For a two-semester or a three-quarter calculus-based Introduction to the Mathematics of Statistics course. This classic, calculus-based introduction to the theory and application of statistics provides an unusually comprehensive depth and breadth of coverage and reflects the state-of-the-art in statistical thinking, the teaching of statistics, and current practices including the use of the computer.
Table of Contents
1. Introduction. 2. Probability 3. Probability Distributions and Probability Densities. 4. Mathematical Expectation. 5. Special Probability Distributions. 6. Special Probability Densities. 7. Functions of Random Variables. 8. Sampling Distributions. 9. Decision Theory. 10. Estimation: Theory 11. Estimation: Applications 12. Hypothesis Testing: Theory 13. Hypothesis Testing: Applications. 14. Regression and Correlation. 15. Analysis of Variance. 16. Nonparametric Tests. Appendix A. Sums and Products. Appendix B. Special Probability Distributions. Appendix C. Special Probability Densities. Statistical Tables. Answers to Odd-Numbered Exercises. Index.