Probability and Mathematical Statistics pdf

Probability and Mathematical Statistics pdf

Probability and Mathematical Statistics pdf : Pages 712

By Prasanna Sahoo / Department of Mathematics University of Louisville

This book is both a tutorial and a textbook. This book presents an introduction to probability and mathematical statistics and it is intended for students already having some elementary mathematical background. It is intended for a one-year junior or senior level undergraduate or beginning graduate level course in probability theory and mathematical statistics. The book contains more material than normally would be taught in a one-year course. This should give the teacher flexibility with respect to the selection of the content and level at which the book is to be used. This book is based on over 15 years of lectures in senior level calculus based courses in probability theory and mathematical statistics at the University of Louisville. ( Source : Preface book / Page 6 )

TABLE OF CONTENTS : Probability of Events ; Conditional Probability and Bayes’ Theorem ; Random Variables and Distribution Functions ; Moments of Random Variables and Chebychev Inequality ; Some Special Discrete Distributions ; Some Special Continuous Distributions ; Two Random Variables ; Product Moments of Bivariate Random Variables ; Conditional Expectations of Bivariate Random Variables ; Functions of Random Variables and Their Distribution ; Some Special Discrete Bivariate Distributions ; Some Special Continuous Bivariate Distributions ; Sampling Distributions Associated with the Normal Population  ; Some Techniques for Finding Point Estimators of Parameters ; Criteria for Evaluating the Goodness of Estimators ; Some Techniques for Finding Interval Estimators of Parameters  ; Test of Statistical Hypotheses ; Simple Linear Regression and Correlation Analysis ; Analysis of Variance

with Answers to Selected Review Exercises

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