確率と統計学的推論入門（テキスト・第３版） An Introduction to Probability and Statistical Inference （3RD）

Roussas, George G.

Academic Press Inc（2024/05発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 664 p.
• 言語 ENG
• 商品コード 9780443187209
• DDC分類 519.2

Full Description

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.

Contents

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