An introduction to probability theory and mathematical statistics /

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Rohatgi, V. K., 1939-
Άλλοι συγγραφείς: Saleh, A. K. Md. Ehsanes
Μορφή: Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Hoboken, New Jersey : John Wiley & Sons, Inc., [2015]
Έκδοση:3rd edition.
Σειρά:Wiley series in probability and statistics.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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049 |a MAIN 
100 1 |a Rohatgi, V. K.,  |d 1939- 
245 1 3 |a An introduction to probability theory and mathematical statistics /  |c Vijay K. Rohatgi and A.K.Md. Ehsanes Saleh. 
250 |a 3rd edition. 
264 1 |a Hoboken, New Jersey :  |b John Wiley & Sons, Inc.,  |c [2015] 
300 |a 1 online resource. 
336 |a text  |2 rdacontent 
337 |a computer  |2 rdamedia 
338 |a online resource  |2 rdacarrier 
490 1 |a Wiley series in probability and statistics 
504 |a Includes bibliographical references and index. 
588 |a Description based on print version record and CIP data provided by publisher. 
505 0 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
505 8 |a 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 
520 |a 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. 
650 0 |a Probabilities. 
650 0 |a Mathematical statistics. 
650 7 |a Mathematical statistics.  |2 fast  |0 (OCoLC)fst01012127 
650 7 |a Probabilities.  |2 fast  |0 (OCoLC)fst01077737 
650 7 |a MATHEMATICS / Applied  |2 bisacsh 
650 7 |a MATHEMATICS / Probability & Statistics / General  |2 bisacsh 
650 4 |a Mathematical statistics. 
650 4 |a Mathematics. 
650 4 |a Probabilities. 
655 4 |a Electronic books. 
655 0 |a Electronic books. 
700 1 |a Saleh, A. K. Md. Ehsanes. 
776 0 8 |i Print version:  |a Rohatgi, V. K., 1939-  |t Introduction to probability theory and mathematical statistics  |b 3rd edition.  |d Hoboken, New Jersey : John Wiley & Sons, Inc., [2015]  |z 9781118799642  |w (DLC) 2015004848 
830 0 |a Wiley series in probability and statistics. 
856 4 0 |u https://doi.org/10.1002/9781118799635  |z Full Text via HEAL-Link 
994 |a 92  |b DG1