Probability and Mathematical Statistics. An Introduction
โ Scribed by Eugene Lukacs (Auth.)
- Publisher
- Elsevier Inc, Academic Press
- Year
- 1972
- Tongue
- English
- Leaves
- 237
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Pages ix-x
Introduction, Pages 1-4
1 - The Probability Space, Pages 7-18
2 - Elementary Properties of Probability Spaces, Pages 19-36
3 - Random Variables and Their Probability Distributions, Pages 37-69
4 - Typical Values, Pages 71-103
5 - Limit Theorems, Pages 105-117
6 - Some Important Distributions, Pages 119-134
INTRODUCTION TO MATHEMATICAL STATISTICS, Pages 135-136
8 - Sampling, Pages 137-152
8 - Estimation, Pages 153-173
9 - Testing Hypotheses, Pages 175-197
A - Some Combinatorial Formulas, Pages 199-204
B - The Gamma Function, Pages 205-206
C - Proof of the Central Limit Theorem, Pages 207-218
D - Tables, Pages 219-225
Answers to Selected Problems, Pages 227-235
Index, Pages 237-242
๐ SIMILAR VOLUMES
I used this book in one of my advanced probability courses, and it helped me to improve my understanding of the theory behind probability. It definitely requires a background in probability and as the author says it's not a "cookbook", but a mathematics text. The authors develop the theory based on
The second edition of a well-received book that was published 24 years ago and continues to sell to this day, An Introduction to Probability and Statistics is now revised to incorporate new information as well as substantial updates of existing material.