PREFACE CHAPTER 1 Probability and Distributions 1.1 Introduction 1.2 Set Theory 1.3 The Probability Set Function 1.4 Conditional Probability and Independence 1.5 Random Variables of the Discrete Type 1.6 Random Variables of the Contionuous 1.7 Properties of the Distribution Function 1.8 Expectation of a Random Variable 1.9 Some Special Expectations 1.10 Chebyshev's Inequality CHAPTER 2 Multivariate Distributions 2.1 Distributions of Two Random Variable 2.2 Conditonal Distributions and Expectations 2.3 The Corrdlation Coefficient 2.4 Independent Random Variables 2.5 Extension to Several Random Variables CHAPTER 3 Some Special Distributions 3.1 The Binomial and Related Distrbutions 3.2 The Poisson Distribution 3.3 The Gamma and Chi-Square Distributions 3.4 The Bivariate Normal Distribution CHAPTER 4 Distributions of Functions of Random Variables 4.1 Sampling Theory 4.2 Transformations of Variables of the Discrete Type 4.3 Transformations of Variables of the Continuous Type 4.4 The Beta,t,and F Distributions 4.5 Extensions of the Change-of-Variable Technique 4.6 Distrbutions of Order Statistics 4.7 The Moment-Generating-Function Technique 4.8 The Distributions of X and nS2 4.9 Expectations of Functions of Random Variables 4.10 The Multivariate Normal Distribution CHAPTER 5 Limiting Distuibutions 5.1 Convergence in Distribution 5.2 Convergence in Probability 5.3 Limiting Moment-Generating Functions 5.4 The Central Limit Theorem 5.5 Some Theorems on Limiting Distributions CHAPTER 6 Introduction to Statistical Inference 6.1 Point Estimation 6.2 Confidence Intervals for Means …… CHAPTER 7 CHAPTER 8 CHAPTER 9 CHAPTER 10 CHAPTER 11 APPENDIX A APPENDIX B APPENDIX C INDEX
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