An Introduction to Probability and Statistical Inference
eBook - ePub

An Introduction to Probability and Statistical Inference

  1. 523 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

An Introduction to Probability and Statistical Inference

Book details
Table of contents
Citations

About This Book

Roussas introduces readers with no prior knowledge in probability or statistics, to a thinking process to guide them toward the best solution to a posed question or situation. An Introduction to Probability and Statistical Inference provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. "The text is wonderfully written and has the mostcomprehensive range of exercise problems that I have ever seen." — Tapas K. Das, University of South Florida"The exposition is great; a mixture between conversational tones and formal mathematics; the appropriate combination for a math text at [this] level. In my examination I could find no instance where I could improve the book." — H. Pat Goeters, Auburn, University, Alabama* Contains more than 200 illustrative examples discussed in detail, plus scores of numerical examples and applications* Chapters 1-8 can be used independently for an introductory course in probability* Provides a substantial number of proofs

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Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface
  7. Chapter 1: Some Motivating Examples and Some Fundamental Concepts
  8. Chapter 2: The Concept of Probability and Basic Results
  9. Chapter 3: Numerical Characteristics of a Random Variable, Some Special Random Variables
  10. Chapter 4: Joint and Conditional p.d.f.’s, Conditional Expectation and Variance, Moment Generating Function, Covariance, and Correlation Coefficient
  11. Chapter 5: Independence of Random Variables and Some Applications
  12. Chapter 6: Transformation of Random Variables
  13. Chapter 7: Some Modes of Convergence of Random Variables, Applications
  14. Chapter 8: An Overview of Statistical Inference
  15. Chapter 9: Point Estimation
  16. Chapter 10: Confidence Intervals and Confidence Regions
  17. Chapter 11: Testing Hypotheses
  18. Chapter 12: More About Testing Hypotheses
  19. Chapter 13: A Simple Linear Regression Model
  20. Chapter 14: Two Models of Analysis of Variance
  21. Chapter 15: Some Topics in Nonparametric Inference
  22. Appendix: Tables
  23. Some Notation and Abbreviations
  24. Answers to Even-Numbered Exercises
  25. INDEX
  26. Table of Selected Discrete and Continuous Distributions and Some of their Characteristics