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Probability,StatisticsandQueuingTheory
Book·January2009
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PROBABILITY, STATISTICS AND QUEUING THEORY,By SUNDARAPANDIAN, V.
Price: Rs. 475.00ISBN: 978‐81‐203‐3844‐9Pages: 840Binding: Paper BackBuy Now at www.phindia.com
DESCRIPTION
Probability, Sta s cs and Queuing Theory is considered to be a ‘tough’ subject by mostengineering and science students all over the world. What Professor Sundarapandian with hisindepth knowledge and rich and long experience strives to do is to make the concepts very clearand 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 theirapplica ons to linear systems. Besides, it deals with the basics of queuing theory with a clearexposi on of the five important queuing models. The text gives a detailed descrip on of suchtopics as random variables, standard probability distribu on, central limit theorem, randomprocesses and spectral theory.
The text is profusely illustrated with examples and diagrams so as to make this rigorous subjectmore 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 onProbability, Sta s cs, Random Processes and Queuing Theory, the book will also be extremelyuseful for undergraduate and postgraduate students of Science and postgraduate students ofEngineering pursuing these courses.
CONTENTS
CONTENTS Preface 1 PROBABILITY 1.1 Brief History of Probability 1.2 Sample Space and Events 1.3Classical and Empirical Probability 1.4 Axioma c Defini on of Probability 1.5 Condi onalProbability 1.6 Total Probability 1.7 Bayes’ Theorem 2 RANDOM VARIABLE 2.1 Defini on of aRandom Variable 2.2 Distribu on Func on of a Random Variable 2.3 Discrete Random Variable2.4 Con nuous Random Variable 2.5 Mathema cal Expecta on 2.6 Chebyshev’s Inequality 2.7Moments of a Random Variable 2.8 Moment Genera ng Func on 2.9 Characteris c Func on 3STANDARD PROBABILITY DISTRIBUTIONS 3.1 Degenerate Distribu on 3.2 Bernoulli Distribu on 3.3Binomial Distribu on 3.4 Poisson Distribu on 3.5 Geometric Distribu on 3.6 Nega ve Binomial
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Distribu on 3.7 Uniform Distribu on 3.8 Exponen al Distribu on 3.9 Gamma Distribu on 3.10Weibull Distribu on 3.11 Normal Distribu on 3.12 Func ons of a Random Variable 4TWO‐DIMENSIONAL RANDOM VARIABLES 4.1 Joint Distribu on Func ons 4.2 MarginalDistribu ons 4.3 Condi onal Distribu ons 4.4 Expecta on 4.5 Sums of Independent RandomVariables 4.6 Func ons of Random Variables 4.7 Covariance 4.8 Condi onal Expecta on 4.9Correla on and Regression 4.10 Central Limit Theorem 5 RANDOM PROCESSES 5.1 Defini on andDescrip 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 NormalProcesses 5.7 Sine Wave Process 5.8 Birth and Death Process 6 SPECTRAL ANALYSIS OF RANDOMPROCESSES 6.1 Autocorrela on and Cross‐correla on Func ons 6.2 Power Spectral Density andCross‐spectral Density Func ons 6.3 Linear Systems with Random Inputs 7 QUEUING THEORY 7.1Basics of Queuing Models 7.2 Model I (M = M = 1): (?/FIFO) Model, Single Server with InfiniteCapacity 7.3 Model II (M = M = s): (?/FIFO) Model, Mul ple Server with Infinite Capacity 7.4Model 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 Answersto Problems Bibliography • Index
ABOUT THE AUTHOR(s)
V. Sundarapandian, DSc, is Professor and Academic Convenor, Indian Ins tute of Informa onTechnology and Management (IIITM‐K), Thiruvananthapuram, Kerala. He has more than 15 yearsof experience in teaching and research. Professor Sundarapandian is a life member of SystemSociety of India and ISTE and has won numerous awards and honours for his contribu ons innonlinear control systems. He has published many research papers in reputed interna onaljournals 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
PHI Learning Private Limited © 2011.
Email: phi@phindia.comFor more informa on visit : www.phindia.com
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