Synopses & Reviews
Now updated in a valuable new editionthis user-friendly book focuses on understanding the "why" of mathematical statistics
Probability and Statistical Inference, Second Edition introduces key probability and statis-tical concepts through non-trivial, real-world examples and promotes the developmentof intuition rather than simple application. With its coverage of the recent advancements in computer-intensive methods, this update successfully provides the comp-rehensive tools needed to develop a broad understanding of the theory of statisticsand its probabilistic foundations. This outstanding new edition continues to encouragereaders to recognize and fully understand the why, not just the how, behind the concepts,theorems, and methods of statistics. Clear explanations are presented and appliedto various examples that help to impart a deeper understanding of theorems and methodsfrom fundamental statistical concepts to computational details.
Additional features of this Second Edition include:
A new chapter on random samples
Coverage of computer-intensive techniques in statistical inference featuring Monte Carlo and resampling methods, such as bootstrap and permutation tests, bootstrap confidence intervals with supporting R codes, and additional examples available via the book's FTP site
Treatment of survival and hazard function, methods of obtaining estimators, and Bayes estimating
Real-world examples that illuminate presented concepts
Exercises at the end of each section
Providing a straightforward, contemporary approach to modern-day statistical applications, Probability and Statistical Inference, Second Edition is an ideal text for advanced undergraduate- and graduate-level courses in probability and statistical inference. It also serves as a valuable reference for practitioners in any discipline who wish to gain further insight into the latest statistical tools.
Review
"The authors...present a wealth of real world applications of the methodology." (Quarterly of Applied Mathematics, Vol. LIX, No. 3, September 2001)
Review
"...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 ReviewMarch 2008)
Synopsis
An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.
Synopsis
Now updated in a valuable new edition-this user-friendly book focuses on understanding the "why" of mathematical statistics
Probability and Statistical Inference, Second Edition introduces key probability and statis-tical concepts through non-trivial, real-world examples and promotes the developmentof intuition rather than simple application. With its coverage of the recent advancements in computer-intensive methods, this update successfully provides the comp-rehensive tools needed to develop a broad understanding of the theory of statisticsand its probabilistic foundations. This outstanding new edition continues to encouragereaders to recognize and fully understand the why, not just the how, behind the concepts,theorems, and methods of statistics. Clear explanations are presented and appliedto various examples that help to impart a deeper understanding of theorems and methods-from fundamental statistical concepts to computational details.
Additional features of this Second Edition include:
*
A new chapter on random samples
*
Coverage of computer-intensive techniques in statistical inference featuring Monte Carlo and resampling methods, such as bootstrap and permutation tests, bootstrap confidence intervals with supporting R codes, and additional examples available via the book's FTP site
*
Treatment of survival and hazard function, methods of obtaining estimators, and Bayes estimating
*
Real-world examples that illuminate presented concepts
*
Exercises at the end of each section
Providing a straightforward, contemporary approach to modern-day statistical applications, Probability and Statistical Inference, Second Edition is an ideal text for advanced undergraduate- and graduate-level courses in probability and statistical inference. It also serves as a valuable reference for practitioners in any discipline who wish to gain further insight into the latest statistical tools.
Synopsis
Probability and Statistical Inference, Second Edition is a user-friendly book that stresses the comprehension of concepts instead of the simple acquisition of a skill or tool. It provides a mathematical framework that permits students to carry out various procedures using any number of computer software packages as opposed to relying on one particular package. Its unique approach to problems allows readers to integrate the knowledge gained from the text, thus, enhancing a more complete and honest understanding of the topic.
Synopsis
Understanding the "why" of statistics and probability—a unique and useful emphasis on theory
This outstanding textbook emphasizes theoretical comprehension rather than the narrow acquisition of concepts or skills. Probability and Statistical Inference focuses on the development of intuition and understanding through diversity of experience.
This thought-provoking text reintroduces mathematics, abstractions, and theory into the study of statistics and probability, and demonstrates that greater abstraction leads to a wider applicability of the methods under discussion. Its unique approach to exercises integrates the knowledge gained here and promotes a more complete understanding of the material.
Probability and Statistical Inference features:
- A wealth of examples illustrating concepts, theorems, and methods—from numerical data and details of calculations, to ideas behind some of the methods, and more
- Accessible, user-friendly treatments that clearly explain concepts and motivations while pointing out pitfalls and difficulties of arguments
- A selection of advanced topics for students who would benefit from more thorough explanations
- An instructor's manual with solutions available from the publisher
Suitable for upper-level undergraduate and graduate courses in statistics, and as a professional reference, this unparalleled volume offers useful insights to anyone who uses statistical tools, whatever the discipline.
Table of Contents
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.