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Probability and Statistics with Reliability, Queuing, and Computer Science Applications

ISBN-10: 0471333417
ISBN-13: 9780471333418
Edition: 2nd 2002 (Revised)
List price: $191.00 Buy it from $24.35
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Description: This text relates fundamental concepts in probability and statistics to the computer sciences. It uses Markov chains and other statistical tools to illustrate processes such as reliability of computer systems and fault tolerance.

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Book details

List price: $191.00
Edition: 2nd
Copyright year: 2002
Publisher: John Wiley & Sons, Incorporated
Publication date: 11/28/2001
Binding: Hardcover
Pages: 848
Size: 6.50" wide x 9.25" long x 1.75" tall
Weight: 3.234

This text relates fundamental concepts in probability and statistics to the computer sciences. It uses Markov chains and other statistical tools to illustrate processes such as reliability of computer systems and fault tolerance.

Preface to the Second Edition
Preface to the First Edition
Acronyms
Introduction
Motivation
Probability Models
Sample Space
Events
Algebra of Events
Graphical Methods of Representing Events
Probability Axioms
Combinatorial Problems
Conditional Probability
Independence of Events
Bayes' Rule
Bernoulli Trials
Discrete Random Variables
Introduction
Random Variables and Their Event Spaces
The Probability Mass Function
Distribution Functions
Special Discrete Distributions
Analysis of Program MAX
The Probability Generating Function
Discrete Random Vectors
Independent Random Variables
Continuous Random Variables
Introduction
The Exponential Distribution
The Reliability and Failure Rate
Some Important Distributions
Functions of a Random Variable
Jointly Distributed Random Variables
Order Statistics
Distribution of Sums
Functions of Normal Random Variables
Expectation
Introduction
Moments
Expectation Based on Multiple Random Variables
Transform Methods
Moments and Transforms of Some Distributions
Computation of Mean Time to Failure
Inequalities and Limit Theorems
Conditional Distribution and Expectation
Introduction
Mixture Distributions
Conditional Expectation
Impefect Fault Coverage and Reliability
Random Sums
Stochastic Processes
Introduction
Classification of Stochastic Processes
The Bernoulli Process
The Poisson Process
Renewal Processes
Availability Analysis
Random Incidence
Renewal Model of Program Behavior
Discrete-Time Markov Chains
Introduction
Computation of n-step Transition Probabilities
State Classification and Limiting Probabilities
Distribution of Times Between State Changes
Markov Modulated Bernoulli Process
Irreducible Finite Chains with Aperiodic States
* The M/G/1 Queuing System
Discrete-Time Birth-Death Processes
Finite Markov Chains with Absorbing States
Continuous-Time Markov Chains
Introduction
The Birth-Death Process
Other Special Cases of the Birth-Death Model
Non-Birth-Death Processes
Markov Chains with Absorbing States
Solution Techniques
Automated Generation
Networks of Queues
Introduction
Open Queuing Networks
Closed Queuing Networks
General Service Distribution and Multiple Job Types
Non-product-form Networks
Computing Response Time Distribution
Summary
Statistical Inference
Introduction
Parameter Estimation
Hypothesis Testing
Regression and Analysis of Variance
Introduction
Least-squares Curve Fitting
The Coefficients of Determination
Confidence Intervals in Linear Regression
Trend Detection and Slope Estimation
Correlation Analysis
Simple Nonlinear Regression
Higher-dimensional Least-squares Fit
Analysis of Variance
Bibliography
Theory
Applications
Properties of Distributions
Statistical Tables
Laplace Transforms
Program Performance Analysis
Author Index
Subject Index

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