http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
1 online resource (x, 399 pages) : illustrations
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
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Includes bibliographical references (pages 387-388) and index.