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An introduction to stochastic modeling /
An Introduction to Stochastic Modeling.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Orlando :
Academic Press,
�1984.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; An Introduction to Stochastic Modeling; Copyright Page; Table of Contents; Prefac; Chapter 1. Introduction; 1.1 Stochastic Modeling; 1.2 Probability Review; 1.3 The Major Discrete Distributions; 1.4 Important Continuous Distributions; 1.5 Some Elementary Exercises; 1.6 Useful Functions, Integrals, and Sums; Chapter 2. Conditional Probability and Conditional Expectation; 2.1 The Discrete Case; 2.2 The Dice Game Craps; 2.3 Random Sums; 2.4 Conditioning on a Continuous Random Variable; Chapter 3. Markov Chains: Introduction; 3.1 Definitions
- 3.2 Transition Probability Matrices of a Marlcov Chain3.3 Some Markov Chain Models; 3.4 First Step Analysis; 3.5 Some Special Markov Chains; 3.6 Functionals of Random Walks and Success Runs; 3.7 Another Look at First Step Analysis; Chapter 4. The Long Run Behavior of Markov Chains; 4.1 Regular Transition Probability Matrices; 4.2 Examples; 4.3 The Classification of States; 4.4 The Basic Limit Theorem of Markov Chains; 4.5 Reducible Markov Chains; 4.6 Sequential Decisions and Markov Chains; Chapter 5. Poisson Processes; 5.1 The Poisson Distribution and the Poisson Process
- 5.2 The Law of Rare Events5.3 Distributions Associated with the Poisson Process; 5.4 The Uniform Distribution and Poisson Processes; 5.5 Spatial Poisson Processes; 5.6 Compound and Marked Poisson Processes; Chapter 6. Continuous Time Markov Chains; 6.1 Pure Birth Processes; 6.2 Pure Death Processes; 6.3 Birth and Death Processes; 6.4 The Limiting Behavior of Birth and Death Processes; 6.5 Birth and Death Processes with Absorbing States; 6.6 Finite State Continuous Time Markov Chains; 6.7 Set Valued Processes; Chapter 7. Renewal Phenomena
- 7.1 Definition of a Renewal Process and Related Concepts7.2 Some Examples of Renewal Processes; 7.3 The Poisson Process Viewed as a Renewal Process; 7.4 The Asymptotic Behavior of Renewal Processes; 7.5 Generalizations and Variations on Renewal Processes; 7.6 Discrete Renewal Theory; Chapter 8. Branching Processes and Population Growth; 8.1 Branching Processes; 8.2 Branching Processes and Generating Functions; 8.3 Geometrically Distributed Offspring; 8.4 Variations on Branching Processes; 8.5 Some Stochastic Models of Plasmid Reproduction and Plasmid Copy Number Partition