Read more
Informationen zum Autor Vijay K. Rohatgi, PhD, is Professor Emeritus in the Department of Mathematics and Statistics at Bowling Green State University. An Investment Research Consultant for PRI Investments, he is also the author of several books and over 100 research papers. A. K. Md. Ehsanes Saleh, PhD, is Distinguished Research Professor in the School of Mathematics and Statistics at Carleton University. Dr. Saleh is the author of more than 200 journal articles, and his research interests include nonparametric statistics, order statistics, and robust estimation. Klappentext A well-balanced introduction to probability theory and mathematical statisticsFeaturing updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof probability. The second part addresses statistical inference, and the remainingchapters focus on special topics.An Introduction to Probability and Statistics, Third Edition includes:* A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression* A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics* Additional topical coverage on bootstrapping, estimation procedures, and resampling* Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals* Over 550 problems and answers to most problems, as well as 350 worked out examples and 200 remarks* Numerous figures to further illustrate examples and proofs throughoutAn Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and statistics. Zusammenfassung A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Inhaltsverzeichnis PREFACE TO THE THIRD EDITION xiii PREFACE TO THE SECOND EDITION xv PREFACE TO THE FIRST EDITION xvii ACKNOWLEDGMENTS xix ENUMERATION OF THEOREMS AND REFERENCES xxi 1 Probability 1 1.1 Introduction 1 1.2 Sample Space 2 1.3 Probability Axioms 7 1.4 Combinatorics: Probability on Finite Sample Spaces 20 1.5 Conditional Probability and Bayes Theorem 26 1.6 Independence of Events 31 2 Random Variables and Their Probability Distributions 39 2.1 Introduction 39 2.2 Random Variables 39 2.3 Probability Distribution of a Random Variable 42 2.4 Discrete and Continuous Random Variables 47 2.5 Functions of a Random Variable 55 3 Moments and Generating Functions 67 3.1 Introduction 67 3.2 Moments of a Distribution Function 67 3.3 Generating Functions 83 3.4 Some Moment Inequalities 93 4 Multiple Random Variables 99 4.1 Introduction 99 4.2 Multiple Random Variables 99 4.3 Independent Random Variables 114 4.4 Functions of Several Random Variables 123 4.5 Covariance, Correlation and Moments 143 4.6 Conditional Expectation 157 4.7 Order Statistics and Their Distributions 164 5 Some Special Distributions 173 5.1 Introduction 173 5.2 Some Discrete Distributions 173 5.2.1 Degenerate Distribution 173 5.2.2 Two-Point Distribution 174 5.2.3 Uniform Distribution on n Points 175 5.2.4 Binomial Distribution...
