Mathematical statistics and data analysis
Author(s)
Bibliographic Information
Mathematical statistics and data analysis
Duxbury Press, c1995
2nd ed
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System requirements for computer disk: IBM-compatible PC; DOS. Files in ASCII and Minitab formats
Includes bibliography (p. A25-A30) and indexes
Description and Table of Contents
Description
This volume re-examines the purpose of the math statistics course. The approach, interweaving traditional topics with data analysis, reflects the use of the computer and is closely tied to the practice of statistics. This book aims to offer a fresh view of modern statistics, showing how mathematical statistics plays an integral role in actual statistical practice. The second edition includes the following features: the bootstrap method is introduced as a tool and integrated with general inferential procedures; Monte Carlo methods are also introduced - some are relatively simple and reinforce calculations, others concern bootstrap and Monte Carlo methods and theoretical material on survey sampling; a number are based on data sets and involve the use of the computer; and the number of examples has been augmented significantly, giving the book more depth of coverage. New examples include interesting applications, such as probability of AIDS infection, state lotteries and polygraph testing. Also, more graphical displays have been added.
Table of Contents
1. Probability. 2. Random Variables. 3. Joint Distributions. 4. Expected Values. 5. Limit Theorems. 6. Distributions Derived from the Normal Distribution. 7. Survey Sampling. 8. Estimation of Parameters and Fitting of Probability Distributions. 9. Testing Hypotheses and Assessing Goodness of Fit. 10. Summarizing Data. 11. Comparing Two Samples. 12. The Analysis of Variance. 13. The Analysis of Categorical Data. 14. Linear Least Squares. 15. Decision Theory and Bayesian Inference.
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