Regression-Free and Robust Estimation of Scale for Bivariate Data ...

6 downloads 51027 Views 276KB Size Report
0.4-quantile, we obtain a much faster estimator with a 20% breakdown point. ..... A potential application of regression-free scale estimators is to testing linearity.
      !#"$!% '&()!%  * ,+$-/.012+3  45 768 9)! ;:2)!A@B>DC E%FD>MIN;OQP%RTSTUVOXWYI Z>DCL@ [\^]`_baced\'fgc hjilkm_bcong\'d_bceprqts_bfvuwxhBdl]vyDc^\'a?zq'pr\'fQqt\t{}|~€9~‚,~ƒ{ |8fgpo„b\'a…s'poc^\'pocos^]v†‡\'pofmˆK{ ‰‹Š^ŒM3ˆAŽ‚lfgce\'aV]g{ ‰)\'† bpoyDd ?‚ ‘s'cea7_Aq'cV’/“^”–•…—`˜‡™šg›bšvœ9žœ š`7œ9™7œ9”Ÿ•7 3¡`¢`™£•œ9™£•…˜‡¤›B•… 37™,¥¦ 3•…—`œ §`˜‡™7švœ97™7˜‡ 3”– b¥‹•…—`œ œ977 37™¨˜‡”X™7˜‡¤š`©‡œ ©‡˜‡”`œª›b«7œ9¬37œ9™7™7˜‡ 3”­$®¯M˜‡™£•…˜‡”`¬°™7±ª›b©‡œYœ9™£•…˜‡¤›B•… 37™›b7œ¡g›b™7œ9§² 3”X•…—`œ 7œ9™7˜‡§`¢g›b©‡™¥¦7 3¤›b”³œ9™£•…˜‡¤›B•… 3 b¥‹•…—`œ 7œ9¬37œ9™7™7˜‡ 3”³˜´•…™7œ9©´¥j­µ“^”`™£•…œª›b§¶xžœ š`7 3šv 3™7œ/™7±ª›b©‡œ œ9™£•…˜‡¤›B•… 37™•…—g›B•§` m”` b•«§`œ9švœ9”`§X 3”·›b”Ÿ¸°š`7œ'¹D˜‡ 3¢`™«œ9™£•…˜‡¤›B•…œ¨ b¥0•…—`œ/7œ9¬37œ9™7™7˜‡ 3”·šg›Kº …›b¤œ'•…œ97™9­¼»g 3«•…—`˜‡™š`¢`7šv 3™7œYžœ±9 3”`™7˜‡§`œ9«•…7˜½›b”`¬3©‡œ9™¥¦ 37¤œ9§X¡Ÿ¸·§g›B•t›¾šv 3˜‡”Ÿ•…™9¶›b”`§ §`œ'¿g”`œ)•…—`œ9˜‡” < î ºV¿`••… °Ðµšv 3˜‡”Ÿ•…™ ±9 3”Ÿ•t›b˜‡”`™x•…—`œ0¿g7™£•‹›b”`§•…—`œ)©½›b™£•ª­ Ö œ9±9 3”`§`©´¸3¶M˜‡”`™£•…œª›b§¨ b¥•t›bÁA˜‡”`¬›b”/›ª¹3œ9…›b¬3œlž‹—`˜‡±t—/˜‡™x¹D¢`©‡”`œ9…›b¡`©‡œ0•…  œ'¹3œ9”°›/™7˜‡”`¬3©‡œ 3¢M•…©‡˜‡œ99¶Qžœ«¢`™7œ›/ÏA¢g›b”Ÿ•…˜‡©‡œb­«Ùœ9±ª›b¢`™7œ b¥x•…—`˜‡™9¶  '  ±ª›b”mž‹˜´•…—`™£•t›b”`§µ›/™7¢`¡`™£•t›b”Ÿ•…˜½›b© ¥¦…›b±'•…˜‡ 3”/ b¥ 3¢M•…©‡˜‡œ97™9­ À—`˜‡™‹7 3¡`¢`™£•…”`œ9™7™)›b™7švœ9±'•0˜‡™ ž 37Ábœ9§ 3¢M•0˜‡” §`œ'•t›b˜‡©˜‡”¨•…—`œ}”`œ¯D•l™7œ9±'•…˜‡ 3”­ à    ê ªî

















































 %



 







 





 

 











 

















 

â(/äã#à µãçªà¨á

Òµœž‹˜‡©‡©l”` Lž#˜‡”Ÿ¹3œ9™£•…˜‡¬Ÿ›B•…œ•…—`œm¡`7œª›bÁA§` Lž‹” šv 3˜‡”Ÿ•…™/ b¥, 3¢` œ9™£•…˜‡¤›B•… 37™9­ »g 3/›b”Ÿ¸²™…›b¤š`©‡œ ê îô ÊªÊªÊ ô ¾•…—` œ  & î  p i mê î ð * ö   ÷ & ò ng\'a…\ öjò ÷ ÷ Ê  ê Ðò   Ÿõ%ö î ng\Yd_ 3pod_b†‹‘9a…\… _ 3uAhB%f¾]ghBpofgc«hji    p‡smh3‘9cV_bpofQ\…u–‘9Ø/]vyDcecepofD ê ÄMÊÌË3ÍbÎA{nDprqtn·a…\ts'yD†cospof ð  ö    ÷

Suggest Documents