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Robert Bartoszynski
Probability and Statistical Inference
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Страница 1
Table of Contents
List of Tables
List of Illustrations
Guide
Pages
Wiley Series in Probability and Statistics
Probability and Statistical Inference
Страница 9
Страница 10
Preface to Third Edition
Preface to Second Edition
About the Companion Website
Chapter 1 Experiments, Sample Spaces, and Events 1.1 Introduction
1.2 Sample Space
Example 1.1
Example 1.2
Example 1.3
Example 1.4
Example 1.5
Example 1.6
Example 1.7
Example 1.8 Selection
Example 1.9 Randomized Response
Problems
1.3 Algebra of Events
Example 1.10
Example 1.11
*
2
Example 1.12
Example 1.13
Example 1.14
Example 1.15
Problems
1.4 Infinite Operations on Events
Example 1.16
Example 1.17
Example 1.18
Example 1.19
Example 1.20
Example 1.21
Example 1.22
Problems
Notes
Chapter 2 Probability
2.1 Introduction
2.2 Probability as a Frequency
2.3 Axioms of Probability
Example 2.1 Geometric Probability
Example 2.2 Bertrand's Paradox
Solution 1
Solution 2
Solution 3
Example 2.3
Problems
2.4 Consequences of the Axioms
Example 2.5
Solution
Problems
2.5 Classical Probability
Example 2.6
Solution
Problems
2.6 Necessity of the Axioms*
Example 2.7 Densities
2.7 Subjective Probability*
Problems
Note
Chapter 3 Counting 3.1 Introduction
3.2 Product Sets, Orderings, and Permutations
Example 3.1 Cartesian Products
Example 3.2
Example 3.3 License Plates
Solution
Example 3.4
Solution
Example 3.5 Birthday Problem
Solution
Problems
3.3 Binomial Coefficients
Example 3.6
Corollary 3.3.6
Example 3.7
Solution
Example 3.8
Example 3.9
Example 3.10
Solution
Example 3.11 Matching Problem
Solution
Example 3.12 Ballot Problem
Solution
Example 3.13 Poker
Problems
3.4 Multinomial Coefficients
Example 3.14
Example 3.15
Solution
Problems
Notes
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