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Introduction to probability models / Sheldon M. Ross

データ種別 電子ブック
版 9th ed
出版者 Amsterdam ; Boston : Academic Press
出版年 c2007
本文言語 英語
大きさ 1 online resource (xviii, 782 pages) : illustrations

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URL 電子ブック


EB0133058

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内容注記 Cover
Title page
Copyright page
Contents
Preface
Chapter 1. Introduction to Probability Theory
1.1. Introduction
1.2. Sample Space and Events
1.3. Probabilities Defined on Events
1.4. Conditional Probabilities
1.5. Independent Events
1.6. Bayes' Formula
Exercises
References
Chapter 2. Random Variables
2.1. Random Variables
2.2. Discrete Random Variables
2.3. Continuous Random Variables
2.4. Expectation of a Random Variable
2.5. Jointly Distributed Random Variables
2.6. Moment Generating Functions
2.7. Limit Theorems
2.8. Stochastic Processes
Exercises
References
Chapter 3. Conditional Probability and Conditional Expectation
3.1. Introduction
3.2. The Discrete Case
3.3. The Continuous Case
3.4. Computing Expectations by Conditioning
3.5. Computing Probabilities by Conditioning
3.6. Some Applications
3.7. An Identity for Compound Random Variables
Exercises
Chapter 4. Markov Chains
4.1. Introduction
4.2. Chapman-Kolmogorov Equations
4.3. Classification of States
4.4. Limiting Probabilities
4.5. Some Applications
4.6. Mean Time Spent in Transient States
4.7. Branching Processes
4.8. Time Reversible Markov Chains
4.9. Markov Chain Monte Carlo Methods
4.10. Markov Decision Processes
4.11. Hidden Markov Chains
Exercises
References
Chapter 5. The Exponential Distribution and the Poisson Process
5.1. Introduction
5.2. The Exponential Distribution
5.3. The Poisson Process
5.4. Generalizations of the Poisson Process
Exercises
References
Chapter 6. Continuous-Time Markov Chains
6.1. Introduction
6.2. Continuous-Time Markov Chains
6.3. Birth and Death Processes
6.4. The Transition Probability Function Pij(t)
6.5. Limiting Probabilities
6.6. Time Reversibility
6.7. Uniformization
6.8. Computing the Transition Probabilities
Exercises
References
Chapter 7. Renewal Theory and Its Applications
7.1. Introduction
7.2. Distribution of N(t)
7.3. Limit Theorems and Their Applications
7.4. Renewal Reward Processes
7.5. Regenerative Processes
7.6. Semi-Markov Processes
7.7. The Inspection Paradox
7.8. Computing the Renewal Function
7.9. Applications to Patterns
7.10. The Insurance Ruin Problem
Exercises
References
Chapter 8. Queueing Theory
8.1. Introduction
8.2. Preliminaries
8.3. Exponential Models
8.4. Network of Queues
8.5. The System M/G/1
8.6. Variations on the M/G/1
8.7. The Model G/M/1
8.8. A Finite Source Model
8.9. Multiserver Queues
Exercises
References
Chapter 9. Reliability Theory
9.1. Introduction
9.2. Structur
一般注記 Includes bibliographical references and index
著者標目 *Ross, Sheldon M.
件　名 LCSH:Probabilities
FREE:Probabilidades
FREE:MATHEMATICS -- Probability & Statistics -- General  全ての件名で検索
FREE:Probabilities
FREE:Waarschijnlijkheidstheorie
FREE:Toepassingen
FREE:Mathematisches Modell
FREE:Wahrscheinlichkeitsrechnung
FREE:Electronic books
分　類 DC22:519.2
巻冊次 ISBN:9780080467825 REFWLINK
ISBN:0080467822 REFWLINK
ISBN:9780125980623 REFWLINK
ISBN:0125980620 REFWLINK
ISBN:9780123736352 REFWLINK
ISBN:0123736358 REFWLINK
ISBN 9780080467825
URL http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=185760
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