Modeling and Inference for Spatial Processes with

"!#$$%&$(')*+ , - "./ 0

132 465798;: =@?BADCC

E>FBGIHJHLKM;NPOQNLGIRSTHJUBVBWGXNJNYKFTGXSZ[O\MJNLG]O\^`_aUB^XbBÎÎWKScN R\_dNYefK0MJKghUBGXMLKWKScNLH_aR\MiNYeBK9FBK*jMLK*K9R\_ k RDl*NYR\MmR\_%n-efGIÎR\HLRZBeco prq NPOQNLGIH;NYGIl*HPs GISTtueBKv@SfGXwK*MLHJGXNxoyRQ_z{GXlPeBGIjO\S |\}}~

k RlNYRMLO\îRWWGXNLNLKKQ n-MJR\_aKHJHLRMuGLO ocO\S0[O\GXMieBO\GIM n-MJR\_aKHJHLRM@\UB^XG]O\SyÒQMYO mO o EHLHJGIH;NPO\ScN@nMLR\_aK*HLHLR\M@K*MLVcoTE q eBKFBFfKS EHLHJRl*G]OQNLK9nMLR\_aK*HLHLR\M\GIO\SJUBS p O\Ss q eBG

@" d ¡f¢r£¥¤¦¨§©¤ «ª¤¬¡D®¡¤¯h¡¬J3®{°d±²§`³Q£´§©¢mµ ®Qd¯h¡f¶·¶¸¡f¶¹£º³Q»¼{® £¥¤-§3¢½§`³\§ ¾d¿ ÀÁ§© £rÂ ÃÅÄ%³Q¶ ¿d¿ ie[O\GIM*f&GÆLO ocO\SBO\GXM ut eBGXH&MLK*HLKO\MLlPeÅFBKO\ÎHÇGXNYeÈHLRWK WK*NLeBRFfH_aRMWRDFBK^XGISBjO\SBFÅOQS[O\^XoDÉ*GISBjÊHLZ[OQNLG]O\^X^XoTFfKË Z3K*SBFBKScNR\MLFBK*MLKF{l OQNLKjR\MLGIlO\^F[OQNYOf q UBlPeÈF[OQNPOO\MJGIHLK0GISWÊO\ScoO\MLKO\H@RQ_-O\ZBZB^XGIlOQNYGXRSÌ-ÍK wGXK*6NYeBK²RMLFfGIS[O\^QF[OQNYOÎ Y i Ð 1 n Ò O\HO\MLGXHLGXSBjm_aMLRW«OÇÎOQNYK*ScNlRScNYGXShUBRUBHË´wQO\ÎUfKF9HLZ[ONYG]OQ^ ÏYÑXÑIÑXÏ iÏ ZBMLRDlK*HLH Î Xi Ï i Ð 1 ÏYÑIÑXÑIÏ n Ò q Z3K*lGÓb[l O\^X^Xo\fNYeBKHLZ[ONYG]OQ^F[OQNPOÎ Yi Ò O\MJK O\HJHLUBWKFNYRÔV`K j\KSBK*M;Ë OQNYK*F_aMJRWÕÎ Xi Ò OQH_aRÎ^XR·H* Yi Ð k GX_ θ Xi Ø θ eBKMJK9Î θ Ò O\MJKuUBSBÙhSBR¸SÊNLeBMLK*HLeBR^XFBH kÖ 1 × k k RM-lUfN²Z`RGIScNYH*%Eb[MJHJNJË´RMLFfKM²Ú9O\UBHLHJG]O\SÊzÈOQMLÙ\R¸wÁMLO\SBFBRWÛb[K^XFGXHUBHLK*FÊNLR0WRDFBK^fNLeBK^]OQNLKScN F[OQNPOÜNYeBGXH%GISfFBUBlK*HHLZBOQNYGIO\^FfKZ`KSBFBK*SBlKGXS NYeBKiRMLFBGXS[O\^hF[OQNYOfÝÞR\NYe NLeBKmeBR\WÊRj\KSBK*RUBHlO\HLK O\HÞK^X^ÞOQHW Uf^XNYGXHYO\WZB^XKßO\SBF6HLZ[OQNLG]O\^MJKjMJKHJHLGIR\SZBMJRVBÎK*WÊH0O\MJKÊl*RSBHJGIFBK*MLKF©tuefKÔjRcOQ^GIH NYRTKH;NYGXWÔOQNLK0NLeBK UBSfFBKMJ^XoDGISBjÔlK^X^àZfMLRV[OQVBGI^XGXNYGXKH*BNYeBK ÎOQNYK*ScN&WK O\HJUBMLK RQ_-FBKZ`KSBFfKSBl*K\dO\SBF MLKj\MLKHJHLGXRS{ZBO\MYO\WK*NLKMJH zÈO·áfGXW UBWâÎGXÙ\K*ÎGIefRRDFßKH;NYGIWÊOQNLGIRSGIHÞlRWZBUfNYOQNYGXRS[O\^X^XoGIScNYMLO\l*NYO\VBÎKQHJR ÞKlRSBHJGIFBK*MmO\^ãË NYKMJS[OQNLGXwKWK*NLeBRFfH²VBO\HLK*FÊRSÊO9ZBHLK*UBFBRQË´ÎGIÙQK^XGIeBRDRF p n-äå²s-OQSBFNxÞR0R\NYeBK*M²O\ZBZBMJR¸áGXWÔOQNLGIRSfH NYRyNYefK ÎGXÙ\K^XGIeBRDRDF p z{S[åæO\SBFÅzF[å²sÌtueBK ZBHLK*UBFBRQË´ÎGIÙQK^XGIeBRDRFWK*NLeBRFÈÎK OQFBH@NLRyUBShVBG]OQHLKF KHJNLGIWÊOQNYGXSBjÔK*ghU[OQNYGXRSBH* äO\MJjKË´HYO\WZBÎKZBMLR\Z3K*MJNYGXKH&RQ_²NLeBKßn-äåçO\MJK FBKMJGXw\KFÌ q GIW Uf^]OQNLGIRSBH MLKHJUB^XNLH@HJeBR¸çNYeBOQNNYeBK0Z3K*MJ_aRMJWÔOQSBlK*HÇRQ_-z{S[åOQSBFz{FBåO\MLK9lR\WÊZ[OQMYO\VB^XK&NYRÁNYeBK0n-äåGIS NYKMJWÊH@R\_VBGIO\H@O\SBFÈMJKÎOQNYGÓwK9K*èlGXKSBloÇÍK O\ÎHJRÊFBKwK*ÎRZÝiO¸o\KHJG]O\SWK*NLeBRDFBH@RQ_GISf_aK*MLK*SBlK UBHLGXSBj ÚGIVfVBH-HYO\WZBÎGXSBj9O\SBFlR\WÊZ[OQMLKuNYeBK*W#NYR zÈäåuéêHÞRVfNYO\GISBK*FßNYeBMJRUBjeHJNLRlPe[OQHJNYGXlÇåËz6 tueBKMJKHJUB^XNLHO\MLK0O\ZBZfÎGIK*FyNYRÁHLR\WÊKF[ONPO _aMLRWëHLK*WÊGXlRSBFfUBl*NLRMmWÊO\ShUf_ºO\l*NLUBMLGXSBjB

lì ² O\FfGIWë9UNYHJoho |\}}f~ E^X^íÇGXjecNYHíKHJKMJw\KF

tdRÊWoyHLR\S{E@ÎV`KMJNÇUfNLHJoho

GIG

îðïòñ ó ,Õô õ¨ö . ÷ ö

ö>ó ø

z o0jMJK OQNLKH;NàNLe[O\SBÙhHdjR@NLRnMLRQ_aKHLHJRMàGLO o9@O\GIM_aRMeBGXHdGXScw\OQÎU[O\VfÎKjUBGXF[O\SBl*K\Z[OQNLGIKSflK O\SBFKSBl*RUBMYOQjKWKScNuNYR¸iO\MLFfHÇNLeBKlRWZB^XK*NYGXRSyR\_dNYefGIHuFBGXHLHLK*MJNYOQNYGXRSÌ ù mO\ScNdNYRNYe[OQSBÙ&NYeBK-R\NLeBKMdWKW V`KMJHR\_BW o&FBGIHJHLKM;NPOQNLGIRS9l*RWÊWGXNJNYK*K\·nMLR\_aK*HLHJRMLH%\UBÎGIO\S ÒQMYO mO o\3K*MLVco q eBK*FBFBKSÈO\SBFÈO\S q eBG¥_aRMmNYeBK*GIMul*RWÊWKScNLH ù SÈZ[OQMJNYGXlUBÎO\MDFBGXHLlUfHLHLGXRSBH GXNYeÁnMJR\_aKHJHLRM-KMJVco q eBK*FBFBK*SÊRS NLeBKml*RWÊZfUfNPOQNLGIRSBO\^DO\HLZ`KlNYHR\_NYefKuMLKHJK O\MJlPeÞKMJKmwK*MJo w\OQÎU[O\VfÎK\ ù O\WújMYONYK*_aUf^©NYRÁNYeBK9_ºO\l*UB^XNxoÔWÊK*W V3K*MLHGISNYefK k K*Z[O\M;NYWKScNÇR\_ q NPOQNLGIHJNLGIl*HOQNNYeBKv@SBGãË wKMJHLGÓNxoR\_-z{GXlPeBGIjO\SO\SBFoefK vÇSBGXw\KMLHJGXNxoTRQ_ieBGXl O\j\RÁ_aR\MNLeBKGXMujMLKOQNJRVGISTNYKO\lPeBGXSBjÊWK HJNPONYGIH;NYGXlH ù O\ÎHJR mOQShNuNLRßNYe[O\SfÙ k O wDGIFO\WKHOQSBF{zÈO\MLÙÔûO\SfHLKS_aRMmZfMLR¸wDGIFBGXSBj WKGXNLeGXSf_aRMË WÔOQNLGIRSOQV3RUNuHLK*WÊGXlRSBFfUBl*NLRMuWÔOQSDU_ºO\l*NLUBMLGXSBjB ù iR\UBÎF^XGIÙ\KNYRTNYe[OQSBÙÈW oÈZ[O\MJKScNYHE@ÎKÙhHLO\SBFBM9UfNLHJohoÅO\SBFüO\GXS[OyUfNYHLO ocOy_aRM&ZBMJRQË wGXFBGISfjWKOQSÔRZBZ`RM;NYUBSBGÓNxo NYR0FBKwK^XRZyW oÁHJÙhGIÎ^XH²O\SBFÔlPeBO\SBlKÇNYRHJNPOQMJNÞW oJRUBMJSBK*oßNLRNYefGIH FBGIHJHLKM;NPOQNLGIRS© %GXS[O\^X^Xo ù O\WçwK*MJojMYOQNLK*_aUB^NLRW o9GÓ_aK ù MJGIS[O@UfNYH;oDo9_aRMdeBK*Màl*RSBHJNYO\ScNUBSfFBKMJHJNPOQSBFBGISfjB KSBl*RUBMYOQjKWKScN@O\SBFHLUfZBZ3R\MJN

GIGIG

ø¨îþýúõÿö , ï , ó øëö>ó ø

9009009009000900900000 09009000900900000 !"# $% 009009009000900900000 !"!#&'() 09009009000900900000 !" )* *+ 009009000900900000 -,+ )* (+

~ ù ScNYMJRFfUBl*NLGIRS 09009009000900900000 ~ ~ ÝmO\lPÙhjMJRUBSBF{O\SBFäGXNLKMYONYUBMJK9íÇKwGXK*0900900000 ~ ~ ~ íÇO\SBFfRWò%GXK^XFBH09000900900000 ~ ~ | q Z[OQNYGIO\^Ú9O\UBHJHLGIO\S{z{RFfKÎH00900900000 ~ ~ 1 0 iR\SBFBGXNLGIRSBO\Î^Óo q Z3K*lGÓb[KF q Z[OQNLG]O\^©z{RDFBK^XHu_aRMuÝiGXS[O\MJo k OQNPO ~ ~ 4 3 zRFBK*ÎHm_aRMÇmONYKj\RMLGXl O\^3RM@z{UB^XNLGIl*RÎRM k OQNYO 0000 ~ ~ 6 . ù S_aKMLK*SBlK9_aRMÇzÈOQMLÙ\R¸wíÇO\SBFBR\Wò%GXKÎFfH@0900000 ~ ~ 1 / äOQNLKScN²O\MLGIO\VB^XKz{RDFBK^XGISBjßRQ9_ 8&MLFfGIS[O\^ k OQNPO 0000 ~ | q lR\Z3K9R\_dNYeBGXH q NYUfFfo 009000900900000 | äGIÙQK^XGIeBRDRFDËÝmO\HJKFzK*NYefRFBHu_aRM ù S_aKMLK*SBlK 00900900000 | ~ û@RWRjK*SBKR\UBHÇmO\HLK 009000900900000 | ~ ~ zRWÊK*ScNåH;NYGIWÊOQNLRMLH9000900900000 | ~ | z{OáGIW UBW(äGIÙ\K*ÎGXeBRRDFyåH;NYGIWÊOQNLGIRSÅ00900000 | ~ 1 0 nHJKUBFBRËxÎGXÙ\K*ÎGIefRRDFyåHJNLGIWÊOQNYGXRSÿ900900000 | ~ 4 3 E@ZBZBMJR¸áGXWÔOQNLKäGXÙ\K^XGIeBRDRDFËÝmOQHLKFÊz{KNYeBRDFBHuÝiO\HLK*FTRS ù WßË ZfUfNPOQNLGIRSfHT9009000900900000 | | z{UB^ÓNYGIHLO\WZBÎKO\SBF q Z[OQNLG]O\^©íÇK*jMLK*HLHJGIRSnMLRVfÎKWH 900000 0 äO\MJjKË q O\WZBÎKíÇK*HLUB^ÓNYHÇO\SBF ù Sf_aK*MLKSflK 000900900000 0f ~ EH;oWZfNLR\NYGXl9n-MJRZ`KMJNLGIK*HuR\_n-äå 00900900000 0f | ûÇoDZ`R\NYeBK*HLGXHÇtdKH;NYGXSBj 009000900900000 GÓw

XG G GIGIG wDG wGXG Gãá

.~

/ ~·| ~&2 ~5 ~7

|~ || |. |. |. |/ |:5

0| 0:3 0;/ 0;/ 05

3

q GXW BU ÎOQNYGXRSyíKHJUB^XNLH009009000900900000 3 } 3B ~ û@RWRjK*SBKR\UBHÇmO\HLK 009000900900000 3 } 3B | z{RMJKå%áDNYK*SBHLGÓwK iRWZ[O\MLGXHLRSfHuÝmO\HJKFRS MnE 900000 3 2 3B | ~ tdKH;NYGXSBq jÔûoDZ3R\NLeBKq HJGIHuR\_ ù SBFBK*Z3K*SBFBK*SBlK 0900000 .:0 3B | | tmÞRQË O\WZBÎKRM GIWZBÎKíÇK*jMLK*HLHLGXRSnMLRVB^XKW 0000 .;. . ÝmO o\KHLGIO\Sq ù Sf_aKMJKSBl*Kç009009000900900000 / | . ~ GIW UB^]OQNLGIRSÔÝmO\HJKF{åËz/OQÎjRMJGXNLeBWÊH 0900900000 / | . | [MYO\WK*ÞRMLÙ_aRMÝmO oK*HLGIO\S ù S_aKMLK*SBlK 0900900000 /$%&?( )* ,A@ 009009009000900900000 ¸~ } 3

w

õ ø ,B øÿîýúõÿö

DC 1FEHG B3 ~ B3 | B3 40 B3 =3 B3 1. B3 4/ B3 2 B3 5 B3 7 f/ ~ /f | f/ 40 f/ =3 f/ 1.

ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_d²O\MLGXRUBHåHJNLGIWÊOQNYRMJH 00900000 zK O\S q ghU[O\MJKåMJMLRMuR\_d²O\MJGIRUBHåH;NYGIWÊOQNLRMLHm00900900000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_d²O\MLGXRUBHåHJNLGIWÊOQNYRMJH 00900000 zK O\S q ghU[O\MJKåMJMLRMm²O\MJGIRUfHå-H;NYGXWÔOQNLRMLHæ00900900000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_d²O\MLGXRUBHåHJNLGIWÊOQNYRMJH 00900000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_ θ _aR\Mn²äåOQSBF{z{S[å 0900000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_ θ1 _aR\Mn²äåOQSBF{z{S[å 0900000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_zÈ2n-ädåOQSBF+8&NLeBKMÇåHJNLGIWÊOQNYR\MLH00000 ÝÞG]O\HO\SfF q NPO\SBFBO\MLFåMLMJRMuR\_zÈäå Kp J s `z{S[åO\SBF{z{FBå 900000 ÝÞG]O\H²O\SBFÊHJNYO\SBF[O\MJFÔK*MLMLR\MiO\SfFÊl*RSfb[FBK*SBlKGIScNYK*MJwQO\ÎHRQ_KH;NYGIWÊOQNLKH_aRMmO_aKM HJeBR¸SÈGXS%GIjUfMLK /f= 3 009009000900900000 ÝÞG]O\H²O\SBFÊHJNYO\SBF[O\MJFÔK*MLMLR\MiO\SfFÊl*RSfb[FBK*SBlKGIScNYK*MJwQO\ÎHRQ_KH;NYGIWÊOQNLKH_aRMmO_aKM HJeBR¸SÈGXS%GIjUfMLK /f4 /009009000900900000 ÝÞG]O\H²O\SBFÊHJNYO\SBF[O\MJFÔK*MLMLR\MiO\SfFÊl*RSfb[FBK*SBlKGIScNYK*MJwQO\ÎHRQ_KH;NYGIWÊOQNLKH_aRMmO_aKM HJeBR¸SÈGXS%GIjUfMLK /f 5 009009000900900000 ÝÞG]O\H²O\SBFÊHJNYO\SBF[O\MJFÔK*MLMLR\MiO\SfFÊl*RSfb[FBK*SBlKGIScNYK*MJwQO\ÎHRQ_KH;NYGIWÊOQNLKH_aRMmO_aKM HJeBR¸SÈGXS%GIjUfMLK /f 5 fefKSÈSfRl*R¸w\OQMLG]ONYKHOQMLKUBHJKFÈGXSyNYeBK9WRFfK^000 ÝÞG]O\H²O\SBFÊHJNYO\SBF[O\MJFÔK*MLMLR\MiO\SfFÊl*RSfb[FBK*SBlKGIScNYK*MJwQO\ÎHRQ_KH;NYGIWÊOQNLKH_aRMmO_aKM HJeBR¸SÈGXS%GIjUfMLK /f 5 fefKS Z L 1 ÏNM 1O GIHuUBHJKFÈO\HulR¸wQO\MLGIOQNYKGXSBHJNLK O\FR\_ Z L 2 Ï 0O

wDG

3~ 3~ 3| 3| 3I. 3I. 3I. 32 35 5f~ 5f~ 53 5. 5/

õ ø ,B

÷QPQR ö

!TSHUWVYX G

~ ~ å%áfO\WZBÎKRQ_O iOQ_aKMF[OQNYO 9009000900900000 0 ~ | GIHJU[O\^DMLKZfMLKHJKScNPONYGIR\S R\_OÎOQNYK*ScNàwQO\MJG]O\VB^XK-WÊRDFBK^c_aRMdHLZBOQNYGIO\^hZBMLRDlK*HLH%GÓNYe R\MLFBGXS[O\^©FBOQNPO 009009009000900900000 3 ~ 4 0 ZL@KO\MLK*HJN;ËxSBK*GIjehV`RM\[²SBKGXjehV3R\MLeBRDRF 9000900900000 5 ~ = 3 ZYieBK*lPÙ\KMËxV`RcO\MJF][mSBK*GIjehV`RMLeBRDRDF09000900900000 5 ~ 1 . å%áfO\WZBÎK@R\_ 10 ^ 10 b[K*ÎFyGÓNYe?ZJSBK OQMLKH;NJË´SBKGXjehV3RM_[-SBKGXjehV3RMJeBRDRFÊHJNYMJUBl*NLUBMLK ~¸} ~ 4/ å%áfO\WZBÎKRQ_ 10 ^ 10 b[K*ÎFGXNYe)ZJlPeBK*lPÙ\KM@V3RO\MLF][ÞSBKGXjehV3R\MLeBRDRFÔHJNYMJUBl*NLUBMLK ~~ | ~ n-äSfKGIj\eDV`RMJeBRRDFyHJGXNYKÎO\V`KÎGXSBjÕ09000900900000 0 } | | ZL@KO\MLK*HJN;ËxSBK*GIjehV`RM\[²SBKGXjehV3R\MLeBRDRFTFfKlR\WÊZ`RHLGÓNYGXRS)00900000 0 ~ 3B ~ k K*SBHLGÓNxoTnÎRQNYHuR\_ φˆ _aRMÇzÈäå p`J s q z{ädå pba sn-äåO\SBF{z{SBå 0000 3;3 3B | k K*SBHLGÓNxoTnÎRQNYHuR\_ θˆ 1 O\SBF θˆ 2 _aR\Mun-ädå O\SBFÈz{S[å 900900000 3l*ÎRHJKMuÎRDRÙÊOQNuNYefK c 2 O\ZBZfMLR áGIWÊOQNYGXRS 00900900000 .e3 3B 7 ndR¸iK*MÇ_aRMmNLeBKNYK*HJNÇR\_àGISBFBK*Z3K*SBFBK*SBlK 9000900900000 .;. 3B ~¸} ÝÞG]O\HuR\_z{S[å%Ë´V[O\HLK*F{K*HJNLGIWÊOQNYRMiR\_ φ _aRMmwQO\MLGXRUBHiwQO\^XUBKHuR\_ β 00000 .:/ 3B ~~ ÝÞG]O\HuR\_zÈäå p`J suRQ_ φ _aR\Mmw\OQMLGIR\UBHiwQO\ÎUfKHuR\_ β 900900000 . 2 3B ~·| ÝÞG]O\H9O\SfFüH;NPO\SfF6OQMJN9KMJMLRMRQ_ÞNLeBKßKH;NYGIWÊOQNLKHR\_ β UfHLGISfjz{S[åæ_aRM&wQO\MJGIRUfH wQO\^XUBKHuRQ_ φ 009009009000900900000 . 5 3B ~ 0íKÎOQNYGÓwKKèlGIK*SBl*oR\_DNYeBK²z{SBåË´V[O\HJKF9KH;NYGIWÊOQNLRM©R\_ β lRWZ[O\MJKF&NLRÇzÈäå pKJ s _aR\Mmw\OQMLGIR\UBHiwQO\ÎUfKHuR\_ φ 09009000900900000 . 7 3B ~ 3ndR¸iK*M@l*UBMJw\KH@_aR\MiNYeBKNLKHJN φ Ð 0 _aRMmwQO\MJGIRUBHÞw\OQÎUBK*HuR\_ β 900000 / } 3B ~ . ndR¸iK*M@l*UBMJw\KH@_aR\MiNYeBKNLKHJN β Ð 0 _aR\Mmw\OQMLGIR\UBHiwQO\ÎUfKHuR\_ φ 900000 / ~ . ~ n k %HuRQ_àwQO\MJGIRUBHÝÞK*NPOßFBGXHJNLMLGIVfUfNYGXRSBH 9000900900000 / 5 . | \R\GIScNFBKSfHLGXNxoyR\_ k GXMLGXlPeBÎKN p ~ ~ ~ s 09000900900000 2\} /f ~ å%áfO\WZBÎKRQ_àÍOQ_aKMJWÔOQZ k OQNPO _aRMOÁäR\N 00900900000 2 / /f | å%áfO\WZBÎKRQ_ÝiGXS[O\M;oÊÍOQ_aKMÇäR\N k OQNYO 9000900900000 2;2 wDGIG

/f40 äR¸çR\MLFBK*Mgf©KMLSfGIÙ\K9RM;NYeBR\jRS[O\^3Z3R\^XoDSBRWG]O\^XHò0900900000 /f=3 q GIW UBÎOQNYK*FyRMJFBGIS[OQ^3iOQ_aKMJWÔO\ZF[ONPO GXNLe φ Ð 0 900900000 /f1. ÝÞRR\NLHJNLMYO\ZFBK*SBHLGÓNYGIK*HuR\_dNYeBKK*HJNYGXWÔONYKHuVBO\HLK*F{RSiOQ_aKMGISàGIjUBMJK/f=300 /f4/ q GIW UBÎOQNYK*FÔiOQ_aKMWÊO\ZTGXNYe φ Ð 0 Ñ 5 9000900900000 /f 2 ÝÞRR\NLHJNLMYO\ZFBK*SBHLGÓNYGIK*HuR\_dNYeBKK*HJNYGXWÔONYKHuVBO\HLK*F{RSiOQ_aKMGISàGIjUBMJK/f4/T00 /f 5 q GIW UBÎOQNYK*FÊiOQ_aKMiWÔO\ZÊGXNYe φ Ð 0 Ñ 5 β Ð 1 V[O\HJKFRSf©K*MLSBGXÙ\K&Z`R^ÓoSfRWÊGIO\^ 09009009009000900900000 Z L 2 Ï 0O f/ 7 ÝÞRR\NLHJNLMYO\ZFBK*SBHLGÓNYGIK*HuR\_dNYeBKK*HJNYGXWÔONYKHuVBO\HLK*F{RSiOQ_aKMGISàGIjUBMJK/f 5 00 /f ~¸} iR\Shw\KMJjKSBl*KyR\_ÞNYeBKÔÚ9GXVBVBH q O\WZB^XKM9O\SBF q NYRDlPe[O\H;NYGXlÊå²z _aR\M9NLeBKÁÍ OQ_aK*M h ~ 0 k OQNYO 009009009000900900000 /f ~~ ndRHJNLKMJGIRMuFBK*SBHLGÓNYGXKHO\SBFFBK*SBHLGÓNYGIK*HuR\_ MLE H_aR\MmNYeBKÍOQ_aKM h ~ 0 k OQNYO 0

wDGIGIG

2:5 :2 7

5}

5c| 50 53 5. ó ./ ïòö

)* *ji E

Ý

tdKlPefSBGIlO\^ k K*NYO\GI^XH 9009009000900900000 7 } iR\WÊZBUNPOQNLGIRS[OQ^ k KNPO\GXÎH 09009000900900000 7 0 O wQlO m k äGIVBMLO\MJoÈ09009009000900900000 7;5

Gãá

ïonî ! øÕö

R p

yqu

8&MLFfGIS[O\^F[ONPOyO\MJGIHJK GISÈWÔO\Sco{O\MJK O\H&RQ_²O\ZBZB^XGIl ONYGIR\SBHuGISBl*ÎUBFfGISBjWÔOQSDU_ºO\l*NLUBMLGXSBjB`HLRDlG]OQ^

HLlGXKSBl*KH*clRWW UBSBGXl OQNLGIRSfHO\SBF WKFfGIl OQ^cMLKHJK O\MJlPeÌ[RMdKáfO\WZBÎKQ\l*RSBHLUfWÊK*MLHOQMLKmOQHLÙ\K*F NYR MYOQNLKZBMLRDFBUBlNYHuRSOßHLlO\ÎKR\_ ~ Ër. MYO\SfjGISBj _aMJRWÕKálK*ÎÎK*ScNuNYRÁV[O\FÌ q GIWGI^]OQML^Xo\HJNLUBFBK*ShNLHOQMLK O\HLÙQKFNYRMYONYKNYeBK*GIMGISfHJNYMJUBl*NLRMRMuNYeBK0lÎO\HLHÇRSÈOÁbBw\KË´Z3RGXScN@HJl O\^XK\ q NYUBFBK*ScNYHGXS{l*^]O\HJHOQMLK O\HLHJGIjSBK*FÔ^XK*NLNLKM-jMLO\FBKH-NYeBOQNmOQMLKRMLFfKMLK*FÔlOQNYK*jRMLGXl O\^[FBOQNPOf q UBlPeyFBOQNPO9e[O wK@V3K*KSyH;NYUBFBGXKF KáDNYK*SBHLGÓwK^ÓoGXSüNLeBKÔGXSBFBK*Z3K*SBFBKScN l O\HJKÔRM0MLK*jMLK*HLHLGXRS HJGXNYUBOQNYGXRSÌytueBK*MLKÔO\MLKWÔOQShoüWK*NLeË RFBH0R\_ÞGISf_aK*MLK*SBlKÁNYe[ON9e[O wKÔV`KK*SFBKwK*ÎRZ`KFÅ_aRMNYeBK*HLKHLGÓNYU[OQNLGIRSfH p K\ jB sE@jMLK*HJNLG¥ ~ 7:5 3etr sê\RefSBHLRS{O\SBFE^XV3K*MJN ~ 7;7:7 t]s ù SNYeBGXH²MJKHJK O\MJlPeÌDÞKl*RSBHJGIFBK*MÞRMJFBGISBO\^BF[OQNYO9NLe[OQNÞO\MJKÇHJZ[OQNLG]O\^X^XoFBKZ`KSBFfKScN ²[RMKáfO\WßË ZBÎKQàHJUBZBZ`RHLKÁiKRVBHJKM;wKÔj\KRjMLO\ZBeBGXl O\^%F[OQNPOTNYeBOQN0O\MLKRMJFBGIS[OQ^¥ Í6KÞRUB^XF6K áfZ`KlN FBOQNPO _aMLRWâSBKO\MLVcolRUfShNLGIK*HÞNYRV3K@HLZ[ONYG]OQÎ^XoFBK*Z3K*SBFBKScN ù SyOWÊO\ShUf_ºO\l*NLUBMLGXSBj0KScwDGIMLR\SBWÊK*ScN ciK WÔO oße[O w\KRVBHJKM;w\ONYGIR\SBHRSÊO0HJZ[OQNYGIO\^BRVhJKl*N²^XGIÙ\KuNLeBKV3RDFfoßR\_©O\SÊO\UfNLRWÊR\VBGI^XKiRM²O9ZBMLGXShNLKF lGIMJlUBGÓN²V3RcOQMLFÌtuefKSÌDNYeBKÇRVBHJKMJwQOQNLGIRSfHÞGXSÊSBKO\MLVcoÎRDl ONYGIR\SBHR\_ÌNLeBKHJZ[OQNYGIO\^[RVDJK*l*NÞGIÎ^fV3K HLZ[OQNLG]O\^X^XoFBK*Z3K*SBFBKScN tdRV`KHLZ`Kl*GXb[lQDl*RSBHJGIFBK*M-NLeBKumO_aKMLWÊO\ZGIS%GXjUBMLK ~ %tueBGXHÞOQMLGIHJKH-GISÁGXShNLKjMLOQNYK*FÁlGIMJlUBGÓN p ù usÌWÔOQSDU_ºO\l*NLUBMLGXSBjieBK*MLK²eDUfSBFBMLK*FBHR\_GIScNYK*jMYOQNLKF9lGXMLl*UBGXNLH p ù é HRMlPeBGIZfHPsÌO\MJK-_ºOQVBMLGXl OQNLKF HLGIW UB^XNYO\SBKR\UBHL^ÓoßRSTO HJGI^XGIlR\SÊFBGXHLÙÁl OQÎÎK*FÔvO uw_xzyj{%EmNiNYefK&KSBFÔR\_NYeBKÇ_ºO\VBMJGIl ONYGIR\SÊZBMJRl*KHJH O\Î^NYeBKlPeBGIZBHiGISyKO\lPeTmOQ_aK*MuO\MJKNYK*HJNYK*Fy_aRMiwQO\MJGIRUBH-_aUBSBlNYGXRS[O\^XGXNYGXKH*ààGIjUBMJK ~ ~ HJeBR¸HmNYeBK MLKHJUB^XNLH@_aRMRSfK Z[O\M;NYGXlUBÎO\MiiOQ_aKMJWÔO\Z©utueBK ^XK*NLNLKMJH@l*RMLMJKHLZ`RSBF{NYRlPeBGIZBHÇNYe[ON@_ºO\GX^ÌFBUBK0NYR FB}G |3KMJKScN-_ºO\GI^XUBMLKÞWÊRDFBKH*%tueBK*HLKÇ_ºO\GI^XUBMLKÞWÊRDFBKHRQ_ NYKSlR\MLMLK*HLZ`RSBFßNYR9NYGXjecNYK*MHLZ`Kl*GXb[lOQNYGXRSBH ~

_aRM&NYeBK HYO\WK _aUBSBlNYGIR\S[O\ÎGÓNxoHLRTNYeBOQN&NYefK*oOQMLKßRMJFBGIS[OQ^àF[ONPOf ù S ù >WÊO\ShUf_ºO\lNYUBMJGISBjB3GXNGIH iK*Î^ÓË´ÙhSBR¸SüNLe[OQNNYefKÁ_ºOQGIÎUfMLKH&O\MLKßHJZ[OQNYGIO\Î^ÓoFBKZ`KSBFfKScN tuehUBHdGXN&GXÎ^àV3KÁR\_ÞGIScNYK*MLK*HJN9NYR O\S[O\^ÓoÉ*KßNYeBK*HLKHLZ[OQNLG]O\^X^Xo{FBKZ`KSfFBKScNRMLFBGXS[O\^FBOQNPOf ù S ù ÛWÊO\ShUf_ºO\l*NLUBMLGXSBjBÌR\SBKßNxoZfGIl OQÎ^Xo RVBHLK*MJw\KH9OÊWGÓáDNLUBMLK9R\_MJKjUf^]O\MÇO\SBF{RMLFfKMLK*Fl ONYKj\RMLGXl O\^F[ONPOf ù SÈNLeBGIHMJKHLKO\MLlPe©©iK0GI^X^ lRSBHJGIFBK*MRSB^XoÔRMLFfGIS[O\^3F[OQNYOf z{RDFBK*ÎHm_aRMmHJZ[OQNLG]O\^X^XocËxFBK*Z3K*SBFBK*ShNiVBGISBO\MJoÊF[OQNYOÁeBO¸w\K9V3K*KSFBGIHJlUBHJHLKFGISyNLeBK9ÎGÓNYKMLOQNYUfMLK\ O\SBF HJK*w\KMYOQ^@WK*NLeBRFfHÊR\_GISf_aK*MLK*SBlKe[O wK{V3K*KS FfK*wK*ÎRZ`KF©"R\MK áfO\WÊZfÎK\ s ù HJGISBjf ~ 7c| .zt FBGIHJlUBHJHLKHÈOÿHJGIWZBÎK{b[MLH;NJËxR\MLFBK*M{OQUfNYRQË´ÎRj\GIHJNLGIlWÊRDFBK*^&RSæOÿÎOQNLNLGIlKQ q UBlPeæWÊRDFBK^XHye[O wK O\ÎHJRyV3K*KSR\_-GXScNYKMJKH;N&NYRyZfehoDHJGIlGXHJNLH_aRMÇHLRWK NYGXWÊK p KQêjfX~ s íUBK^XÎKQ ~ 7 / 7 t]så%áDNYK*SBHLGXRSBH&R\_ HLZ[OQNLG]O\^X^XocËxFfKZ`KSBFBK*ScN WRFfKÎH9NYRÈl OQNLKjRMJGIlO\^ÞFBOQNPOÈeBO¸w\KTO\^XHLRV`KK*SlRSBHJGIFBK*MLK*FÌ q KKQ_aRM KáfO\WZBÎKQ s q NLMYO\UBHJH ~ 7;2;2 t[_aR\Miz{O\MLÙQR·wÁMLO\SBFBR\W#b[K^XFÁWÊRDFBK^XH_aRMW UB^ÓNYGXlR^XRMàR\M²lOQNYK*jRMJGIl OQ^ F[OQNPO%tueBK*HLK&OQSBFÁR\NYeBK*MMLK*ÎK*wQO\ScN-^XGXNYK*MYOQNLUBMLKiO\HiK*ÎÔ\HVBO\lPÙhjMLRUfSBFÊWÊOQNLKMLGIO\Ô\MLKuMJK*wDGIKiK*F GISTNYeBK9SBK áDN@lPeBO\ZfNYK*M tueBK*MLKÊe[O\H0V3K*KSMJKÎOQNYGÓwK^Óo^XGXNLNLÎK ÞRMJÙüFfRSBKRSWRFfKÎGXSB j {_yj{Ny\l ONYKj\RMLGXl O\^FBOQNPO NYe[OQN@O\MJKHLZ[ONYG]OQÎ^XoFBK*Z3K*SBFBK*ShN# 8&SBKlO\SUBHLKNYefK0WK*NLeBRDFBHuR\#_ s q NLMYO\UfHLH z~ 7¥d^å é²³:³²kdëÙäk>µ²³Ôâ. ´Ôdkµ > ©dTå ¥{Ψ¥ : HΨˆ ²À ÝiΨkÝ²³Σ ò É Ψˆ ðÀ ñ ¯]k¥Jkµd²³Öâ.´kdÔµd³² 2² k´ ¦ó ô©õ äK*N

j L˚ n Ψ0

∂ ∂Ψ j

n

n

Ψ Ψ0

0

1 jk n n

n

0

n ∞

n

∂2 ∂Ψ j ∂Ψk

jk

0

n

n ∞

1 n n

j

n

Ψ Ψ0

n

0

0

1 k n n

0

0

1

0

n

0

1

1 n

0

2 n

T

J n

0

0

1 n n

1 n n

Ψ0

n

0

n

0

n

n

n

n

1

p

n

n

n

0

1

n

n

j

α 2

j

p

p

T

1

6öï÷ 1 À αFø kdT seò{ k´ Σòv T:² k´ùÝT² k ²"²^ ßù ßkd:Ùäk £kφˆ ²³ì ^£k´k¥diúÒ φßÔ®û¦Tk ²Ì, zÔvk²³ 2 ßkßkT²ÌÖ 2 ²³ì ¥ik²à i³²Ö²"´ Ý²³ Ý²³x ³¤å £k+ ²Ý {Ùä Ôã µ é ßk²Ìåd´{ kT²³£k³T£k ¥ ¥v kTÝ² ¥²³kd Ùäkã ß$µd©¥Fí ´ ²"²T ß k²Ö´ßÔ²Ìå"´k ²³T®ü. ¤´ Y þ ÿ 46% Ù¤ ¥åªFèµkµddãÝ²³{ÕÔþYÿ §Ù kJ û ² 58% ² ÂÙ¤jJ _d åFèJµdkµdd+²àÝÒ Ñhÿ µ ² ß ô ´! ² ²Ý6å ¡ kµ kvÝ T² 67% 83% ÕkYþ ÿ k :Ý² ² ¤Ù _ k´ TÃ ´ T²³Â²Ýþr.ÿ ± Â §Ù k:û± d ìhÑ ÿä¯. ² d å F èJµd kµd d _ #L d 6Øj£ ¤ _ x¥ ± ² k _d´Ç0Ù kû û®µd² ß d¥æþ8ÕÔÿ ¦kµ`vk²Ì %jäþH.ÿ + åÒ¥ Ed $ ßk x ßÔ²³Eß db æÓ kä µ ¢ ¥³£k_ éû £ _ k ²Ì jJT £Ô ± ²³8´Ô_ kj£ ¥²³k+²àÝ φˆ Ý²³ φ 8 0 ª 0 Ï 3 k´ 0 Ï 5 J«® x µ J¯ÔþY2 ÿ ²³_qC¬ µ d_d´J¦kq¤Ô²CdT äÓ£kNäµd² ß k ù± ß JT Ý²³ ± kµ é¤Ù k+â.£k :µd²Ôâ. jJßÔ å"¥²³£kxµd²kµd¥£k¥²³k ªÛzC² ¥² :¥ L ²¥Ý ã´k¥_ T k §£ ²ÝkY µ C¤Ù 6µd²kµd¥£k¥²³k ã ¥ þ ÿ ¯»iÑ ÿ k´¤þH.ÿ8²Ý Ý²³Ç Ù k Jjû o ³¥Cå d Gk Ô´_ k´ ´ T²³¤²àÝ φˆ Ý²³ 15 15 µ n 8 225 ± φ 8 0 ª 0 Ï 3 ª 0 Ï 5 K8 3 «® ¥°¯ ! Cå dÓ£k¥¡ ßk C² k µ d³²³T ê+k rÔµd£Ô´ d´ ! Ôx µd² ß T²³Ç¤ÕkþYÿ x :k ²Cx¥k µd¥£k´´´k£20 ²ìµ² ßÔ£j ²³ Õ CÂÙ¤ k _ d z ¥ d]Ý²h k6 _¥µ k´ zÓ£k i kµ² ß I ´ ² ® b k´ £ ´ dT²³ 6¤Ù ¤_ d å Fèµ kµd d²¥Ý ÂhÑ ÿµd² ß _ dÓ £kkC² j ¥ k Y þ ÿ kC¦Ý² 59% ² 92% ¬Ù¤Ô{µ² ß { 32%´ ² ² 49% 10 10 Ý²³ ¥µ ÐdÔý µ P¯ èJµd dkµ d_ ²:kµ + Óã ã²¥Ý x µ C ãk²Ìá £kT ² µ² ß ¥²³²*Ý _ 2 ²³Tæ²%Ý ãµ í)ßkC² k¥ d¯kó θ ª k 8 ô û k

1.5 0.0

0.5

Density

1.0

MLE(X) STEM(Y) PLE MnE

−1.0

−0.5

0.0

0.5

1.0

1.5

1.5

φ^

0.0

0.5

Density

1.0


−1.0

−0.5

0.0

0.5

1.0

1.5

1.5

2.0

φ^

1.0 0.0

0.5

Density


−0.5

0.0

0.5

1.0

1.5

φ^

â ·ÉE¿jº»¸U³j¾c´Pµ#ã¸d¹*¸·¼ä)È%²¹P¼À¸é¹½ φˆ ½ ¹çºËæåhÎªÂ_ç Ä è ÌÇË~åiÎªÂ×é ÄÀè%ê iå Îë°P¹¥ºìË~¹¥Î )½ ¹%º φ 8 0 è φ 8 0 Ï 3 °¹*º φ 8 0 Ï 5 ½)¹%ºíîÓ9 Å ½)¹%º 10 10 ² °j¼&¼À·cÁ³¸

û³û

£ k ´ ´rÿT²³ Ò Ø ¬ Õ φ àô ô ô¯ þUjÿ í]¯jl¯¯ ]í Ñh¯jl¯ ÿ rþ]í ¯j.l¯ ÿ þYÿ ¯j d Ñh¯j ÿ û þr¯j. ÿ ¯j o í]¯jl¯ ¯jl¯ ]í ¯jl¯ ô ¯j Ìõ ¯j û ¯j ¯j í]¯jl¯ ¯jl¯ ]í ¯jl¯ ¯j ¯j ¯j ¯ ¶°±%²¸³j¾ïÇµ¶·°P¸Ø°P¹*ºÙ¸¼&°P¹*ºÍ°kþ>ÕÔÿ Ý²³zþH.ÿëÝ²³ 8 ¢¥³£ £k _§ý ûjÊk_k²ÌY jï ¥å Fèµkµdd 8²Ý:þH.ÿ µd² ß _d´ò² £Ôk²j kφ þ ÿ >_ ^ I± 40% Y rµd² ß T²ké ± ² rKÔ´ dEß 3dkj´ d 2²à«Ý jrå ¥£ ì²Ý ¤Ù d_ §¥ ßkßÔ²áÖ ¥ ³ ² ¦ ¥ ì èJµd dkµ N 8 µ ³²³ d¦µ² ß Ô ´ ² ± 10% ²kTå"ÔIx d ´ k£j²³k ¥²³æÝ²³ ¯:µ ³²³Td û

0.16 0.14 0.12 0.10

Standard Error of the estimate

MLE(X) MnE_3 MnE_4 MnE_5 MnE_6 MnE_7 MnE_10

-0.6

-0.4

-0.2

0.0 phi

â ·ÉE¿jº»¸U³j¾@³Íµ¤¹ç¼È¥°kº²³Ó jÂ ä´

o

0

û

1.0 0.8 0.6 0.4 0.0

0.2

Power of the test (phi==0)

MLE(X) MnE_3 MnE_4 MnE_5 MnE_6 MnE_7 MnE_10

-0.6

-0.4

-0.2

0.0

0.2

0.4

0.6

phi

ý

â ·ÉE¿jº»¸Y³¾Çµ ê ¹Bv¸ºG½)¹%ºI¼»·j¸¼Ì¸d¸¼J¹½«·c¹*º¸¬È¸d¹*º¸d¹*Á³¸ DCE1GFIHKJLM/9N4!O1QPRH0&LM/9N4!OST!$*QPU!$#V#V&1Q(WXPU1QY9N4!:L

±

ý HÔ²» _£Ô´ rk²³Öí k² ²³d²³£Ôéµ _C Hµ²³k¥´d Ô³ µ²àÝ+ £ ¦vÝ Ý]²Ý*¤ _µ# dT² k´¤¥ Ð ¥Ý 20 20 k ´ β ý ®µd²³kT´_ 2 ²²Ý β Ò φ k´Ò+µ£jTí)ß$²³¥ Θ ]Ù¤kµ . ÂåÖd´ TÞ ßµd 0µ ¤²Ý6 ³ ¥²³>ßÔ² k zN ¥k³ ¤µ²»å T #± d ²³ Ò ²å £jd ã µ ¥²ÓEv å"F´ ²àí ßk¤ßk ²Ô ÂÙ¤é ²³k10 ´k20NÏkµ á¯! ²à í) ßk v ßk² Ô d ¯° ª20 å ª20 Ò²r´kN Ï d . ã µ +²Ý ±¦ k d_ v å Ô³ ã ¥µ # ®¥ ¤Ù k ´kN Ï kµ ¤^ Â d´kÂN #_ d´r^# ²2µ dqÛ å_dd¯EÂdT£kßk²Ìå"´ ³²"²Ö´¥´ ²*Ý ãß TÝ²³ 2 kµ x¥ Ò²àí) ßk xßk² Ô Î#¸¼À·g ¼ °j¼À·E¹ ¹ ± ý φ β 6µd²³kT´°â.bÍ6ßkT²³ß_d²àÝ§hd_ ² °²Ý Ô´ ê+k hÓ"£ÔßkT² k µ _ K 8 3 ãb £k´k dÇ´ 2¢£k Âjû ¯ Ô´û k²Ìz ªk _ dÂ²Ý Id_ ² oo

0.0 -0.010 -0.015

bias

-0.005

0 0.4 0.8 1.5 2

0.0

0.2

0.4

0.6

phi

â ·cÉE¿º ¸ ³¾c´ZÕµ¦¶·°P¸{¹½«Ë~¹ÍÎ0±*°P¸¸§º¸d¸¼À·g¼°j¼á¹çº:¹½

φ

½)¹%ºG¾j°kºµ²³k¥_d Ô ãÔãµ _C §Ý µd¯0Nããß$²k 2 β kq ²àí ßk xßkT² k Edµ £k_ k _d vþH.ÿ¥£k¬ k _ d´ìÝ²³¤ db k ˆ Ó µ kµ d²³j£ ¤Ù Ìô ã_ k´ T^´ dT ²³äÝ²³ β Ôµd xN φ 2 β ¢ ¥³£k_®û _k²Ì MLE ¦xX ¥åC èJµddkµ æ²ÝÍβÂþr .ÿ _ ²³²φÝ µ² ß ´² Ý²³iå T²³£kzå £ ®²Ý Ý£kkµ ²³>²Ý x¤Ù éå j£ d £kk² j k φ β 5 À 10% ¥ ² µd²k_ ¥ j¤Ù ièJµd dkµ d0´ dµ ²³T²Ý ç²³j£ Ý²³ φ 8 Ï 5 [ äÕÈP¹ ¼»·d¸ ¸&·g¸:¶Òd¸ ¸¼ ·g¹ÍÉ ± . ý ¦k²Ì µd²³kT´0 ß$²CdT0d_ _d´ ²³ ßkßÔ± ²áÖ J d¥k²"²"´¬ ¥²>ßkT²ÖµFí ´k £k H2¢%: ²β k¥0Â_ d³_ dT²¬ßk± T² k ¯ U² ßçC² ± v²ÝÒ db H : φ 8 0 8 ¤Ù :â.T_ 0 ßçC² ¥¤¥ _ {²àqÝ k² ²³ dN ²Ý kÂ k´ Jßk ^í φ

0

0

o

k

-0.005 -0.020

-0.015

bias

-0.010

0 0.4 0.8 1.5 2

0.0

0.2

0.4 phi

â ·ÉE¿jº»¸Y³¾c´´Pµ¤¶·c°¸:¹½ Ë~åiÎÂ_ç Ä E¹ ½

φ

0.6

½ ¹çºG¾°kºjÕÖ§ß µdâ. µ r ¥å ± T Ô dµd²³kÝ´Ô²³¥²»¥²³ ´kâ.b bTí) ²³kj£ ´²³²Ý £ÔX ³å dþ> Ði¢ J¥ 2 kk¥k²à í ²kTå ²³kä¥ φ x ªσ ª f X x A N É n ∑ b ý σ 8 1À ¦d_ ± Jµ`k²³_dL Ý²³ªµ`kk¥µ ²L´k Tµd £kT´LLú ßjd jµd²k¥´ d+²k Ô+¥C² ²³ßk¥µ ²"´ d¥ d_ C¤¢.²³Ð µ{ß ∑ 0x _ dÀ ³_ µdT²ßk² Ôµ ¯aβ µd²³k´Ô ¥²³ Ò´kb kj£ ²³ _ Hk² æ Û b ¦ 8 ¯ a 8 a ªÏÏÏTª a qxåµ²z²àÝµ²»å T d Þ

i

i

i

j

2 i

i

φ ni

i j Ni

2 i

i

\^ ¨

i1

φ2 4

4 ni

ip

t

$& $I, üý"%#þ {dcø

j

j Ni

j

i

T i

-ªGùh$+ "

. µ«i ékk²CÙ¤´9¥ëÕ§ d µLå¥²³d > _¯åCdµ² jßkT£j £Ô ²ï²³Ö²Ý¦í _d´ ÜTµd ² ßÔßkßk² µ`¦d´ ¦ Ý¤ Ð¥ dåCk²"E²Ö´§HéßkT¥Ö²àíí ý ß$²³_d´J 0äN d £Ôh² ´k´k_d T+k¥ ßk²Ô ä´Ô µ£k ²ã²Ý4 fe þH²³ &Ø dT 8¥ÔÝ d_ dkµ Ò² E¤´Ôµ£k_ d´ æÙ¤ ²k²C²kµ ßk²³ßEdb ²Ý% E À M ¥³²³T Ô²J¥²³k¤k²³¥´k æÝ²³zþ8úæÿþÃ%Ù¤ãµ`k²³¥µ ýã²Ý]þ k´ ²³Ô ² Ô ²Ýxµd²J Cå dT dkµ >²ÐÝ >þ8 úæÿ þ ßkT² kM _ H´Ô± ¥èJ µd£kN :T£ k´r Ù kd¯ ¯ dµ² k´ d´£k¥kÂ Þ Ôå ¥£ d²Ý ¥k ¥ k´2¥kµd_ TkÂ h j ¥³²³T L µdg X²yd*Ψh ²+µ²³©ådTdÔµ C v²³£k ßÔ²k ¯ jä_m ¥"_äT £k ¥käÝ² Ò´k¥_Ô£j¥²³ ª ä´Ô¥èJµd£kN á¯ k´ _ å #²J_ dT. ²³_ ¦² &Ô ä ßk¥ k i &

oÀ¢ ¤Ù JÕÖÿþ ¥³²³Þ N Ø²³k ²Ì Mg ¥¯ 1 Þû k´ ú d £Ö Ô´ ç²³X d¯ ßk ´ þ8úæÿþÃ 6]¥{Ý µþ8úæg Xÿþ y Ψ h 8 ΨÕÔ ÿþ¬¯ T k³æ´k 9²Ý 2 ¥ Ψ´ Ý² j® µd£Ô ä´kb T kj£ ²³ :²Ý ª ¦ jd ¥i µd £kT d. db i²àÝ ¤Ù k{¥{µ £ ´¨Õí)_ dß ¥k_ ´²Ýzÿí _ dß ù¤Ù ÓÜTµ² ßkj L J´ ÝÂ¥ d k²"²Ö´ Ô åΨ £ Â²Ý 2 Ö 2d´ ²2L«vF~db Ψ ± Ù¤¤dÓ£kµé ²àÝd b d ² j ´¥I k k d6µ²³©å dT «² _ ² ´kb _ Þ kj£ ²³Ç L ¤Ù Þ J²ÇÝ Ô ´kb kj£ ²³Jµ Ò i£k ´ ± Ò d_ z ²ÕÝ xYþ ÿ ²Ý Ψ ß°¯ ¯¯ ä ßç²³_ ²JkÞ ²Ck r¥ä²³k ßkßÔ²áÖ ¥²³G²ªg ¤þYh ÿ¤ dÔ² T£kkµ d´ X yª Ψ : ³ ² k £ k ß ² Ô ¯ äµd²k´k ²³ ´kb kj£ ²³ ¥ é Ö ) í k ´ £k ¥å T ik² Ú´k¥_ Ôj£ ¥²³ g X y φ θh ∝ N X 0 Σ Ik ª ª ∏7 r l m n ∝ ª ª o 1 66 66 I À φC M É exp À 2 X p I À φC M É X q ∏7 Ik r l m n ª 1

1 M

m

M

M

j

i

j 1

m

m

m 1

m

n

θy i

n

i 1 1

1

xi θyi

1 2

1

n

i 1

θy i

1

xi θyi

¦d_Òσú d1¥À 2 îz c 8 ¥Ý ± j 1 N Ô´ 0 ²Cìd ^à¯ k´ M 8 diag σ ªÏÏÏª± σ :Õ ßkÞ ¥k¦´k¥µ ÝT² m kiåÖ _×Ö_µ¥²³ ¥³²³N ¥+å 8 Fèµ ¬ Â¦ n ¥¤ Ô_ ´2£k_ jkã ßk¥kÓ²r £k X ÝT² Ô ´kb kj£ ²³Ç ô ij

2 i

4 ni

φ2 4

1 ni

k

i

2 1

2 n

Ð ¦± dµ Âàþ í ßk éÝßk² dT E£k_ dÇ´ H¦Ð ×Ö_dLµ ¥²³¬ ßk¥k £Ôkµ d´ïÔ²³ ´k¥_ T k§£ ²°¯ ]Ö_dµ ²³¬ ßk¥kµ Ú Ý² e T£kkµ d´ìk² çN ¥²» dÒ l k´£kßkEß dä¥ u µ ^ E+ ßk d ´ Ý²³¥²» T N 0 ª 1 zÕ ßk ÝT² Þ T l T3 u T p Ý Ô´ L£kT ®d¥ ã³ ² ²:b dß Φ 2 ¦_ k´ ´¨kÞ ²³ ¤Ù i ÓFÖEß dµ d´ë£ E± d{g ²ÝN ²³kh Â É ¯]¦ d_ ) t ¥ ú ¢ «®ÂßkC² k¥ Φ u À Φ l ´ dµ d¯£ e Â²àÝæ d ¥²³k+¥kµd_ _ C Ô µ _¯PxÝ²³¥²ÌÔ Ô²Ö´¦¥E ²Fèµ¬ Z z U 0 ª 1 zÕ ßk 8 Ý² £kkÝ²³ g Φ É z Φ u À Φ l h Û Φ u Ð L£kT i Φu Φl ÙΦ¤kÉ ³²³T ©å²³¥åCdq Få £ k ²ék²³ Úú ¢ Ô´ k´²³i ©å t ¯j²8N Âµ Ú Eª :µd²³Ô£ kj ì¢%² Edb {Eß d^ÝJ²³ kµ ¯ ¦T£k³ _ vµd² Ôk¥k Ò² k²"´k Ø d´>²³>²³£ÔÐ Ø d Ý²³ £Ô ²³°¯* X ®¥¥ vå" d´ ´Ô´kΨ ²³ £k kµ ß Yde g Ψ¤êxyh £Ô®³² ²µ² ßÔ £j ß$²³ b²+´kb Tk£j ²³>²Ý ³åg ΨéX²³T´kyh ý ´ i²ÌåCdd¯j+# ² µd² ßkj£ « £k d ´ß$²_ ¥²³ ª Ï +µ ² j I ®´kb kj£ ²³J²Ý d _ k

i

o

±

¥ d k {²£j¤ã ¬Òå k ¦Ð dµ E g Ψ X yh ∝ g X Y Ψ h ª ª ª ∝ N y 0 ª I À φC É M φ )z ∏ Ik r l m n π Ψ ª 7 ± Þ π Ψ ¦d_ ý ¥ ®ßkT²³´k ¥_ T k §£ ²Ç mä´k¥èJµ £ki²{ ßk´k¥dµL ÝT² Ô Ò´Ô_îí k£j¥²³Ç x± ç£k_ µd² k ¥²³ý ¦²Ý kæ ßk¥k k´ì_×Ö_dµL¥²³ ³² ÕÖEß πdµΨ¥â.µ π ¯$ β πΨ φ8 π β ª φΘª Θ ý :¥ T£ g ΨJ¥Xk´ ygß k ´ dm ãßkT²³T® Ý²³ β ¯ φ ± k´ Θ ® [ nC 8 g h g µ² j ßÔ j£ ª h å" g j Ô¦ ßkj ¥k Ã Θ h µd² í X yª Ψ β x yª φ ª Θ φ x yª β ª ª ª k´ ßkg Θ£jx¥k^j Jy βÓ"£jj dk µφd j h ¯ ¯ g ª ª ª «i´kTµd£kT ´J¥0 Òµ _ z²àPÝ zÕÔÿþ ¥³²³N ¯» £k Ô h Ý² X yª Ψ ©å³ ²¥å m T£kkµ ´ ní ´Ô dkT²³ °þ óm Û ´Ô_ kj£ ¥²³Ç à¤Ù k¥´k¥ èJµ£k d¯ ²ï>¥ä£ký k²³b jk2 ßÔdé Nk¥ Ô kJ²"²³ß)²ï ßkrÝT² Ô ´kb kj£ ²³Ç ãk²Ìµd²³kT´ q ã´ L ¥

k

1

n

θy i

i 1

φ

β

\^`

m 1

Xi θyi

Θ

m

m 1

1

m 1

m

m

m 1

m 1

m

m 1

v !G${` |^»y ùh$Iùh"

Ù ¤Jkβ²³ 2 ]´kπbTβk£jN²³>βßk²ÌBå"´ ± £k µd ã ²Ýßk¥²³β+ Ý²B:³¥²³§ß í d2 Õ± ¥8 ª ¤Ù¤± ßEdí ß B Ã ∞d k´ µ é µ`Ô²³ ßkßkT²Ì2Ö d ²¦_üPµxßkT²³ EdÝ×®Ø _ÔD vµ L«{£kT£β Ô ²³Öí ÔÝ²³ ¥Cå x²³´k Ï$£k_ ¤ßkT²³ «i2i . v_ _ àE¯ ¤µ²³k ´k±N¥²³ °´Ô_k£j¥²³²Ý ¥² k²³ ÚÝ² k ¥ä`µ k²³¥φµ ¯k¦ ¨Ô`µ d æµd² ßkj£ ¥²³ ¥ µ²³©å dÀ Ô1 d 3 φ 3 1 Ù¤ß d T£k>²Ýµ²³_d À ²191 Ù¤£kd¯z φ} 0 ª ´ ²8£k_ ¦ßk¥²³Â´kb kj£ ²³kxN ïT£kßkßç²³_ é² >¤Ù jµ _ 2 ± ²³_ _ : ²³b :´ dEß dkj´ ndm kµ HßkT² k d¯² ª²Ý£kb é db Tµ¥v:²N Ý L À 1 ª 1 N φ ª V ´k¥_Ô£j¥²³ ² T£k dTå i²Ý ´ ± Ô´>Ñ ¬d¯ ¯¯ £Ô ´ ² dTå À 1 ª 1 Ý²³Ø d 2¥ÔÝ d_ dkµ ä j£ ²Öµ²³_ d ´é´ ]¢.²³ £Ôkµ dI . 2 æß d ²³± ²ÍÝ xßÔ² k d¯ k £kTkä²³j£ qª ² µ²³µd²³ Ýdµ . ± ± ± k´k²Ì dTb kµ ä k²Ìª ²x å ´k ´k£ ¤²ãk²Öí £kÔ¥Ý²³ N 0 jæ Ý ²³ ßk ßk T² µ`0 ± ´k Ù¤ Ò ´kN² ßkßÔ² µ` 0E Ú²8µ²³©ådb2ßk²EFí[ _ ´ U² ± k¥ ´ ± ²³ :¥Ý J :CBPe Ý ¥£k_ k´ À ²>Ý J`µ kß§x Ý£kkLµ ¥²³ k´ GÓ k ¥ ´ _ Ô d± g ¥¯ ù¤Ù k{ ²³ £kÞ ¥´ kT Ý² µd²³¥²³´¬ ÝdÂà´ ¢0³£k_Ikj ²Yk¥ ± Ýdv´ ¢¥ ³£kªk§ ¤Â µd # µd²³kT´ Ô ²³£Ô¬ i²Ý6¥ÔÝ²³ ²³¥®²_ Ð µd²³¥ ßÔÔ Õ ¤Ý ¥£k ²Ö´ i¥ ² õ û

Ô³Þ #k¥Ç ± kÂµ²³°¯j2¥£k_ k²Ì ²³ý ´Ô 6´ µ ÚE ´£kTk d å k ²Ö´ _£k´k´8^Ô¦ Â£Ô{T £k ´ì´ ²Ò Â£kN µ ãµ² ß ´ìN #j£ ²"´ dg ¨

w ,!0"+$""+$,!- ø ,{

± ¢¥bá¯æ8 µ²³k¥´d JÝ²³G k ² ²³ d²£k2µ 8 N ÖT£kbìß ´dßEdk´jdkµ ²k z`µ kßk kj£ 2k²¤ TFí)µ æå ¥²³:ª. Ç± 0Ù¤ d°¯" 0¥£kbô ß 0. ³ ³ô ¥²³ ²Ö ´ é£k Tký é²Ì æ o í)²³ ´ dTk éß$² k² ¥ä. ¢³± £Ô kj Õ§ k ¯ û ¯ Ø C £k_ 8²#Ý jd >ß$²³ k² ¥{ ú £ÔÝ µ £ÔÔ Ò ú ³ ² Ô jdªr Ý ß´ L¢0³£k_kj ûjÙ¤km J £k d´ ²³T´k ä´ Ý²³ ´ n 8 707 £kT 8þ>Ðz¢ë φ 8 0 ² `µ kßÔ z¤Ù { d i´ {C d d´>ÝT² jv´ v¥´ N 0 ª 1 ä¤Ù jv²³T´k ´ d v² j U´ ± ³²£kßkÔI ¤´ K8 3 k´^ ãµ d²³φ d _ΘdÓ£kßÔ² k φ 0 θ ² Ôãµ ³²³d Ù k ªkj ¥å # JþHkÿ db d+²Ý Ô´ {¤Ù T£ éå £ 8 ¯ 8 À Ï 0431 k´ θ 8 Ï 0431 ,¤Ù ù_ k´ ì´ dT²³TÙ k kj ² j j d´£kTk ß à L2¥ µUç²"95% ²Cb ß M 8 1000 ç²Ö ²_ ß9 £k ²k Ù¤2! Ô T²ï ³¥åCd ß1k9ßk6T²ÌÖ µd ²³Öâ.´ dÔµ dTå ¥ ´¨²³ïk² ßkßkT²ÌÖ ²³ d_ Þ ð Ï _ Ç´ )dT²³ : d¥ ^ç²Ö² _ ß Eß dTµ d µ²³Ôâ.j´ dko µ H¥¬ d^å Ô µ _¯ç²CLäφˆ²Ý µ²³ÔΘâ.ˆ ´jdý kµx Tå _®Ó£kiµ²³_C6¢¥³£k _Ðk§ _± k²Ì± j$²"²C _ ß ´kb kj£ ²³Â²Ý k´ ý æ µ { %jÒ´k¥_ T k §£ ²k Ý T µ T²³£kk´ db d´éå £ zµ ¥²ã£k ¦j ç²"C² b ª ´>Tµ` CæÙ¤Ô³¥åCd¦_ 2 d´^k äÝ²³ φˆ ß ² 0 Ïd0_ 01 k´ìqÝ²³ ¦Θkˆ ¥À 0Ï 0i07þH.kÿ´ í 0 Ï 009 ± ý Þ à ¤_ dEß d ´ ã φ 5 ¥Ý² kC² jd £k d´¦ Ý ßH¥>¢0³£k_ kjlkj k¥xµ _¯Õ{å ¥£{²Ý 8 Ï ¯°²Ód_J¥+µd²k¥´d kvß 0´dßEdÔ´dkµCé Ù¤k¥xµ T² déÝ² Ò Ý d 2 ß¤¦ k`µ ¹E¹ »¼ ·¸Y± ¹P¼&¼á¹$¼ Ä θ^1

θ^2

Þ

úÒ ² Ôâk ´ {kµ {Tå o ¡ ô C õ ³ õ à o ô Ú«ißkß'T²©¨B£¥ª¤£² ØÒ²"²C¤¡_§¤ßrÑ*«µ« §£¦ φ ÿ¢¡_¤£¦¥ Õd§ kÚ´rÿ¢¤² Ûz²¤¥ ¯j k ¯¯j ¯¯ o ô j Ì õ ¯j ¯§ ¯C¯ ¯j ¯Ô ¯¯§ û θ í]¯j o§û Ào ¯©í×¯j C û ô

ª ô ×í ¯§ ¯§Ê¯ ¯ í]¯j û ¯"í]¯j û θ ¯jÊk ¯ ¯§Ê¯ û ¯§ û kÔ¯¯j ¯ ¯j ¯j¯j ¯ ¶°±%²Y¸ ð@¾ ³Íµ¶·°P¸Ø°P¹*º ¸L¼ °P¹¥º¥°kº²ÝÂÕÖÿþ Ì ô k´9Ø {¡)£ 5¥GLk²"´'¡éÝ²ª7 ® Ý{¤¥ßº£¦ · ¢°£³± £Vk§ xµd² '¡¤£¥´{+®´àÝ{)¥ª ß ý k´¤¯2m684e)D

Ó φ

G

ë+ì å

φ "Ni

Ò

ï

Ö

Ω

c

Ö

L "%+"¥¤

Û

Û

L

å

#&

"%

â φ

πΛ wΛ Y wS &

_

poqro©¨

ç

ì

Å

ÃÂ

Å*Ï

Ä#"%Ä

Æ

"

ÓÒ

#"NÇjÑ

}O~3

|

i

8Ú

È) ÄX"

Â

Í

1ï

LM

+&)!±ÊÇ

Æ

î

"%

Í

Å

"

"%

ñ

S

Å

ÇÊiÄXÇj

Í

"

Æ

Û-&

"%±Çj

Í

+"%ÇjÎÇÊO+"V "

NÆÔÖÕÇ"%1

NÇ8.ÖÝ

Ý

"

Æ

L

"N

Ë Æ

"V#±ÄÇj

Æk"N#"NÇj)

"V#"NÇj)mÆ

"%

Í

φ

Ë

π

Í

"

πi i

+"%Çj _

+ !

1#"%

9

ï

Sa

Ïj "%

OÆ

+"%Çj

w¢y{n|}mº

Ë

Æ

+Í

g

"%

ÄC#"%ÇQ.$"%N

#!

"N+"%Çj

Æ

È Ä"

] ^ ØÅ

+

Ω π x 5ð 0

"N

+ÖÏj Ç

ï

ï

x

Ë

Ê Æ

πi i

+"%Çjk

L

ï

!%

#&k"%B+Â

Ç

BK.µÇMÄÇjkÆ î

"N+"%Çj)!

X

+XL

BÜÛ-&

'

:8ã¥WäOåmà92çæ-è>é®é9êkëKG8ìIí

ã¹Ô

t³uK´µ|¯¶¸·p¹

ur

ÌÄÇjkÆ

#&

ÇlÐ "NÆ

Ò Ô

1Ë

.$&

"%!

Ö

S Á

Æ

"%

Ó

^¦

+Â

Ô×

W!+

Ø VÕ âÔ ÛîÜ©ÝÝ ß ç π

"N

Í

!+"

ïð

Λ

ur¯±°~²y{|}u

%Æ"%±ÇÊ7

Çj

Þ=ß>à®á8ß>â

ã × ÑU× Ô "

§

åÔÕ Ò

Λ

-

i¼

Å[ØlÙÙ

+"%Çj

g× §IÍkË Í

Ò

"

Ç

"N

n§

°±¬«½¾~U}9¿Àyu

LÉÈ

X

π»

φ

#&

m

× ×

ÑNOÇ#&

"%

&

ur

"NÐ

Æ

}O~3

N

ª«|}Orxw>k¬®x}*

u

×

"N a

ã ÔBÔå°Ô å;×«Ô

&

æ

i

πV V

1

Ð

ïð

φ

×{Ô

"%

φ

ZΛ w expUΛ wΛ wS

Λ Z

9 V#B%ÇÜÄ

× §Ö Í

ÊÇ

Æò"%

Ù

]

Å9ØlÙjóó Ú

+Ï Ç

"%"

Ç

Í B

ÇB"%

Æ

Ä

xÕÇ"%1

ôöõ÷õ÷ø²ù

úüûOý

þ

ÿ

! "$#&% '( )* +( , -+*. /

þ

ù

Ãÿ

ù

0

Í

ÄÇ

"%1 9

kÇ

ÊÇ

+

Ä"

1M+ÇÊ7K.µ

Ï &

"

&

¶

Æ

3>

Í

>

ÆÑÇj

"

ÇÊÖ"%1

!%

Æ

Í

"

L

"%Çj

ÇÊrÐ L

Â

Æ

Ç!¤ %"N,

x"%

IÂ

Ç>Ç>Æ

-

Ï "

&

#"

"

&

Ç Ç>Æ¾.$&

!+"%Çj

Ù b

Û-&

ï

"¥¤

%"P

Æ

Å

Çl.

Í

Ð

Ð

Æ

È N+Ö"%

+Ä

"%

Â

#!#"NÇj

+&

('

K.rÇ

Â9Çj

Æ

Ë 1#"P!%

9

"

i"NI Íkµ+

ÆÃ"NÇ

LM ¤KÆk"

"N+& Í

"%Çj)!5"N

Ð

Ç L

1ÃÊÇ

! L

Ïj

Ä

Í

!

Ç

"N+$ÄÇ

!

¤KÆk" Í

P

ÄX"

L

Ï

LM

¸

Ç>Ç ÆM

ÇjÂ

Ä

+"%Ä

C#"%Ç¸"%

+Í

"NÄ&

Ë

"PC

+L

+

N &

'4

ÄÇj1

"NÊ" Â

Í

Í ÅO

Í V#"VÐ

"N±Â

+ &

ÊÇ

N

Ç

"N+&

Ç

Ç

Çjk

L

L

L

ÄX" Ç

Ì Ï

"V#&

¦b8Ú

ËjÅmØlÙ

!+"%Çj¡ÇÊ

Ç>Æ

#&

1ÎÇÊRÄXÇ

X

+"V

Û-&

N"%&

Ä

Ç

Ç

RÍ

"%%ÇÑ

¥¤

L +

L

M

Í Ð!

Í

+

35

L

14

L

!

z×

Ã ÊÇ

Ï

Û-&

Î+&

Ç

!ÄÄ

Ï

!=

!#"NÇj

!+"%Çj

Í

"%#ÖÇÊ±ÊÇ XÍ

"P Í

Ð!

Í

3ÇÊ

|[)¿x

L

"N1

L !+"%Çj

"N#& Í

N

Â Í

ÊÇ

Ä#"NÄ)#ÇÄÇ

ÊÇ

L

Â

Ç

Ï

rÄ

9

!Åg

ÄÇj

c

Â+Ç¸

Â

+Í

LM

#& #&

+Çj

Í

XÏj "NÄk"%1

@?

Â

XÏj

Ï

Í

Í

Æ"Nç%"%

Ë

Ç

+"N

ÄXÇj1

Çj% +

GF IH

"V#"P!%

B

Ç

¶

Ä%Ç

E

× §Ö

T ñ

Æ

+

C "%1

"%1

n

N

ÂmÇj+"

10 ï ð

Í

Í

î

+L "NÊÇ

Í +"%Çj

%ÇQÂ

"N

"N

"

L

#Ç

"%

Í

ÄÇ

Â

Ð!

#&

Æ

Ï

ÇÊ#&

+

Í

Å

N

Ë

"N1

m"%

ÄÇ

L

Ê

%±Ð!

ÇjÂmÇ

"%ÜÐ

L &QÆ

Ï

#"NÇj)

kÆ¡%Çl.

"

XË

!

Ï ÇÊ3&

Å

0

Ç

#!#"NÇj`#"

>"%1 Â

L

Â

XÏj

Ç

Ç±Ç!Êg#&

n.g

Í

+L

Í

L

Ð

ÄXÇj1

"%N"N#"

L

"%!

Ç

XË

&)Ð

Â

N+"NÐ!

Ë

Ç>Æ£ÊÇ

ÊÇ

3LÍ !+"%ÇjÖÊÇ Ì

R

Æ

+"%Çj

ÇÊ

Åç

"

+"NÇj)

Í

NÇj

M"VÎ"%Ü+"%N

Ç Æ LL

m

^] φ

¡V

#"NÇj

u

Ï

)!

L !ÆÇÊI+

%"N

lÐ!

"NÐ!

#

, Æ¢Æ

"N¤

Î ] SjS

Æ Ø Ú

ï

Æ)

ÆÆ

µ Å

ÇjÌÇÊr#&

Æ)

Ç+Ä&

Æ

Ç

Å

Æ¸Ç#&

YX

+L

"P!

L ïI

î ×

Ë

ÇjVI%"

!

"N

kÍ

Å

"

#"NÇj

7 8

L

"N+&

ÊÇ

Ï Â

uÀt³uvIvxww ~

φ

Ç

Ç

Çj!

Ë !%

"

7 8 *9

"

kÍ

"N

Ê

ÇÊk#&

Í

Å

Ð

rL

N"%

L¯Í

T

+"NÄ

Ï Â

Âk%"%

101 000

L

U

C#Ç

Æ¸!n#&

# Ï

[ÊÇ

+

mXIÏj

Â

"

*2

N

Ð!"NP

ÍkL

Ç

L

L

¯{

Å

Æ

#

Í

î L

Æ

"

Ë

§

Í

+

!

+ ïÖ

$

±¬)|²µw ~

Ä

/Z

V W H

L

+"NÄ

N 0 1

5

Æ

#&

í

ÄX

XL

Ç

1 §

M

; Æ

ÄX"

L

ÆÖÊ

R

Í B"% î

+ #"%Ç

"

+"P

Í

Í

"N

µ

o sgoq

'4 "

[X Ï

Æ

%ÇÜÐ!"%P

ÇlÐ "NÆ

Í

Æ

\

N["NÊ+&

Í Ð!

Æ¸

g

!%

N" §

Ç

µ

ÄX

.

Í

!

m

lÐ

Ç

Ç>Æ

+

¶

#&

ïIkÆ

+

LML

"%

L

Ë

+

V W

+"%Çj

" §

0

Í

+ÇÊ7K.µ

U 0 1

Í

"

!µ&

±

#&

"N

ÇÖÇÊç#&

Ð

ù

ñ

"%

Ê

R#Ç Í

#&)C

#&

&1+r#&

Æ¸ÇÊ-#&k"%

B

OP /)Q RSBT(

þ

Æ

L

ÇÊ

Ð

Ä

+Ç

NM

Æ

"N#&

NÇjÂ

"N

Å

Çl.

XÅ

!=

XË

+

¿x

L

Ð

"V#&

µÊ"

"%!

"

Ë

N#"VÐ!

C#"%Ç)U+Â

Ï

gÇ!Ê[.

ÊÇ

Ç

L

Ç

mÐ! î

Í

XÏj

Ï

Û-&

XÏj

#&

Ï

B

Í

Í Â

"%

+L

Â

|[

ÆÎÎ

!%+ÇòÆ

"N+&

L !+"%ÇjÇÊ

Çj

Ü Ç

Ç

L ÄXÇ

Í Ð!

Û-&

Ç!Ê[Ð! P

L

U ÊÇ

LmX

"

L "V#&

Ík+

ÇÊ*#&

-=L;

NÇjÂ

Í

Ç

!

+ÏjÍ

~Uwk|

Ð

TR ñ

1

Ç

¶

Æ

"N$

0

#Ç

ÅOØÙjÙ ]Ú

#&

Æ

Ï

; JK; J

oq±o ¨

Ä

V

Ð

Í

Å

Ë

m

Ï 1r

Í

#"%Ç) +Çn+&

Æ Í

+"%

ÇjÂ9Ç

!=

|[)¿x

Ä"

Ò Í

Â

Ë O

"%

Ç

§ Æ¸Çj

Ë

-

Æ

'4

L

%ÇjÂ

C;

I¬)~3)x¬)|w

Ð

%

L

Æ

ç"%1 #&

x~

Ïj

Ç

u ~ç

XÅOØlÙjÙ S Ú

+

+L

BA (=

~çxwkw

Ê

Ç

L

Ï #"%

Ç

+&

Ù

¯{

Ç

"N "

Ï

+&

|¬

X

X ÄÇj

µ "%)!

Æk"N#"NÇj)rÂmÇ Â

Å "%Ç

.

"NÇ

L +

Æ

Â

"N¤

Ê

L Ç

V _ _ `W >

Be α1 α2 L

+

1

LM

Ç

Ä

Æ¸CÖÂ

1+

È

Â

ËjÅ

ÄX"

Í

Ík

Ð "NÇ

IÐ!

α1

_

1Ë

α2

kÆ

L

Ï !+Ä&

"%

#&

4 Z

α1 α2 α2 2 α1 α2

V α a W V a a 1W

Å

Û-&

_ _

+"%Ä%

π V φ xb d W Be V α_ α_ 1 1W m

Y

1

2

e

∝

Ï

Í

ÆQ

$

Ç Ç>Æ

Â

Çl.

XÅ

L

Ð

i 1

ÇjÂ9Ç

Ë

Â

i

Ï

λ1 # + # λn Ø BT

"V#&

"%$Ð!"%% Í Â

¾Ïj

ÊÇ

+&

L Ç

Â

Ë

ÇjÂ9Ç

+"%Çj)!%"N

n

i

α2 α2

kÇ

1 m x n ni i

m 2

1 φ 2 i∑ 1

2 i

L

"NÐ

bd

1BÇÊ

bd m

∑ xj

j Ni σ2i

km hl h

Â

ÄÇj

Í

+ÇMÄXÇ

Â

ÖL

'

#&

L

Í

L

"

È kÆ

Æ`#&

L

Ç

Æ`ÊÇ

ÄÇjk!

«

i 1

'

#!#"NÇj)N

Ë #"%Ç)%"V

i

2 i

Í

"N-"NgÄÇ

Ç

1 2

1

2

d V xb W 1 φ λ 1 ∏ σ f exp hg 2 ∑ σ a V 1 a φW c n V 1 φW hj c n n

1

1

Í

Â

α1 α1

m 1

V

ËÜÈ

ÆW+ÇM)

b c da

φm

m 1

m 1

Z

Ë

"N-&)

2

Z

α2

V φ b c d a 1W e 1 φ b c d a 1 f V 2 V φb c d a 1W V 1 φb c d W α_ m 1

α1

Â

_

Ïj Ä!

1

]

¢

Ä%

V

\

φ

ÇÊ

RÄ

9

Ä

.

"N

Å

Í

+

L

Ï

"N

ÇÊ

Ý

V

1

_

m 1

α1

_

α2

α1 α2 α2 2 α1 α2

V α a W V e a a 1W V φ b c d a 1W 1 φ b c d a 1 f V 2 V φ b c d a 1WV 1 φ b c d W α_

4 Z

2

m 1

Z

m 1

Z

m 1

V

Ù

1

b c da

φm

1

2

1

Ïj "

Ík 1Ð!

] BT L

Í

Ç

Â

e

m

d V xb W 1 φ λ 1 c sup o o qprq ∏ σ f exp hg 2 ∑ σ a hj c c n n u V 1 a φW V 1 φW Z

n

1 φ 1

G> G>

L

Â

φ

i 1

BT L

Í

Ç

i 1

d xb W V 1 φ λ 1 h exp g a ∏ σ f 2∑ σ h c n V 1 a φW V 1 φW j c n n

Z

i

L

>

t

Z

Â

Í

i 1

Çjò+&

L

ÂmÇj+"

Â

Í Ð!

xxl Z

L

Ç

$.

∑ V xib Ï

ÇÌ.$"%Ni+"

dW

"

1BÄ!

Æ

"

Ë "%

Æ

L ÄÇ

Í Â

m

d

i S ni l L

ts

j

m

Æ%!

1rÐ!

Ï Ç!#"%ÄX"%

"P

X

+

Å>kÍ

+&)!$#&

!

Ë Ç

Æ

ÎÊ

.

d

1ÌÇÊg+&

ÆòXÝ

Ù

l

Z

V W

1 # # # max ni i S

i

Í Ç

í

Ê!

∑ xib ∑ x b j

Ä

Ë

C

Ï

1 l

Í

' "

#"N

Z

Æ

!

"N$"%gÊ!"

Â

ËÑ

L &

Í

xcxl

"

Å

ÆWÄXÇ

Ï

gÇ.

L

Ä1+

9Ö ÄÇj

m 2

Æ

Å

È

Í

&)Ð

ni

-ÇÊ

Â

?

Â¢Ê

Æ

i S ni l Í

"N+&

h

α2 α2

Â

"Nr!

Ì'

i

2 i

Ï Æ`ÇÊ*#&

j

bk

X Â

1 φ 2 i∑ 1

2 i

m j

U 0 1

Ç

ÇÜ+ÇM

φ

i

b d t∑s xb d σ km hl

1 m x n ni i

m 2

V W

L

Ê

Ï

x m ð

t

n

2 i

α1 α1

i

1 2

i 1

ó

h

α2 α2

x

Ê

i

2 i

Â

¦

j

Be α1 α2

Ç

e G> v]

1 φ 2 i∑ 1

2 i

m j

φZ φ 2 1

k

i

b d t∑s xb d σ km hl

1 m x n ni i

m 2

V _ _W

L

Ê

i

n

2 i

α1 α1

bk

i

1 2

L ÄXÇ

Í Â

C#"%Ç

I+"N

Ä

Â

ÇjÂ9Ç

Ë #"%Ç)%"V

e

1 φ λi ∏ σ2i i 1 n

f

1 2

exp

i gh hj

1 2

w bd

max ni i S

∑

l 1

xxl

a

φ xcxl

1

Ù

φ2 l

¦

hmk l V 1 a φW c n V 1 φW c n h α1 α1

α2 α2

ôöõ÷õ÷ø²ù

ú

ûOý

ÿ

x zy { | R( } ?

~2

lÐ!

Û-&

Ë

N"

L

N"

Å

Ø Ú

ï$%"

ÄN

ÆÔÊ

L

"

Ç

X

Ç>Ä

#"N

ÃÊ

/]

ÇN

%+RÄÇ

,

Ç

#"%Æ

#!#"NÇjÃ"N$lÐ!"NP

Ö"NIÄÂ)

L

Ê

Ç

&1#Â[Ý

NÐ>ÂmÇ>Æ

Ç!ÊµÂ

Ç Æ

C.-.-.

Í

Æ

"%

>

Ë>Ë #

L ÄXÇ

Ä&

ËË Í

,

2

#

Ø Ú

!#"%*"N#& ÄNÄ

L

L !"%

%!#"NÇj

%

ø

µ

L

'

%Çl.²"%

ÏjÍk+ÜØ Ø

Í

!%

L

Â

L ÇÊU"

LM Âk

1#!#"NÇj`ÇÊi+&

N"

Ë

\

X !Ê

Æ)C&

Çl.$Ñ"%

N It: ¢¡ N £t¤NY¥¦ @¡ N §©t¨ ¤¨-ª¦ª¢¡ "

x y

ÿ

"%

Æ

©©«Y¬¨©&©®©¯Y¨t°±¬² ©«I©³'¨tY©¤¥´¨'®¶µª§¨t¤¨:£©¨®·£¸t©Y'®· ¹º»¨t©·I¼² ½® ¹¾ºK¿ÁÀ ² Â-ÃQÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-Ã&ÅÆÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃQÂ-ÃQÂÄÃÈÇÄÃQÂÄÃÂ-ÃQÂÄÃQÂ-Ã Ùjó

#Õ+lÐ!

L

ÄXÇ

Í

ÇIÇÊ±#& Õ+ÐM-.

ïÃkÆ Â

] SjS

"%

#!#"NÇj +

Æ

C.-.-.

Ï`L Ä"N

Í ,

Å

,

Í

Â

&1++Â[Ý

L ÄÇ

"%Ä

L Ç

Çj+Ä&

+

5Æ

ÆxÊ

ËË Í

ÇlÐ Í

Æ

î × T

L

Ík+

Ç Ä

Ç L

+&

3Â

ÆkÇ8.$k%Ç1Æ

Í

Æn

m

IT

ÍkL %[Æ

0

] SjS

Ä

Í Ç

Ø Ú ïIÊÇ

C#"%ÇÖ

] SjS

ËËÅ #

Ë

%"

òÇj«#&

ÄP!+I#Ç ®Í

Æ

Í

L

k

Û-&

Æ

#"

ÇlÐ

Â

9

0

Æ

Æ

"%Ä,N"%

C

#&

+

Ë

î ×

+%ÇÊ

D

î ×

¸Ä r

"N+Ä

+

&)

XL Â Í

Û-&

mX

"

O"N[.µÆ

Ë

%"

Â-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃQÇÉÃQÂ-ÃQÂ-ÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃQÂ-ÃQÂÄÃÈÇÄÃÈÇÉÃÅÆÃQÂÄÃQÂ-Ã Â-ÃÈÇÄÃ&ÅÊÃQÂ-ÃQÂÄÃÈÇÄÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃÈÇÄÃ&ÅÆÃÈÇÉÃÈÇÄÃQÂÄÃÅÆÃ&ÅÊÃQÂ-Ã ÅÆÃÈÇÄÃÈÇÉÃÈÇÄÃÈÇÉÃÈÇÄÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-Ã&ÅÊÃÈÇÄÃQÂ-Ã&ÅÊÃQÂ-ÃÈÇÉÃQÇÄÃÈÇÉÃQÂ-Ã ÇÄÃÈÇÄÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃ&ÅÆÃÈÇÉÃÈÇÄÃQÂ-ÃÈÇÉÃÈÇÄÃÈÇÉÃQÇÄÃQÂÄÃÈÇÄÃ ÇÄÃ&ÅÆÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃÈÇÉÃÈÇÄÃQÂÄÃ&ÅÆÃQÂ-ÃÈÇÉÃÈÇÄÃQÂÄÃQÇÄÃÈÇÉÃÈÇÄÃ ÇÄÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃÈÇÄÃ&ÅÊÃQÂ-Ã&ÅÊÃÈÇÄÃÈÇÄÃÈÇÉÃQÂ-Ã&ÅÊÃÂ-ÃÈÇÉÃQÂ-Ã ÅÆÃÈÇÄÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃÈÇÉÃQÂ-ÃÈÇÉÃQÂ-ÃÈÇÄÃÈÇÉÃ&ÅÆÃQÂÄÃQÇÄÃ&ÅÊÃÈÇÄÃ ÇÄÃ&ÅÆÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃÈÇÉÃÈÇÄÃQÂ-ÃÈÇÉÃQÂ-ÃÈÇÉÃQÇÄÃQÂÄÃÈÇÄÃ Â-ÃÈÇÄÃÈÇÉÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃÈÇÄÃÈÇÄÃ&ÅÊÃ&ÅÆÃÈÇÉÃQÇÄÃ&ÅÊÃ&ÅÆÃ ÇÄÃÈÇÄÃÈÇÉÃÈÇÄÃQÂÄÃ&ÅÆÃQÇÉÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃÈÇÄÃQÂ-ÃQÂÄÃÈÇÄÃ&ÅÊÃQÇÄÃQÂÄÃQÂ-Ã ÇÄÃ&ÅÆÃÈÇÉÃ&ÅÆÃÈÇÉÃQÂ-ÃÂÄÃQÂ-ÃQÂ-Ã&ÅÊÃQÂ-ÃQÂÄÃÈÇÄÃQÂ-ÃÈÇÉÃÈÇÄÃ&ÅÊÃQÇÄÃÈÇÉÃ&ÅÆÃ Â-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃÂÄÃÈÇÄÃÈÇÄÃ&ÅÊÃQÂ-ÃQÂÄÃ&ÅÆÃQÂ-ÃQÂÄÃÈÇÄÃQÂÄÃQÇÄÃÈÇÉÃQÂ-Ã Â-ÃQÂ-ÃQÂÄÃQÂ-ÃÈÇÉÃ&ÅÆÃÂÄÃÈÇÄÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃÂ-ÃQÂÄÃQÂ-Ã Â-ÃQÂ-ÃQÂÄÃQÂ-Ã&ÅÊÃQÂ-ÃÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ-ÃQÂÄÃQÂ-ÃQÂ-ÃQÂÄÃQÂ

Ë¡ ½® ¹¾º¬Ì³À ² Í-ÃQÎÄÃQÏ-Ã&Å ÂÄÃÅ©ÅÊÃ&ÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã&Å ÓÄÃÔÄÃQÍ-ÃQÎÄÃQÏ-Ã&Å ÂÄÃÅ©ÅÊÃ&ÅÇÉÃÅ ÐÄÃ&Å'Ò:Ã&Å ÓÄÃ Å Ô-ÃÒ-ÃQÓÄÃQÔÄÃQÍ-ÃQÎÄÃQÏ-Ã&Å ÂÄÃ&Å©ÅÊÃÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã&Å ÓÄÃÅ'Ô-Ã&Å'Í-ÃÅ'Î-ÃQÐ-Ã Ò:ÃÈÓÄÃQÔÄÃQÍ-ÃQÎÄÃQÏ-ÃÅ'Â-Ã&Å©ÅÊÃ&ÅÇÉÃÅ ÐÄÃ&Å'Ò:ÃÑÅÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å'Î-ÃÅ'Ï-ÃQÐ-Ã Ò:ÃÈÓÄÃQÔÄÃQÍ-ÃQÎÄÃQÏ-ÃÅ'Â-Ã&Å©ÅÊÃ&ÅÇÉÃÅ ÐÄÃ&Å'Ò:ÃÑÅÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å'Î-ÃÅ'Ï-ÃÈÇÄÃ Ð-ÃÒ:ÃÈÓÉÃQÔ-ÃQÍÄÃQÎ-ÃÏÄÃ&Å Â-Ã&ÅÅÆÃÅ ÇÄÃ&Å'Ð-Ã&Å'Ò-ÃÅÓÉÃ&Å ÔÄÃÅ ÍÄÃ&Å Î-ÃÑÅ Ï-Ã ÇÂ-ÃÈÇÉÃÐ-ÃÒ-ÃÈÓÄÃQÔÄÃQÍ-ÃQÎ-ÃQÏÄÃ&Å ÂÄÃÅ©ÅÊÃ&ÅÇÄÃÑÅ Ð-Ã&Å½Ò:Ã&Å ÓÄÃÅ'Ô-Ã&Å ÍÄÃ Å Î-Ã&Å'Ï-ÃQÇÂ-Ã&ÅÊÃÈÇÄÃÐÄÃÒ:ÃÈÓÄÃQÔÄÃQÍ-ÃQÎÄÃQÏ-Ã&Å ÂÄÃÅ©ÅÊÃ&ÅÇÉÃÅ ÐÄÃ&Å'Ò:Ã&Å ÓÄÃ Å Ô-Ã&Å'Í-ÃÅ'Î-Ã&Å'Ï-ÃQÇÂ-ÃÈÇIÅÊÃÅÆÃÈÇÉÃQÐ-ÃÒ-ÃÈÓÄÃQÔ-ÃQÍÄÃQÎ-ÃQÏÄÃÅ ÂÄÃ&Å©ÅÆÃ&Å ÇÄÃ Å Ð-Ã&Å½Ò:ÃÅ ÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å ÎÄÃÅ ÏÄÃÈÇÂÄÃQÇIÅÊÃ&ÅÆÃÈÇÄÃQÐÄÃÒ:ÃÈÓÉÃÔ-ÃQÍÄÃQÎ-Ã Ï-Ã&Å ÂÄÃÅ©ÅÊÃ&ÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã&Å ÓÄÃÅ'Ô-Ã&Å'Í-ÃÅ'Î-Ã&Å ÏÄÃQÇÂÄÃÈÇIÅÊÃÅÆÃÈÇÉÃQÐ-Ã Ò:ÃÈÓÄÃQÔÄÃQÍ-ÃQÎÄÃQÏ-ÃÅ'Â-Ã&Å©ÅÊÃ&ÅÇÉÃÅ ÐÄÃ&Å'Ò:ÃÑÅÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å'Î-ÃÅ'Ï-ÃÈÇÂÄÃ ÇIÅÆÃÈÇÉÃÐ-ÃÒ-ÃÈÓÄÃQÔÄÃQÍ-ÃQÎ-ÃQÏÄÃ&Å ÂÄÃÅ©ÅÊÃ&ÅÇÄÃÑÅ Ð-Ã&Å½Ò:Ã&Å ÓÄÃÅ'Ô-Ã&Å ÍÄÃ Å Î-Ã&Å'Ï-ÃQÇÂ-ÃÈÇÉÃQÐ-Ã$Ò-ÃÈÓÄÃQÔ-ÃQÍÄÃQÎ-ÃQÏÄÃ&Å Â-ÃÑÅ©ÅÆÃ&Å ÇÄÃ&Å'Ð-ÃÅ½Ò:Ã&ÅÓÉÃ Å Ô-Ã&Å'Í-ÃÅ'Î-Ã&Å'Ï-ÃQÇÂ-ÃQÐ-ÃÒ-ÃÈÓÄÃÔÄÃQÍ-ÃQÎÄÃQÏ-Ã&Å ÂÄÃ&Å©ÅÊÃÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã ÅÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å'Î-ÃÅ'Ï-ÃQÐ-ÃÒ-ÃÈÓÄÃÔÄÃQÍ-ÃQÎÄÃQÏ-Ã&Å ÂÄÃ&Å©ÅÊÃÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã ÅÓÄÃ&Å'Ô-ÃÅ'Í-Ã&Å'Î-ÃÅ'Ï-ÃÒ:ÃÈÓÉÃQÔ-ÃÍÄÃQÎ-ÃQÏÄÃ&Å Â-Ã&ÅÅÆÃÅ ÇÄÃ&Å'Ð-ÃÅ½Ò:Ã&ÅÓÉÃ ÙjÙ

Ë

Å Ô-Ã&Å'Í-ÃÅ'Î-ÃQÔÄÃQÍ-ÃÎÄÃQÏ-Ã&Å ÂÄÃ&Å©ÅÊÃÅÇÉÃ&Å Ð-ÃÑÅ'Ò:Ã&Å ÓÄÃ&Å'Ô-ÃÍÄÃQÎ-ÃQÏ-Ã Å Â-Ã&ÅÅÆÃÅ ÇÄÃ&Å'Ð-ÃÅ½Ò:Ã&ÅÓ

Ë¡ ½® ¹¾ºKÁÀ ² ÅÆÃ&ÅÊÃ&ÅÆÃ&ÅÆÃ&ÅÊÃ&ÅÆÃ&ÅÊÃ&ÅÆÃÅÊÃÈÇÄÃÈÇÄÃÈÇÉÃÈÇÄÃÈÇÉÃÈÇÄÃÈÇÄÃÈÇÉÃÈÇÄÃÈÇÉÃQÇÄÃQÐÄÃQÐ-Ã Ð-ÃQÐ-ÃQÐÄÃQÐ-ÃQÐÄÃQÐ-ÃÐÄÃQÐ-ÃQÐ-ÃQÐÄÃQÐ-ÃQÐÄÃQÐ-ÃÒ:ÃÒ-ÃÒ:ÃÒ-Ã$Ò:ÃÒ-ÃÒ:Ã Ò:ÃÒ:ÃÒ-ÃÒ:ÃÒ-ÃÒ:Ã$Ò-ÃÒ:ÃÒ:ÃÒ-ÃÈÓÄÃÈÓÉÃÈÓÄÃÈÓÄÃÈÓÉÃÈÓÄÃÈÓÉÃQÓÄÃÈÓÉÃÈÓÄÃ ÓÄÃÈÓÄÃÈÓÉÃÈÓÄÃÈÓÉÃÈÓÄÃQÓÉÃQÔ-ÃQÔ-ÃQÔÄÃQÔ-ÃQÔÄÃQÔ-ÃQÔ-ÃQÔÄÃQÔ-ÃQÔÄÃÔ-ÃQÔÄÃQÔ-Ã Ô-ÃQÔ-ÃQÔÄÃQÔ-ÃQÔÄÃQÔ-ÃÍÄÃQÍ-ÃQÍ-ÃQÍÄÃQÍ-ÃQÍÄÃQÍ-ÃQÍ-ÃQÍÄÃQÍ-ÃQÍÄÃÍ-ÃQÍÄÃQÍ-Ã Í-ÃQÍ-ÃQÍÄÃQÍ-ÃQÍÄÃQÎ-ÃÎÄÃQÎ-ÃQÎ-ÃQÎÄÃQÎ-ÃQÎÄÃQÎ-ÃQÎ-ÃQÎÄÃQÎ-ÃQÎÄÃÎ-ÃQÎÄÃQÎ-Ã Î-ÃQÎ-ÃQÎÄÃQÎ-ÃQÎÄÃQÎ-ÃÏÄÃQÏ-ÃQÏ-ÃQÏÄÃQÏ-ÃQÏÄÃQÏ-ÃQÏ-ÃQÏÄÃQÏ-ÃQÏÄÃÏ-ÃQÏÄÃQÏ-Ã Ï-ÃQÏ-ÃQÏÄÃQÏ-ÃQÏÄÃQÏ-ÃÏÄÃ&Å Â-Ã&Å'Â-ÃÅ'Â-Ã&Å'Â-Ã&Å ÂÄÃÅ ÂÄÃ&Å ÂÄÃÅ ÂÄÃ&Å Â-ÃÑÅ Â-Ã Å Â-Ã&Å'Â-ÃÅ'Â-Ã&Å'Â-ÃÅ'Â-Ã&Å ÂÄÃÅ ÂÄÃ&Å ÂÄÃÅ ÂÄÃ&Å Â-ÃÑÅ Â-Ã&ÅÅÆÃ&ÅÅÆÃÅÅÆÃ&Å©ÅÊÃ Å©ÅÆÃ&ÅÅÆÃÅÅÆÃ&ÅÅÆÃÅÅÆÃ&Å©ÅÊÃÅ©ÅÊÃ&Å©ÅÊÃÅ©ÅÊÃ&Å©ÅÆÃÑÅ©ÅÆÃ&ÅÅÆÃ&ÅÅÆÃÅÅÆÃ&Å©ÅÊÃ Å©ÅÆÃ&ÅÅÆÃÅ ÇÄÃ&Å ÇÄÃÅ ÇÄÃ&ÅÇÉÃÅÇÉÃ&ÅÇÉÃÅÇÉÃ&ÅÇÄÃÑÅÇÄÃ&Å ÇÄÃ&Å ÇÄÃÅ ÇÄÃ&ÅÇÉÃ ÅÇÄÃ&Å ÇÄÃÅ ÇÄÃ&Å ÇÄÃÅ ÇÄÃ&ÅÇÉÃÅ ÐÄÃ&Å ÐÄÃÅ ÐÄÃ&Å Ð-ÃÑÅ Ð-Ã&Å'Ð-Ã&Å'Ð-ÃÅ'Ð-Ã&Å ÐÄÃ Å Ð-Ã&Å'Ð-ÃÅ'Ð-Ã&Å'Ð-ÃÅ'Ð-Ã&Å ÐÄÃÅ ÐÄÃ&Å ÐÄÃÅ ÐÄÃ&Å Ð-ÃÑÅ'Ò:Ã&Å½Ò:Ã&Å½Ò:ÃÅ½Ò:Ã&Å'Ò-Ã Å'Ò:Ã&Å½Ò:ÃÅ½Ò:Ã&Å½Ò:ÃÅ½Ò:Ã&Å'Ò-ÃÅ'Ò-Ã&Å'Ò-ÃÅ'Ò-Ã&Å'Ò:ÃÑÅ'Ò:Ã&Å½Ò:Ã&Å ÓÄÃÅ ÓÄÃ&ÅÓÉÃ ÅÓÄÃ&Å ÓÄÃÅ ÓÄÃ&Å ÓÄÃÅ ÓÄÃ&ÅÓÉÃÅÓÉÃ&ÅÓÉÃÅÓÉÃ&ÅÓÄÃÑÅÓÄÃ&Å ÓÄÃ&Å ÓÄÃÅ ÓÄÃ&Å ÔÄÃ Å Ô-Ã&Å'Ô-ÃÅ'Ô-Ã&Å'Ô-ÃÅ'Ô-Ã&Å ÔÄÃÅ ÔÄÃ&Å ÔÄÃÅ ÔÄÃ&Å Ô-ÃÑÅ Ô-Ã&Å'Ô-Ã&Å'Ô-ÃÅ'Ô-Ã&Å ÍÄÃ Å Í-Ã&Å'Í-ÃÅ'Í-Ã&Å'Í-ÃÅ'Í-Ã&Å ÍÄÃÅ ÍÄÃ&Å ÍÄÃÅ ÍÄÃ&Å Í-ÃÑÅ Î-Ã&Å'Î-Ã&Å'Î-ÃÅ'Î-Ã&Å ÎÄÃ Å Î-Ã&Å'Î-ÃÅ'Î-Ã&Å'Î Ë¡ Õ¥'®I¨©¸ I¨tY¨ÖÁÀS®±t×ØÕ¥Y½®I¨©¸Y¨tY¨©¢µ ¿:ÃÙÌ:Ã$¼Ú¡ ÖÛÜ®ÝÉµ½¼Æ¡ ¸'± `£ Y'®®:µÞª©ßIÀCÞà³Ö ©ß¼Ú¡ ¸'± `£ Y'®®:µÞáß±¨ÀCÞ¼Ú¡ â ¨ã¦I½® ®¦µäÖ ¾tßY±t¨¼Ú¡ Ë

Û-&

"N-ÄÇ>Æ

.$"%N*Â

Í Ç Æ

Ä

#&

Ï ÊÇ%%Çl.$"N

Í Ç

Í +Â

Ø SS

Ý

åæç¢èéêvëíìîÚèêÚìïIæð©æYéïÊñòÆìóé©ôéõ´ñöé´ðYð©æð÷øóé©ô´éúùñöéððYèñØûüêý´éþæï ÿ ò¢è é ò´æ

NM

Ñ/O / 2

ÿ

ø

Ð

î ×

:Z >2

!

Ë

+

Í

I

] SjS

Ø Ú

('

L

Âk

Ü

lÐ!

Ê

.÷Æ ËjÅ

gÇÊ*#Ç>Æ)

Ë

ÄXÇ8Ð!

"P!

LM

ÊÇ

+"N

3

Ë

Ä

ï

Å

V

9¾

!+"%ÇjÇÊ

%"

Å

ÏÎ H

+&

#

2¤ Æ

Ä%

Z >´2

Ê

Í

Âk

+

x.

Ä L

Ð!Ä!Ã L

ÇlÐ

Ý

öIèçïIéï !#"%$'&©é©ôé)( *&©éô, é +ê¢è "-( ñ "*324#2432432*324324#2432432*325624#243242432432%32 /.'0 ù´1

7

32*324324#2432432*324324#2432432*324324#2432432%32 7

32*324324#2432562*324324#2432562*324324#2432432%32 7

32*324324#2562432*324325825624329624324#2432432%32 7

32*324324#2432562*32432582432432*324324#2432432%32 7

32*324324#2432432*325624#2432432*324324#2432432%32 7

329624324#2432432*324324#2432432*325624#2432432%32 7

32*324324#2432432*324324#2432432*325624#2562432%32 7

32*325624#24324329624324#2432432*324324#2432432%32 7

32*324324#2562432*325624#2432562*324324#2432432%32 7

32*324324#2432432*324324#2432432*324324#2432432%32 7

32*324324#2432432*324324#2562562*32432582562432%32 7

32*32432582432432*324324#2432432*324324#2562432%32 7

32*325624#2562432*324324#2432562*324324#2432432%32 7

62*32432582432432*324324#2432432*32432582432432:62 7

32*324324#2432432*324324#2432432*325624#2432432%32 Ø S

Ø

Ç

"

%"

Ç Æ

!

+"NÇj)

Ë

ÄX#Ç

Ë L

N"

X [Z

"V¤

g"%M#Ç

Ì!RÐ

m NÆ

Ð!

LL

L

Í R&

Z >´2

Æ£+ÇQ!ÄÄÇ

Í N+"%Æ

"%Ä

Ï +"N

!

ÇµÂ)+

!

Í

Ç

#&kÇ Æ

k+"%Ç)

Æ)!#ÎB

> Ú Z» L

Ç

LM

Æk"N#"NÇj)

LM "

Æ

µ

NÇl.²"%

Å

7

32*324324#2432432*324324#2432432*324324#2562432%32 7

32*324324#2432432*324324)(

( U-:X ò´æ é ÿ ïÆèê ¾ê C R©ü C 3æ "'*&©é©ô´Ké " @ $ý 2:D5JIæ Y ò´æ éD>( ( U-:XZ Z n

Û-&

Í

+ N+$

"%Æ

1#"NÄ9#Ç

2 Ð

ÄXÇ Æ

Ø S b

þ¯û5þ

| #[T O û

Ø S

]\_^

ôöõ

| #[TO

þ¯û5þ

×

Å[ØlÙjó ÚÖ

Ïj+

Ïj

×

#" T

9

B! L

î ØlÙjó

Å

#"

[Å*ØlÙjÙ b!ÚÖ

Æ Ï

&

" Í

9

+Ï+

LM

ôöõ

2

T

kÆ

>

"

î ØÙjÙ b

m

[Å &

Ík

ñ

X

Â

× µ

N"%

ÇÊO

X

¦!Ú

ÏkÅOØlÙ #

#Ç

+"VÐ

r

Ë

2

XL

Å

î

~q#v-u)k9r kejk*wTiHx*dTe

PC+#"NÄ

X

× µ

x-idTb

X

]! Å

&

E

X

!#"%Ü X

×

ÇÊ

\

X

Æ

\

î ØlÙ

k

X

8Ú

Ë X

X

P!

Çj "%!#Çl.$+," B Ë L ' Ík+

Ç

A ±Ç .

,kï

Í>'

Â

Â

Ç

Ç

\

Æ

X

\

Æ

+

!Å

Æ

Æ

Æ

Ë

#&

!+"%#"%Äx!)

6)vu{dTuijh-uis

+"N$ÇÊi

Ç ¤K%!++"%Ä

Æ)!

î ØlÙ

Å

C

ÇjVÊ

ï

#&

Ä"

×

Í

L

"

Å

ÎÂ Ïj Å

b1 Ù

L

5

X

Ä&

"

Ç

Å

1

+&

L

"N+&

Ê

N

L

kÇ S

ó

"%%

Û-&

Ç

Ä&®ï î L

>

L

"N#&

L

Ï

Ç ÜL

ÊÇ

Ík

ydTu{d ¤ L

ï Ï

I> ï

]

î ØlÙó

Ð>"

L

2

ÇjV î +

£u{dTuijh-uiHxLh¤m:kplh¢'dTuidTe?rdTu{d

î ØÙjÙ b

niTR

Æ)

L "N#& ' Í

+&

5

N"%&

Ç>Ç Æ

Æ

Âk%"%Ä!#"NÇj Å H Çj %

Â

XL

"

¥ ±Ç .

n

XÅ

Ê

L

Â

Ç

"N

Å

L

ÄÇ

Â

ÇjV

H

Å

Æ

"

Å

í

Æ

Å

ñ

L

Æ)!#¾Ð>"P¾#&

Å k

X

"

í

ï

ÅOØlÙjÙ !Ú

ÇjNg

Â

Ë Â9Çj S

Å k

X "

Æ

î ØÙjó

k

Çj%%

2

Å ÇjV

L

+& ¤

"NÐ ÆÑÊ Ç ¦!b ó ] ]

Å

Æ

kÆ Ï

Ç

Æ

"N%"N#"NÄB b1¦b í

5 Æ 1

Å

Í 'mÅj§

Í 'mÅU§

Ç

T

"N+"%Çj

%"%,

"

Ä

Z

Í

1 | k}pWbdTeKkm¦us)v¦kf dTe6uHdTuijh-uiHx*dTe66kx-iHv-uf6v-pWiHvLh¡~3v-us)k9r kejk*wTiHx*dTe 35 ] 5 2 ] 1 t> > 1 ] §dTp%¨k©ªxL'dTisbkb)uv«tdTp-ejk¬isbª¢p4d x-uiHxLv

L

B

+&k"NÊ7#

Å*ØÙ ¦j¦CÚ

XB

'

Ä

Zp%kTLd9isegisufdTbrv*dh-}p%v96 isp4rqrTisuiHkbTC

Åñ

Ï

í

+"

Ð "N

XL ñ

Â

m

!

Æ

î ØÙjÙ

Ø S

"V#&

Å

+Ç Ä&)!#"NÄ ]j Ù Å Ï Â)

ÆkÇj

Ç

ï

Ï

5 X W

Å

"N L

î

b Ù

Ä

Ø

2

k ,¸Ý

î ØÙ

¦j¦

]j]

b1¦

Ý ] ] j

¤

ï ï

Ý

ñ

L Ý #& ]j¦bk*T

Ý

Ý

XËÅ

"

Ý

Çj "PC#Çl.$+," Ë

"%

Â

"%

+

µ

8ÚÌT

Å9ØlÙjó ÇjV

Ð "%

ï

X

î ØlÙjÙ

XËjÅ

"

§

Ä

ÆMÐ!

1 F?pLkx9?tdTo9p-irw vc isejkh916kx9

Â)

!ÅØÙjÙ b!ÚÌT +"

×

X

%"N#"NÄx ¡"Nt? kc¢}uHdTÄuiH& kbdT!e u{Ç dTu"Nij+h-& uiHxLh

XL

5

Ë

35

!Ã

!ÄX#"NÇj

!+"%+"%Ä[

+

Æ " acbdTÇegfÊ h-ijh" dTb rq-b:-m:kÇ!pWÊio dT uiH+xL"VhL#) 4* í

p-iHÇvLh Ê | k}pWbdTekmus)vkfTdTe#u{dTuijh-uiHx*dTe36kx-iHv-uf6v-"%Ã

Çj)m

Ï

,!ÇlÐ Ø 9Ø

Â)C#"P!R"%1

Å n

#&

"%N%"%

W

Äµ#Ç ÅOØØ

µ"NkÊ

Ý

&)C#"P Ï

Æ`Ç

Õ

ï

Å*ØlÙó Ú

v>

¦j

"%

Ð

×cT

+

Æ

ËjÅ®ØlÙjÙ

µ

Ë LM

Ë "N

+"%Ç®ï ]bjk

Ý

Å*ØlÙ !Ú ÇjVÊ

ø>

"

ï

Í

2

Å

#

× µ

×cT

Ï

"N,

Ï

"N%N"%

r

¦!

.$"V#&£Æ "%Ä Å bj ØlÙ ]

Ø ¦ Ù 9ØlÙ Ý

×

X

¦jCÚ

ÏkÅOØlÙ #

î ØlÙ

k

Ï #

+"

X

ï

| k}pWbdTeKkmc~F} h-isbIvLhLhdTbroxLkbIkiHxcu{dTuijh-uiHxLh

#

\

acbdTegfh-ijhlkmonqp4rTisbdTe#tdTuvHw kpWiHx*dTeyzdTu{d ï k

Å

]\`^

û

Ç>ÆÌ L

&)Â

Æ

35 ×

0

k+Í Ç

&

"%ò

Æ

ÏjÍ

Ù5

Å*ØÙ ó Ú

Çj

L

+Í

Ç

Z

Å

È)

& "% 1ËÃLM

0

9 H

Æ

ÏjÍ Çj

X

*TR

Å9

î ØÙ ó

Û

ï

NÆ µÇÊÄÇj Æk"N#"NÇj))Â Æ`ÄXÇj Æ "¥¤ ¤6)vLÇ kpWf®km ?pLkTLd9isegis uf dTbrisusha¢¢egiHx*dTuiHkÇ b'h¯ 9"%'N"Np*#dT" b'± h-eIk mo vLkpWi °5d ± v-p%k°5dTubIkh-uv-i3ivLv¦?pWisv-bIv-b)i °5d- ÅmØ b ØÙ ¦ ]j]C

Û-&

Æ

#"NÇj

35 35 E ×

"%Â #"%ÇÃÇÊ5 kÆ +XÏjÍ Ë P

5 ¦t?k} b)iHx*dTuiHkb'h¯kmus)vcaltV 5 E ,²

#"NÇj

N

Çj

ÅOØÙjÙ S Ú

1

§

¦b

Û

î ØlÙjÙ S

Å

R ï

Ï

Å[Ø

b ó

X

11] L

Ç

"N#&

Ý

1 ¢e¶dTb'h `> ]8Ú

ÅOØlÙjó

ï

× §IL

!X ]

Çj

ÊÇ

Æ

Í

Â

'

Â

L

Ç

RL

"

C#"%Ç

±+Ç

E

]8Ú

!ÅOØlÙjÙ

"N%"V#"

Æ

Í

>I]

ï

>

"%OkÆ

ÈX

§IL

Å

E

§Ö

Â

Â

N"

Æ

Ëj

§ÖXL kÆ

5

!#&

m Å

î ØlÙjÙ ]

" " % n§I+ÍkË

§I

Ï

Å

Ç

X

Æ

Å

+

ÍkLX í

L

C#"%ÄX

"

Í

"%"

+

ÆWkÆ +

v-+uÇ p-ÄXiHÇxLh

>

î ØlÙjó

"N

Í

"

¤

+L

"P!

Ç

ï

&

¤

] SjS Å

1

Ø Ú

¤

®"%1 ]j¦ Å ØÙ

%Âk&

L

"P

+

'

Å

«L»'p4dTb'h9d x-uiHkb'h #Ç>Ä&)#"NÄ

P

!+"%Çj

Ø

L

Í

XÏ

ÆQÄ!

Å

Æ

Ç

+

Æ

"NÄ*Æ)!

1

ÊÇ

1 Å

"N

Í

Æ

î ] SjS

Ò

X

Ø ï

Í

"P

Ëj

%"V

¤

X !N

Ë

vL+xL"N bIÇkÊ

ËÃL

Ç

\

ï

§

OÂ

Ý

X+

+L

W

"%! kÇ Ø 9Ø Ù

½qi-hqv*dh-} p%vLhcdTbr'dhv,p4dTb'h-isuiHkb'h

î ØÙjójó

"

%! Æ ` Ç Æ 1b Øló S 9ØÙkØ Å

"NPÆ

ï Ï j

Í

× §

Æ

Ý Å

ÅmØÙjójó Ú

Ï Ç

Ç

N+"NÐ!

OÄÇ "%ÇjòÇÊ r£½qp4d-Â ¢) iHx*!dT+e6 uHdTuijh-uiHxLh N#Å["VØÐ! Ø | k}pW bdTeKkmt?kc¢ï } u{dTuiHkbdTe1"%dTÄb

× §I

Í

#&

" ÌÆ "N Æ£#& ÇÊ-" kb£ qdT uuv-pWb" acb#dT"%egÇf h-ij hzdTb r¼d xL is bIv+-"Pb)!u v-esegi¶w v-+bIÇ xLv !Å +"% Çj£ ¦j] Ø- ¦!

L

"PC

¸6)vz°5d xL¨¨b)i m:vLlus)v¹-kkuh-up4d-¢dTbrºkus)v-pªp%vLh9dTc¢egisb w î K ñ ñ XL Å Å

]

Å[ØlÙó Ú

§IL ò

î ØlÙjó

Å

Ê Ë

Ç>Ä"

× §I

"VÐ

Ý

Ç

§

%

Ý

î ØÙ

Ý

Ê

ËÅ

bk

×

³t?k} b)iHx*dTuiHkb'h?isbu{dTuijh-uiHxLhLIFdTpWuI~µ´¦is}e¶dTuiHkb·dTbrt?kc¢} u{dTuiHkb

Ïj

"N

ËjÅmØlÙ ¦bCÚ

Çjk

×

+Ä

±ÇÊO"V#

"Pz Ï Çj

"N+Ç

"N

Ý × §IÍkË

8Ú

ÅOØlÙjÙ

>

§ÖÍkË

dTbra¢¢egiHx*dTuiHkb'h Ç

×

ÔkÆ

.$"N+&òÂ

Ä

+$"

Û ×

Ä&

X

&1++Â[Ý Çj+Ä& Å H

,

#"NÇj[Ý "%

© 5

Ð!

Å

Â9Ç

] SjS

Ø Ú

Å

C#&

B Å Í

"%

Â

Z

Ç &1++Â[Ý

Í

©

C#"N%Æ

N"

¤K&

"

ÇjÄ&

, Â)! ÊÇ ,

î ] SS

&

Ç

"

Æ

L

Æ

>

+L

Ä&

Ø S

[Å

&

Ä

L

Å

ÃR"% Å9ñ

Ï

Í

2

L

ÆÜ ' Æ

Ç!¤

Û-&

Ä& &1

Â

Å£ñ

"

L

"NÄ)ÄXÇ

Ï

Â)Ä,C

]

ÄXÇjNBÆ

Å "N%

Å Å1 "%Ä

Ø

ç

'

!

LM

ï

!ÄXÇjN !"%

Ç Æ

ï -L

Z 0

Å

Í

ÄB

L Ä

î ØlÙjÙÙ

k

Ð

í

Ê

Ä#-ÇjÃ.µ!Ê

X

È

1+"

,

Ê

î ] SjS

I

+ÄX"

Çj"%Ð

ÓÝ

N"%

ÇjÄ&

X

Æ

5 ¢2

Å !

ÆWÆ

L

>

LM

Ä&

Æ

&MÂ Ê Ç LM X

.µ!Ê

" Æ X+

Å TR 9 Å

Ä

2

ï

Í

ÄX

¢X

Ï &

Ø

L

Ç

\

TR Å

Å Å

ÇlÐ

0

® Ë

"

ï

Å í

"%Ä&

XÅ

"%ÄX Õ+ Å1

Å

Ã

ÇÊ

Ç j Ü Å

\

Å í

î ØlÙjÙó

ÄX+"%Çj

+"N

#Çj ÍkLX

z

í

Ã

"

"%rÇÊ+Â)!+"PN Ë ñ Ï

"NÐ ñ

Æ

"

)

2

Ï

Çj+Ä& Å

Ä

>

Å

k Å

"%

Å í

!

Ë

Õ+Ð!

Ø Ú Å*ñ

Å

Æ

ÇlÐ

] SjS

U

&Ã#&

Åñ

Ï

Å

Ï

Â

"%Ä,%"N L

Û-&

Å

Ç

L

L

Å>ñ

+

!

E Z

1µ+& Ç bjbjb Å

"NÄ

Ç

×

-Z

Ç8Ð

!

Ï

P

LM

X

{Ã ¤

r+ÇÎ

Å[ØlÙjÙÙ Ú

Â

Ïj

Í

NÇ Ä!#"NÇj

B L

"%Ä,%"N Å

2

Â

ï

"N

"

Â

,qdTbr kZ¿iHv-e¶rhkb·dcÀv-uÁkp%¨TÂ?k9r v-esegisb wIu{dTuijh-uiHxLhL

î ØlÙÙ

XÅ*ØlÙÙjó Ú í

×

¾ Å

Ç j

Í

L

Å

!Å

Ç

"N Â

Í

" #"N

Í Ï

¤

D] D] ×

] SjS Å

Ù] 1 Ù]

Ø Ú

Â +Ç Ä&

×

Ï

2

Ï

b

Å

1

"% Ø ]jb

2

µ

ï

Ï

"N

Å

Í

%"N&

Ç

Æ

\

Ø

L

X ]

Â

!+"%Çj ÊÇ Ïj+

Ç

,Ã"N`Â

L

xÊ

Æ XË

Í

"

+

m Å

Å

Ç Ç>Æ

"

\

N#"NÂ

N"%,

Ç! LM

Í

L

"

XÍ

Å H Å

Í

Ð ÍkL

#&

í

uisb)}+Çjk }hª Æ³b) is©dTpWidTuv¦yÇjijh-& u p-i9Çj} uiHkb'h

L

+E E >

!¤i"%

ÅmØlÙjÙ !Ú

Ï ÇjÃ+"N ÏÜL '

X

+"

]j ó

Ý

kÇ L

î ØlÙ ]j

Çj&k

2

ï

"V#& ÏkÅ

[ Ø

L

Ç

]jCÚ

} Å p¦ fh-ij¨

î ] SjS

+"%ÄÌ

Å*ØlÙ

"%

×

Å

Â

Ï

Ç

Ä3v-isushxL pWi mWu Í

#"%

Å "N+&

+

L

%,

Ç

§t?kb)

î ØlÙjÙ

í

)! Å

nÄXPµÇÊ

ï

2 2 ¼nqp*rTisbdTe³ydTu{d 1 Ã k9r v-egisb w `> Ç 3 E Ù E > ©X 2 1t?kb)uisb)})k} h £}eguis©dTpWidTuvyijh-upWi9} uiHkb'h isejv-f·6v-pWiHvLh¯isb¼?p%kTLd9isegisuf¬dTbr¬uHdTuijh-uiHxLh ®È \ ] 3 ~2 Ã 5 2 5 5 ]

0 É Z Z vX Z ! X > > E 2 X Ã Z >´2 Z © ©Z 2 Ê> KvHwTp%vLhLh-iHkbk9r v-eÊhKm:kpx*dTuvHw kpWiHx*dTeIdTbregisisuv*rr v¢)v-b) r v-b)u©dTp-id9ejvLh > z 2 Ë6)v ÌaceÍw kpWisus ÎdTbrKÏ uv-b'h-iHkb'h \ ] Z ~FiHkv-upWiHxLh Ù 1 | k}pWbdTeKkm¦us)vcacv-pWiHx*dTb£uHdTuijh-uiHx*dTea¡hLhkx-idTuiHkb Æ2 ´5 '4 ×

ÐjÇj

Çj&k

ÏjXxÅ

Â

×

Å

Ì

Ç

] SjS

ËËjÅ

Í

Æ

Å

ÏÎ

L

] SjS

R! Å5 Å

ÅñQÍ

§

&1++Â[Ý

×

Ç

+

Å

%

Å

Å

Ç

k

Å

× ñ

Ä&

ÅOØlÙ 1¦CÚ

Æ

î ØlÙÙ

¦

+

Æ

Û-&

Â

L

%1$ÄÇ

×

Â

ÅOØlÙ

ÄXÇ

k Å

ï

Í

H

Ï

Û

Å

.$"N

Ä& Å§

,"P!

Æ

ÊÄ

ÅUñ

#ÇÔ%!

Å

Å

Ç>Çj, XËÅ

L

ÊÄ

1Ð!

"%

#Õ+lÐ!

T

Å

ÅÃ§Ö

Å

Æ XÅ3ñ

Å

Åiñ

X

#Ç

!#

ËjÅ

Û-"

LMÏ

1#

!&)!¢

Å

Ç++Ç

Å

H

¤

Æ

Æ

Ð!

%"NÄ!+"%Çj

ÅB§

Ä H

¾

çÍk

ñ

ï

Ä& Ë

%

¤

k

]!b

Æ

+ÄX"

L

+& ! ØójÙ

1

L

Å

X

î ØÙjÙ ¦

Å

"%+&k)

Û

ï

Ä

L

!#"NÄ ] S

Ç>Æ

Ã

çÊÇ

L

+&

#"

C#"%Ç£Ç!Ê"N1

¤

Ý

î ØlÙ ¦j

Ü

Å

Æ

ËË

#

Å

#"V#"%Ç

¦jCÚ

î ] SjSjS

H

ÐÔ"N1 L

"N1

Ïj

!,>ÖÝ

î ØÙ 1¦

Å

Æ

"%+&k)

ñQ

í

Çj

"%

× ñQ

Í

XËjÅ

$"%Â

Å[ØÙjÙ ¦CÚ

P!¾kÆ

"N+"%Çj

Ð!

Ä H

9

"%Ä&

ï

Ç

,

Å

Å

Å

Í

Û-&

L

H

Ç

m

Ç

Çj&

Ý

C.-.-.

&)

Æ

ËË

+

&)

Å

Å

Í

,

T

$Õ+Ð!kÝ +Ï

&)!

Ï

H

"

ï

LXÏ

C.-.-.

Çj

Ø

L

&1++Â[Ý

&),C L

í

î ] SjS

Æ

ï

Å

ÄÇ

Å

Û

ÄÇjkÆ

î ØÙjÙjÙ

Ç!Ê

ï

Å

Ä

Å

Å í

Ø

Ç>Æ®ï

Ü Å

"%, Å

ÏkÅ[ØlÙjÙ ¦8Ú

H

Ï

H

Å

"N+"%Çj

VÐ Æ

Ø Ú

Æ

î

"%)!*Æ)!#

Ä"

k

mX

Æ

"%& ) LMØ

ÐjÇj

î ] SjS

Ë>ËÅ

1

,

ÄÇjkÆ

#

!#"%[Ç

¤

Ä

+Â

×

Ø Ú

P!, Í

Å

Å

+Ä"

Çj

Å 9 Å

±Ç

Ç

+

H

.

] SSjS Ú

XË

Í

í

Å

Çj&

"N

B

"%

×

Å*ØlÙjÙÙ Ú

mX

+ÇjQ Æ

"%

Æ

L

ï

L

+"

L

!#"NÇj

#&

Ç>Æ

nÊÇ Å ¦ S

Ç Æ %ÌÇÊB+Â)C#"P!±"N1 ] Ø ] S 9Ø

ÄX+"%Çj

Ý

×

ÅOØlÙ Ú

Ç8.

N

Ç8.

Í

ÇÊ®-Ê Ø 1]>

X

×

× U+

ZX >

N

N L

CÕ+

Ä& Ù

]Z

Å "%

Ð>"N+& Ç

"N%"V#"

k

X

Ð

î ØÙ

>Ð

ï

"P

Ík Å

5

>

Ä

Å í

%

.$"V#&

Í

[.$"N#&kÇ

ÄNÄ

>

Ç ±Ç

X

L

Ç

Í

Ç

`2

,1¤

Ð>"%& Ö

Ï

%!#"N

m9 Å

ËÅ

Ï

rÈ

#&kÇ ÆÊÇ X

Æ

U Ã

"%Æ

X +

Ï

"VÐ

Æk"%

Ê\ Å

Ë

L

+&

"% " Å ¦

+"V

Å Û Å

T

+

Æ L

0

Æ

Æ

î

+ ÄXÇ

Ø j

\

"NÆ

Ï j

-

î ØlÙjó

k

L

ËÅ P

L

Í

Ý

¬U+

"% N

xL

Vt?kc¢} uH |

"VÐC#"NÐ

Ï

ï L

Å-ñ

1

Ëu{dTuijh-uiHx*dTe¦vLxL'dTb)iHxLh9ÂÐi¶w kp%k}h¼p%vLh-}egush9

î ØlÙ Ù

LM

Ä" Í

.

Ä&

@\

]CÚ

ÅØlÙjó Ú

ñ

Å Å U Í + Û ,!Çj%, À¡} v-pWiHx*dTe8pLvLx-iÊ¢)vLh¦isbti±T

ÅmØlÙjÙ î ØlÙjÙ ]

!Å*ØlÙ Ù Ú

µ

Â

Ä#"NÇjnÇ!Ê

Å

ï

Í

×

+

z× ó

ï

Ý

Ð

Ø S ¦

Ï

b! Â

Ç

L

"N+& Ø S b

ØlÙ

¤

Ø S

ï

CÚ

ñQÍ

a¢¢egiHv*ruHdTuijh-uiHxLh

N+"NÐ!

"P!

Å

L

-!

Ç b b j

ókØ Ý

> ×

> ×

+

Í

\

K.rÇ

>

T Å

\

&

5

\

ÅOØÙjÙjÙ Ú +&

Å

Â L

"V#&

²

× *X

"N, "%

U

\

Ù

T

î ØlÙÙ S

Å>ñ

L

Æ)

Í

ï

Ï

Í

"N

+

+" C¤ ] S

| k} pWbdTekm

Ç«ÄÇjNÇ

Æ%!++"%Ä

8ach-f>c¢ukuiHxh-uHdTuijh-uiHxLhT

î ØÙjÙjó

Æ

L

ï

k

Ïj "%Æ

U

X

Ë

"VÐ

+"V

k9r v-egisb wÑv-c¢)kp4dTesegfylv¢)v-br v-b)uznqp4rTisbdTe³?p%kxLvLhLhvLh

î ØlÙjÙjÙ

\

"VÐ

!Å &

ï

Ë "%

1

ñ

L

"%Ä&k" UTR

Åµ§ "

Ï

ÇÊ

Ï

+

§

in

XÅrñ

L

Ú

C

Æ

Û5

ï

0

Å

î ØlÙ

"N#

²*X

m Ð

,

É?

rL

"V#& m¦#us& )vcacv-p- iHx*Ç dTbª u{dTuijh-kuÆW iHx*dT+&e)a¡Â9 hLhÇ kÇ x-idTuiH!k b | 1k!} +pW"%bÇjdTMeKÇkÊ

j

X

¦j¦

Ð

ÅOØÙ bÚ

î ØlÙ

k

TR

Ý

\

n

"V++ Ø 1b

Æ

Ý

Ï j

Û-&

ÅmØlÙ !!Ú &

Ø b1 9Ø 1bk

XÅOØlÙÙ S Ú

\

+ Å*Ø

ÏkÅ

"

]

"NÆ

"%

"kÆQÛ5 L LM

Å

Ý

5 2

Å

Å

Í

,

Í

Ã± L

5

Í Æ Çj%"N, hLhkx-i%dT"%&k uiHÇ kÇ>b Æ Å*ó | k} pWbdTekmu)vacv-pWiHx*dTb¼uHdTuijï h-uiHx* dTe6a¡

+Ç>Ä"%

+ Ï

×

Å*ØlÙjÙjó Ú

×

Æ)

ÅØlÙ ¦j¦CÚ

>

ÅOØlÙjÙ S Ú

,

a ¢¢+eg iHv*rop%kTLd9 iseg isuf

Ã±jU +

×

Æ

#"NÇjQÊÇ ] Ø ]>

×

]

Í

"N, ¾ÊÇ

î ØlÙ b

+LòÅ

Æ

Ë Î#!#"NÇj)

X

ï

BÂk&)

µÍkÏjÍ

Ï

,Ç

Ø S ó

Â

Ç Ä

#& LM

"

+&

Ç Æ

ñ

ÏjLM ¦ S

T

Çj1

%Ç Ï

1!+"%ÇjÃ

ÇC¤

Ý

6~iHkv-upWij¨Td

±"%

+&

Â

q fh-iHx*d

Í

cµÆ)!Ü ÙjÙ Å)ó

Æ

£ ï

Ç

î ØÙjÙ S

Ñ+Ä&

Å

P!

" Æ % Å[Ø Ý

1Ð óÙ

Ê& ¦ S k

Í

Æ