Probability, statistics, and queueing theory
Subtitle: with computer science applications
By: Arnold O. Allen.
Edition: 2nd ed.
Series: Computer science and scientific computing
Publisher: Academic Press; Harcourt Brace Jovanovich
Published: 1990
Place of publication: Boston
Language: eng
Number of pages: 740
Subjects: Probabilities.; Queuing theory.; Mathematical statistics.
Notes: Includes bibliographical references and index.
Table of contents: title: Preface
pagenum: xi; title: Acknowledgments
pagenum: xix; label: Chapter 1
title: Introduction
pagenum: 1; label: Part One
title: Probability; title: Preface to Part One: Probability
pagenum: 7; label: Chapter 2
title: Probability and Random Variables
pagenum: 9; label: 2.0
title: Introduction
pagenum: 9; label: 2.1
title: Sample Spaces and Events
pagenum: 10; label: 2.2
title: Probability Measures
pagenum: 15; label: 2.3
title: Combinatorial Analysis
pagenum: 20; label: 2.4
title: Conditional Probability
pagenum: 24; label: 2.5
title: Random Variables
pagenum: 34; label: 2.6
title: Parameters of Random Variables
pagenum: 40; label: 2.7
title: Jointly Distributed Random Variables
pagenum: 46; label: 2.8
title: Conditional Expectation
pagenum: 60; label: 2.9
title: Transform Methods
pagenum: 67; label: 2.10
title: Inequalities
pagenum: 76; label: 2.11
title: Exercises
pagenum: 86; title: References
pagenum: 106; label: Chapter 3
title: Probability Distributions
pagenum: 109; label: 3.0
title: Introduction
pagenum: 109; label: 3.1
title: Discrete Random Variables
pagenum: 110; label: 3.2
title: Continuous Random Variables
pagenum: 121; label: 3.3
title: Central Limit Theorem
pagenum: 158; label: 3.4
title: Applied Transforms
pagenum: 164; label: 3.5
title: Summary
pagenum: 177; label: 3.6
title: Exercises
pagenum: 179; title: References
pagenum: 196; label: Chapter 4
title: Stochastic Processes
pagenum: 199; label: 4.0
title: Introduction
pagenum: 199; label: 4.1
title: Definitions
pagenum: 200; label: 4.2
title: The Poisson Process
pagenum: 204; label: 4.3
title: Birth-and-Death Process
pagenum: 209; label: 4.4
title: Markov Chains
pagenum: 219; label: 4.5
title: Renewal Theory
pagenum: 234; label: 4.6
title: Exercises
pagenum: 238; title: References
pagenum: 240; label: Part Two
title: Queueing Theory; title: Preface to Part Two: Queueing Theory
pagenum: 245; label: Chapter 5
title: Queueing Theory
pagenum: 247; label: 5.0
title: Introduction
pagenum: 247; label: 5.1
title: Describing a Queueing System
pagenum: 251; label: 5.2
title: Birth-and-Death Process Models
pagenum: 261; label: 5.3
title: Embedded Markov Chain Systems
pagenum: 301; label: 5.4
title: Priority Queueing Systems
pagenum: 324; label: 5.5
title: Bounds and Approximations
pagenum: 336; label: 5.6
title: Summary
pagenum: 342; label: 5.7
title: Exercises
pagenum: 342; title: References
pagenum: 370; label: Chapter 6
title: Queueing Models of Computer Systems
pagenum: 377; label: 6.0
title: Introduction
pagenum: 377; label: 6.1
title: Finite Population Models
pagenum: 381; label: 6.2
title: Jackson Networks
pagenum: 386; label: 6.3
title: BCMP Queueing Networks
pagenum: 400; label: 6.4
title: Summary
pagenum: 417; label: 6.5
title: Exercises
pagenum: 417; title: References
pagenum: 420; label: Part Three
title: Statistical Inference; title: Preface to Part Three: Statistical Inference
pagenum: 425; label: Chapter 7
title: Estimation and Data Analysis
pagenum: 429; label: 7.0
title: Introduction
pagenum: 429; label: 7.1
title: Estimators
pagenum: 431; label: 7.2
title: Confidence Intervals
pagenum: 442; label: 7.3
title: Exploratory Data Analysis
pagenum: 450; label: 7.4
title: Exercises
pagenum: 477; title: References
pagenum: 480; label: Chapter 8
title: Hypothesis Testing
pagenum: 483; label: 8.0
title: Introduction
pagenum: 483; label: 8.1
title: Hypothesis Test Procedure
pagenum: 484; label: 8.2
title: Tests of Means
pagenum: 489; label: 8.3
title: Tests of Variances
pagenum: 501; label: 8.4
title: Bernoulli Tests
pagenum: 506; label: 8.5
title: Chi-Square Tests
pagenum: 515; label: 8.6
title: EDF Tests
pagenum: 524; label: 8.7
title: Analysis of Variance
pagenum: 534; label: 8.8
title: Nonparametric Tests
pagenum: 539; label: 8.9
title: Summary Table
pagenum: 546; label: 8.10
title: Exercises
pagenum: 548; title: References
pagenum: 551; label: Chapter 9
title: Regression and Correlation Analysis
pagenum: 555; label: 9.0
title: Introduction
pagenum: 555; label: 9.1
title: Simple Linear Regression
pagenum: 557; label: 9.2
title: Nonlinear Regression
pagenum: 584; label: 9.3
title: Multiple Linear Regression
pagenum: 588; label: 9.4
title: Exercises
pagenum: 610; title: References
pagenum: 616; label: Appendix A
title: Statistical Tables
pagenum: 619; label: Appendix B
title: APL Programs
pagenum: 639; label: Appendix C
title: Queueing Theory Formulas
pagenum: 665; label: Appendix D
title: Mathematica Programs
pagenum: 715; label: Appendix E
title: Answers to Exercises
pagenum: 721; title: Index
pagenum: 731