Schaum's Outline Of Probability, Random Variables, And Random Processes, Fourth Edition

By (author) Hsu, Hwei
Description
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Table of contents
Preface to The Second Edition
Preface to The First Edition
Contents
CHAPTER 1 Probability
1.1 Introduction
1.2 Sample Space and Events
1.3 Algebra of Sets
1.4 Probability Space
1.5 Equally Likely Events
1.6 Conditional Probability
1.7 Total Probability
1.8 Independent Events
Solved Problems
CHAPTER 2 Random Variables
2.1 Introduction
2.2 Random Variables
2.3 Distribution Functions
2.4 Discrete Random Variables and Probability Mass Functions
2.5 Continuous Random Variables and Probability Density Functions
2.6 Mean and Variance
2.7 Some Special Distributions
2.8 Conditional Distributions
Solved Problems
CHAPTER 3 Multiple Random Variables
3.1 Introduction
3.2 Bivariate Random Variables
3.3 Joint Distribution Functions
3.4 Discrete Random Variables—Joint Probability Mass Functions
3.5 Continuous Random Variables—Joint Probability Density Functions
3.6 Conditional Distributions
3.7 Covariance and Correlation Coefficient
3.8 Conditional Means and Conditional Variances
3.9 N-Variate Random Variables
3.10 Special Distributions
Solved Problems
CHAPTER 4 Functions of Random Variables, Expectation, Limit Theorems
4.1 Introduction
4.2 Functions of One Random Variable
4.3 Functions of Two Random Variables
4.4 Functions of n Random Variables
4.5 Expectation
4.6 Probability Generating Functions
4.7 Moment Generating Functions
4.8 Characteristic Functions
4.9 The Laws of Large Numbers and the Central Limit Theorem
Solved Problems
CHAPTER 5 Random Processes
5.1 Introduction
5.2 Random Processes
5.3 Characterization of Random Processes