Probability, Statistics and Queuing Theory, By SUNDARAPANDIAN, V. ||...
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PROBABILITY, STATISTICS AND QUEUING THEORY, By SUNDARAPANDIAN, V.
Price: Rs. 475.00 ISBN: 978‐81‐203‐3844‐9 Pages: 840 Binding: Paper Back Buy Now at www.phindia.com
DESCRIPTION Probability, Sta s cs and Queuing Theory is considered to be a ‘tough’ subject by most engineering and science students all over the world. What Professor Sundarapandian with his indepth knowledge and rich and long experience strives to do is to make the concepts very clear and comprehensible to the students by his lucid presenta on and illustra ve approach. The book analyses various types of random processes, spectral density func ons and their applica ons to linear systems. Besides, it deals with the basics of queuing theory with a clear exposi on of the five important queuing models. The text gives a detailed descrip on of such topics as random variables, standard probability distribu on, central limit theorem, random processes and spectral theory. The text is profusely illustrated with examples and diagrams so as to make this rigorous subject more understandable to the students. KEY FEATURES : The text is comprehensive and the presenta on prac cal. Over 625 worked‐out Examples, and over 440 Problem Sets. Answers to all sec on‐end problems. Intended primarily as a text for undergraduate students of Engineering for their courses on Probability, Sta s cs, Random Processes and Queuing Theory, the book will also be extremely useful for undergraduate and postgraduate students of Science and postgraduate students of Engineering pursuing these courses.
CONTENTS CONTENTS Preface 1 PROBABILITY 1.1 Brief History of Probability 1.2 Sample Space and Events 1.3 Classical and Empirical Probability 1.4 Axioma c Defini on of Probability 1.5 Condi onal Probability 1.6 Total Probability 1.7 Bayes’ Theorem 2 RANDOM VARIABLE 2.1 Defini on of a Random Variable 2.2 Distribu on Func on of a Random Variable 2.3 Discrete Random Variable 2.4 Con nuous Random Variable 2.5 Mathema cal Expecta on 2.6 Chebyshev’s Inequality 2.7 Moments of a Random Variable 2.8 Moment Genera ng Func on 2.9 Characteris c Func on 3 STANDARD PROBABILITY DISTRIBUTIONS 3.1 Degenerate Distribu on 3.2 Bernoulli Distribu on 3.3 Binomial Distribu on 3.4 Poisson Distribu on 3.5 Geometric Distribu on 3.6 Nega ve Binomial
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Probability, Statistics and Queuing Theory, By SUNDARAPANDIAN, V. ||...
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Distribu on 3.7 Uniform Distribu on 3.8 Exponen al Distribu on 3.9 Gamma Distribu on 3.10 Weibull Distribu on 3.11 Normal Distribu on 3.12 Func ons of a Random Variable 4 TWO‐DIMENSIONAL RANDOM VARIABLES 4.1 Joint Distribu on Func ons 4.2 Marginal Distribu ons 4.3 Condi onal Distribu ons 4.4 Expecta on 4.5 Sums of Independent Random Variables 4.6 Func ons of Random Variables 4.7 Covariance 4.8 Condi onal Expecta on 4.9 Correla on and Regression 4.10 Central Limit Theorem 5 RANDOM PROCESSES 5.1 Defini on and Descrip on of Random Processes 5.2 Sta onary Random Processes 5.3 Autocorrela on and Cross‐ correla on Func ons 5.4 Ergodic Process 5.5 Markov Process 5.6 Binomial, Poisson and Normal Processes 5.7 Sine Wave Process 5.8 Birth and Death Process 6 SPECTRAL ANALYSIS OF RANDOM PROCESSES 6.1 Autocorrela on and Cross‐correla on Func ons 6.2 Power Spectral Density and Cross‐spectral Density Func ons 6.3 Linear Systems with Random Inputs 7 QUEUING THEORY 7.1 Basics of Queuing Models 7.2 Model I (M = M = 1): (?/FIFO) Model, Single Server with Infinite Capacity 7.3 Model II (M = M = s): (?/FIFO) Model, Mul ple Server with Infinite Capacity 7.4 Model III (M = M = 1): (k/FIFO) Model, Single Server with Finite Capacity 7.5 Model IV (M = M = s): (k/FIFO) Model, Mul ple Server with Finite Capacity 7.6 The (M = G = 1) Queuing System Answers to Problems Bibliography • Index ABOUT THE AUTHOR(s) V. Sundarapandian, DSc, is Professor and Academic Convenor, Indian Ins tute of Informa on Technology and Management (IIITM‐K), Thiruvananthapuram, Kerala. He has more than 15 years of experience in teaching and research. Professor Sundarapandian is a life member of System Society of India and ISTE and has won numerous awards and honours for his contribu ons in nonlinear control systems. He has published many research papers in reputed interna onal journals and has authored the book Numerical Linear Algebra (published by PHI Learning).
2009 / 840pp. / 17.8 x 23.5 cm / ISBN‐978‐81‐203‐3844‐9 / Rs.475.00
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