The Second Edition of INTRODUCTION TO PROBABILITY AND MATHEMATICAL STATISTICS focuses on developing the skills to build probability (stochastic) models. Lee J. Bain and Max Engelhardt focus on the mathematical development of the subject, with examples and exercises oriented toward applications.
1. Probability 2. Random Variables and Their Distributions 3. Special Probability Distributions 4. Joint Distributions 5. Properties of Random Variables 6. Functions of Random Variables 7. Limiting Distributions 8. Statistics and Sampling Distributions 9. Point Estimation 10. Sufficiency and Completeness 11. Interval Estimation 12. Tests of Hypotheses 13. Contingency Tables and Goodness-of-Fit 14. Nonparametric Methods 15. Regression and Linear Models (Optional) 16. Reliability and Survival Distributions (Optional)