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An Introduction to Probability and Statistical Inference

Autor George G. Roussas
en Limba Engleză Paperback – 22 mai 2024
An Introduction to Probability and Statistical Inference, Third Edition guides the reader through probability models and statistical methods to develop critical-thinking skills. Written by award-winning author George Roussas, this valuable text introduces a thinking process to help users obtain the best solution to a posed question or situation and provides a plethora of examples and exercises to illustrate applying statistical methods to different situations.

  • Offers a relatively rigorous, yet accessible, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines
  • Includes relevant proofs and exercises with useful hints to their solutions
  • Provides brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises available to qualified instructors in the Solutions Manual
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Specificații

ISBN-13: 9780443187209
ISBN-10: 0443187207
Pagini: 664
Dimensiuni: 191 x 235 mm
Ediția:3
Editura: ELSEVIER SCIENCE

Cuprins

1. Some Motivating Examples and Some Fundamental Concepts
2. The Concept of Probability and Some Basic Results
3. Numerical Characteristics of a Random Variable, Some Special Random Variables
4. Joint and Conditional p.d.f.'s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient
5. Independence of Random Variables and Some Applications
6. Transformation of Random Variables
7. Some Modes of Convergence of Random Variables, Applications
8. An Overview of Statistical Inference
9. Point Estimation
10. Confidence Intervals and Confidence Regions
11. Testing Hypotheses
12. More About Testing Hypotheses
13. A Simple Linear Regression Model
14. Two Models of Analysis of Variance
15. Some Topics in Nonparametric Inference
16. Appendix

Recenzii

"The present book is an introductory textbook in probability and statistical inference with a year of calculus and basics of linear algebra as the only prerequisites…. Occasionally, the reader is referred to the above-mentioned textbook for proofs and more comprehensive treatment of some topics. As the author states, the first 7 chapters can be used independently for an introductory probability course." --Andreas N. Philippou, zbMATHOpen