Probability and Statistical Inference (eBook)

The late Robert Bartoszynski, PhD, was Professor in the Department of Statistics at The Ohio State University. His scientific contributions included research in the theory of stochastic processes and modeling biological phenomena. Throughout his career, Dr. Bartoszynski published over 80 journal articles, books, and book chapters. He was a Fellow of the Institute of Mathematical Statistics as well as a member of the American Statistical Association, the International Statistical Institute, and the Bernoulli Society. Magdalena Niewiadomska-Bugaj, PhD, is Professor in the Department of Statistics at Western Michigan University. An active member of numerous societies including the American Statistical Association, the Institute of Mathematical Statistics, and the Classification Society of North America, Dr. Niewiadomska-Bugaj's areas of interest include general statistical methodology, nonparametric statistics, classification, and categorical data analysis. She has published over 50 papers, books, and book chapters in theoretical and applied statistics.

Preface.

1. Experiments, Sample Spaces, and Events.

2. Probability.

3. Counting.

4. Conditional Probability; Independence.

5. Markov Chains*.

6. Random Variables: Univariate Case.

7. Random Variables: Multivariate Case.

8. Expectation.

9. Selected Families of Distributions.

10. Random Samples.

11. Introduction to Statistical Inference.

12. Estimation.

13. Testing Statistical Hypotheses.

14. Linear Models.

15. Rank Methods.

16. Analysis of Categorical Data.

Statistical Tables.

Bibliography.

Answers to Odd-Numbered Problems.

Index.

"The book is well written and contains many interesting examples
and exercises. The emphasis in these and the exposition is clearly
on mathematical development and theory." (Journal of the
American Statistician, December 2008)

"The book is well written and contains many interesting examples
and exercises. The emphasis in these and the exposition is
clearly on mathematical development and theory." (Journal of the
American Statistician, December 2008)

"...whether you are looking for a book for classroom adoption,
or just want to brush up your basic probability skills by studying
on your own, you will do yourself and your students a favor by
considering this book." (MAA Review March 2008)