Purchase textbook

An Introduction to Probability and Statistical Inference,

Edition 3

Editors: By George G. Roussas

Publication Date: 22 May 2024

Educator resources

0 Reviews

Conformance

PDF/UA-1
The publication was certified on 20250728
For queries regarding accessibility information, contact [email protected]

Ways Of Reading

This e-publication is accessible to the full extent that the file format and types of content allow, on a specific reading device, by default, without necessarily including any additions such as textual descriptions of images or enhanced navigation.

Navigation

The contents of the PDF have been tagged to permit access by assistive technologies as per PDF-UA-1 standard.
Page breaks included from the original print source

Additional Accessibility Information

The language of the text has been specified (e.g., via the HTML or XML lang attribute) to optimise text-to-speech (and other alternative renderings), both at the whole document level and, where appropriate, for individual words, phrases or passages in a different language.

Note

This product relies on 3rd party tooling which may impact the accessibility features visible in inspection copies. All accessibility features mentioned would be present in the purchased version of the title.

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.

Key Features

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

About the author

By George G. Roussas, University of California, Davis, USA

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

Book Reviews

"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

ISBN: 9780443187209

Page Count: 664

Retail Price :

9780321500465

Access to teacher/student resources is available to registered users with approved inspection copies or confirmed adoptions. To review this material, please request an inspection copy.

Solutions Manual.pdf

Advanced students taking courses on Probability & Statistical Inference Researchers and academics across math, engineering, physical and life sciences, who require advanced coverage on the subject