| Preface 1 Introduction 1.1 Organization of Text 1.2 Probability Tables and Computer Software 1.3 Prerequisites Part A: Probability and Random Variables 2 Basic Probability Concepts 2.1 Elements of Set Theory 2.2 Sample Space and Probability Measure 2.3 Statistical Independence 2.4 Conditional Probability Reference Further Reading Problems 3 Random Variables and Probability Distributions 3.1 Random Variables 3.2 Probability Distributions 3.3 Two or More Random Variables 3.4 Conditional Distribution and independence Further Reading and Comments Problems 4 Expectations And Moments 4.1 Moments of a Single Random Variable 4.2 Chebyshev Inequality 4.3 Moments of Two or More Random Variables 4.4 Moments of Sums of Random Variables 4.5 Characteristic Functions Further Reading and Comments Problems 5 Functions of Random Variables 5.1 Functions of One Random Variable 5.2 Functions of Two or More Radom Variables 5.3 m Functions of n Random Variables Reference Problems 6 Some Important Discrete Distributions 6.1 Bernoulli Trials …… 7 Some Important Continuous Distributions Part B: Statistical Inference, Parameter Estimation, and Model Verification 8 Observed Data and Graphical Representation 9 Parameter Estimation 10 Model Verification 11 Linear Models and Linear Regression Appendix A: Tables Appendix B: Computer Software Appendix C: Answers to Selected Problems Subject Index |
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