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Markov Processes for Stochastic Modeling by Masaaki Kijima (English) Hardcover B

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
ISBN-13
9780412606601
Book Title
Markov Processes for Stochastic Modeling
ISBN
9780412606601
Publication Name
Markov Processes for Stochastic Modeling
Item Length
9.7in
Publisher
Springer
Publication Year
1997
Series
Stochastic Modeling Ser.
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.7in
Author
Masaaki Kijima
Item Width
6.9in
Item Weight
19 Oz
Number of Pages
X, 341 Pages

About this product

Product Information

This book presents an algebraic development of the theory of countable state space Markov chains with discrete and continuous time parameters. It emphasizes time-dependent behavior, including first passage times of Markov chains, and provides numerous examples from queueing, reliability, and other models.

Product Identifiers

Publisher
Springer
ISBN-10
0412606607
ISBN-13
9780412606601
eBay Product ID (ePID)
998626

Product Key Features

Author
Masaaki Kijima
Publication Name
Markov Processes for Stochastic Modeling
Format
Trade Paperback
Language
English
Publication Year
1997
Series
Stochastic Modeling Ser.
Type
Textbook
Number of Pages
X, 341 Pages

Dimensions

Item Length
9.7in
Item Height
0.7in
Item Width
6.9in
Item Weight
19 Oz

Additional Product Features

Series Volume Number
6
Number of Volumes
1 Vol.
Lc Classification Number
Qa1-939
Table of Content
Introduction: Stochastic processes; the Markov property; some examples; transition probabilities; the strong Markov property; exercises. Discrete-time Markov chains: First time passages; classification of states; recurrent Markov chains; finite Markov chains; time-reversable Markov chains; the rate of convergence to stationary; absorbing Markov chanins and their applications; Lossy Markov chains; exercises. Monotone Markov chains: Preliminaries; distribution classes of interest; stochastic ordering relations; monotone Markov chains; unimodality of transition probabilities; first-passage-time distributions; bounds for quasi-stationary distributions; renewal processes in discrete time; comparability of Markov chains; exercises. Continuous-time Markov chains: transition probability functions; finite Markov chains in continuous time; uniformization; more on finite Markov chains; absorbing Markov chains in continuous time; calculation of transition probability functions; stochastic monotonicity; semi-Markov processes; exercises. Birth-death processes: Boundary classifications; birth-death polynomials; finite birth-death processes; the Karlin-McGregor representation theorem; asymptotics of birth-death polynomials; quasi-stationary distributions; the decay parameter; the M/M/1 queue; exercises. Appendix A Review of matrix theory: Nonnegative matrices; ML-matrices; infinite matrices. Appendix B Generating functions and Laplace transforms: Generating functions; Laplace transforms. Appendix C Total positivity: TP functions; the variation-diminishing property.
Copyright Date
1997
Topic
Probability & Statistics / Stochastic Processes, Computer Science, General
Lccn
96-086521
Dewey Decimal
519.5/42
Intended Audience
Scholarly & Professional
Dewey Edition
20
Illustrated
Yes
Genre
Computers, Mathematics

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