Book description
The longawaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to realworld problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for selfstudy.
 Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings
 Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8)
 Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts.
 Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright
 Acknowledgment
 Preface to the Second Edition
 Preface to First Edition

Chapter 1: Basic Probability Concepts
 Abstract
 1.1 Introduction
 1.2 Sample Space and Events
 1.3 Definitions of Probability
 1.4 Applications of Probability
 1.5 Elementary Set Theory
 1.6 Properties of Probability
 1.7 Conditional Probability
 1.8 Independent Events
 1.9 Combined Experiments
 1.10 Basic Combinatorial Analysis
 1.11 Reliability Applications
 1.12 Chapter Summary
 1.13 Problems
 Chapter 2: Random Variables
 Chapter 3: Moments of Random Variables

Chapter 4: Special Probability Distributions
 Abstract
 4.1 Introduction
 4.2 The Bernoulli Trial and Bernoulli Distribution
 4.3 Binomial Distribution
 4.4 Geometric Distribution
 4.5 Pascal Distribution
 4.6 Hypergeometric Distribution
 4.7 Poisson Distribution
 4.8 Exponential Distribution
 4.9 Erlang Distribution
 4.10 Uniform Distribution
 4.11 Normal Distribution
 4.12 The Hazard Function
 4.13 Truncated Probability Distributions
 4.14 Chapter Summary
 4.15 Problems

Chapter 5: Multiple Random Variables
 Abstract
 5.1 Introduction
 5.2 Joint CDFs of Bivariate Random Variables
 5.3 Discrete Bivariate Random Variables
 5.4 Continuous Bivariate Random Variables
 5.5 Determining Probabilities from a Joint CDF
 5.6 Conditional Distributions
 5.7 Covariance and Correlation Coefficient
 5.8 Multivariate Random Variables
 5.9 Multinomial Distributions
 5.10 Chapter Summary
 5.11 Problems

Chapter 6: Functions of Random Variables
 Abstract
 6.1 Introduction
 6.2 Functions of One Random Variable
 6.3 Expectation of a Function of One Random Variable
 6.4 Sums of Independent Random Variables
 6.5 Minimum of Two Independent Random Variables
 6.6 Maximum of Two Independent Random Variables
 6.7 Comparison of the Interconnection Models
 6.8 Two Functions of Two Random Variables
 6.9 Laws of Large Numbers
 6.10 The Central Limit Theorem
 6.11 Order Statistics
 6.12 Chapter Summary
 6.13 Problems
 Chapter 7: Transform Methods
 Chapter 8: Introduction to Descriptive Statistics
 Chapter 9: Introduction to Inferential Statistics

Chapter 10: Introduction to Random Processes
 Abstract
 10.1 Introduction
 10.2 Classification of Random Processes
 10.3 Characterizing a Random Process
 10.4 Crosscorrelation and Crosscovariance Functions
 10.5 Stationary Random Processes
 10.6 Ergodic Random Processes
 10.7 Power Spectral Density
 10.8 DiscreteTime Random Processes
 10.9 Chapter Summary
 10.10 Problems
 Chapter 11: Linear Systems with Random Inputs
 Chapter 12: Special Random Processes
 Appendix: Table of CDF of the Standard Normal Random Variable
 Bibliography
 Index
Product information
 Title: Fundamentals of Applied Probability and Random Processes, 2nd Edition
 Author(s):
 Release date: June 2014
 Publisher(s): Academic Press
 ISBN: 9780128010358
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