Examples and Problems in Mathematical Statistics ( Wiley Series in Probability and Statistics )

Publication series :Wiley Series in Probability and Statistics

Author: Shelemyahu Zacks  

Publisher: John Wiley & Sons Inc‎

Publication year: 2013

E-ISBN: 9781118606001

P-ISBN(Hardback):  9781118605509

Subject: O212 Statistics

Language: ENG

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Description

Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises

With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results.

Written by an established authority in probability and mathematical statistics, each chapter begins with a theoretical presentation to introduce both the topic and the important results in an effort to aid in overall comprehension. Examples are then provided, followed by problems, and finally, solutions to some of the earlier problems. In addition, Examples and Problems in Mathematical Statistics features:

  • Over 160 practical and interesting real-world examples from a variety of fields including engineering, mathematics, and statistics to help readers become proficient in theoretical problem solving
  • More than 430 unique exercises with select solutions
  • Key statistical inference topics, such as probability theory, statistical distributions, sufficient statistics, information in samples, testing statistical hypotheses, statistical estimation, confidence and tolerance intervals, large sample theory, and Bayesian analysis

Recommended for graduate-level courses in probability and statistical inference, Examples and Problems in Mathematical Statistics is also an ideal reference for applied statisticians and researchers.

Chapter

Contents

pp.:  9 – 17

Preface

pp.:  17 – 19

List of Random Variables

pp.:  19 – 21

List of Abbreviations

pp.:  21 – 23

1 Basic Probability Theory

pp.:  23 – 128

2 Statistical Distributions

pp.:  128 – 213

3 Sufficient Statistics and the Information in Samples

pp.:  213 – 268

4 Testing Statistical Hypotheses

pp.:  268 – 343

5 Statistical Estimation

pp.:  343 – 428

6 Confidence and Tolerance Intervals

pp.:  428 – 461

7 Large Sample Theory for Estimation and Testing

pp.:  461 – 507

8 Bayesian Analysis in Testing and Estimation

pp.:  507 – 585

9 Advanced Topics in Estimation Theory

pp.:  585 – 623

References

pp.:  623 – 635

Author Index

pp.:  635 – 639

Subject Index

pp.:  639 – 645

WILEY SERIES IN PROBABILITY AND STATISTICS

pp.:  645 – 655

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