Synopsis
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.
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Review
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)
Synopsis
The primary focus of this book is on the mathematical development of the subject, with the early chapters emphasizing probability modelling. The later chapters cover the theoretical aspects of statistical methods and in this second edition now provides a theoretical introduction to probability and mathematical statistics. A variety of examples and exercises give real-world applications.
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