06174cam a2200733 i 4500 ocn902986846 OCoLC 20171025110349.0 m o d cr ||||||||||| 150206s2015 nju ob 001 0 eng 2015005260 9781118799659 (ePub) 1118799658 (ePub) 9781118799680 (Adobe PDF) 1118799682 (Adobe PDF) 9781118799642 (cloth) 9781118799635 1118799631 111879964X AU@ 000054214064 DEBBG BV043397505 (OCoLC)902986846 (OCoLC)918624104 (OCoLC)922313856 (OCoLC)927508951 DLC eng rda DLC YDX OCLCF N$T IDEBK YDXCP EBLCP COO DG1 CDX CCO OCLCQ DEBBG KSU OCLCQ pcc MAIN QA273 MAT 003000 bisacsh MAT 029000 bisacsh 519.5 23 Rohatgi, V. K., 1939- An introduction to probability theory and mathematical statistics / Vijay K. Rohatgi and A.K.Md. Ehsanes Saleh. [electronic resource] 3rd edition. Hoboken, New Jersey : John Wiley & Sons, Inc., [2015] 1 online resource. text rdacontent computer rdamedia online resource rdacarrier Wiley series in probability and statistics Includes bibliographical references and index. Title Page; Copyright Page; CONTENTS; PREFACE TO THE THIRD EDITION; PREFACE TO THE SECOND EDITION; PREFACE TO THE FIRST EDITION; ACKNOWLEDGMENTS; ENUMERATION OF THEOREMS AND REFERENCES; CHAPTER 1 PROBABILITY; 1.1 INTRODUCTION; 1.2 SAMPLE SPACE; 1.3 PROBABILITY AXIOMS; 1.4 COMBINATORICS: PROBABILITY ON FINITE SAMPLE SPACES; 1.5 CONDITIONAL PROBABILITY AND BAYES THEOREM; 1.6 INDEPENDENCE OF EVENTS; CHAPTER 2RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS; 2.1 INTRODUCTION; 2.2 RANDOM VARIABLES; 2.3 PROBABILITY DISTRIBUTION OF A RANDOM VARIABLE; 2.4 DISCRETE AND CONTINUOUS RANDOM VARIABLES 2.5 FUNCTIONS OF A RANDOM VARIABLECHAPTER 3MOMENTS AND GENERATING FUNCTIONS; 3.1 INTRODUCTION; 3.2 MOMENTS OF A DISTRIBUTION FUNCTION; 3.3 GENERATING FUNCTIONS; 3.4 SOME MOMENT INEQUALITIES; CHAPTER 4MULTIPLE RANDOM VARIABLES; 4.1 INTRODUCTION; 4.2 MULTIPLE RANDOM VARIABLES; 4.3 INDEPENDENT RANDOM VARIABLES; 4.4 FUNCTIONS OF SEVERAL RANDOM VARIABLES; 4.5 COVARIANCE, CORRELATION AND MOMENTS; 4.6 CONDITIONAL EXPECTATION; 4.7 ORDER STATISTICS AND THEIR DISTRIBUTIONS; CHAPTER 5SOME SPECIAL DISTRIBUTIONS; 5.1 INTRODUCTION; 5.2 SOME DISCRETE DISTRIBUTIONS; 5.2.1 Degenerate Distribution 5.2.2 Two-Point Distribution5.2.3 Uniform Distribution on n Points; 5.2.4 Binomial Distribution; 5.2.5 Negative Binomial Distribution (Pascal or Waiting Time Distribution); 5.2.6 Hypergeometric Distribution; 5.2.7 Negative Hypergeometric Distribution; 5.2.8 Poisson Distribution; 5.2.9 Multinomial Distribution; 5.2.10 Multivariate Hypergeometric Distribution; 5.2.11 Multivariate Negative Binomial Distribution; 5.3 SOME CONTINUOUS DISTRIBUTIONS; 5.3.1 Uniform Distribution (Rectangular Distribution); 5.3.2 Gamma Distribution; 5.3.3 Beta Distribution; 5.3.4 Cauchy Distribution 5.3.5 Normal Distribution (the Gaussian Law)5.3.6 Some Other Continuous Distributions; 5.4 BIVARIATE AND MULTIVARIATE NORMAL DISTRIBUTIONS; 5.5 EXPONENTIAL FAMILY OF DISTRIBUTIONS; CHAPTER 6SAMPLE STATISTICS AND THEIR DISTRIBUTIONS; 6.1 INTRODUCTION; 6.2 RANDOM SAMPLING; 6.3 SAMPLE CHARACTERISTICS AND THEIR DISTRIBUTIONS; 6.4 CHI-SQUARE, t-, AND F-DISTRIBUTIONS: EXACT SAMPLINGDISTRIBUTIONS; 6.5 DISTRIBUTION OF (X,S2) IN SAMPLING FROM A NORMALPOPULATION; 6.6 SAMPLING FROM A BIVARIATE NORMAL DISTRIBUTION; CHAPTER 7BASIC ASYMPTOTICS: LARGE SAMPLE THEORY; 7.1 INTRODUCTION 7.2 modes of convergence7.3 weak law of large numbers; 7.4 strong law of large numbers; 7.5 limiting moment generating functions; 7.6 central limit theorem; 7.7 large sample theory; chapter 8parametric point estimation; 8.1 introduction; 8.2 problem of point estimation; 8.3 sufficiency, completeness and ancillarity; 8.4 unbiased estimation; 8.5 unbiased estimation (continued): a lower bound forthe variance of an estimator; 8.6 substitution principle (method of moments); 8.7 maximum likelihood estimators; 8.8 bayes and minimax estimation; 8.9 principle of equivariance A well-balanced introduction to probability theory and mathematical statistics Featuring a comprehensive update, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided into three parts, the Third Edition begins by presenting the fundamentals and foundations of probability. The second part addresses statistical inference, and the remaining chapters focus on special topics. Featuring a substantial revision to include recent developments, An Introduction to Probability and Statistics, Third Edition also. Description based on print version record and CIP data provided by publisher. Probabilities. Mathematical statistics. Mathematical statistics. fast (OCoLC)fst01012127 Probabilities. fast (OCoLC)fst01077737 MATHEMATICS / Applied bisacsh MATHEMATICS / Probability & Statistics / General bisacsh Mathematical statistics. Mathematics. Probabilities. Electronic books. Electronic books. Saleh, A. K. Md. Ehsanes. Print version: Rohatgi, V. K., 1939- Introduction to probability theory and mathematical statistics 3rd edition. Hoboken, New Jersey : John Wiley & Sons, Inc., [2015] 9781118799642 (DLC) 2015004848 Wiley series in probability and statistics. http://onlinelibrary.wiley.com/book/10.1002/9781118799635 Wiley Online Library ddc BK 207874 207874