Richard Serfozo

(Author)

Basics of Applied Stochastic Processes (2009)Paperback - 2009, 6 November 2014

Basics of Applied Stochastic Processes (2009)
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Part of Series
Probability and Its Applications
Print Length
443 pages
Language
English
Publisher
Springer PG
Date Published
6 Nov 2014
ISBN-10
3642430430
ISBN-13
9783642430435

Description

Stochastic processes are mathematical models of random phenomena that evolve according to prescribed dynamics. Processes commonly used in applications are Markov chains in discrete and continuous time, renewal and regenerative processes, Poisson processes, and Brownian motion. This volume gives an in-depth description of the structure and basic properties of these stochastic processes. A main focus is on equilibrium distributions, strong laws of large numbers, and ordinary and functional central limit theorems for cost and performance parameters. Although these results differ for various processes, they have a common trait of being limit theorems for processes with regenerative increments. Extensive examples and exercises show how to formulate stochastic models of systems as functions of a system's data and dynamics, and how to represent and analyze cost and performance measures. Topics include stochastic networks, spatial and space-time Poisson processes, queueing, reversible processes, simulation, Brownian approximations, and varied Markovian models.

The technical level of the volume is between that of introductory texts that focus on highlights of applied stochastic processes, and advanced texts that focus on theoretical aspects of processes.

Product Details

Author:
Richard Serfozo
Book Edition:
2009
Book Format:
Paperback
Country of Origin:
NL
Date Published:
6 November 2014
Dimensions:
23.39 x 15.6 x 2.36 cm
ISBN-10:
3642430430
ISBN-13:
9783642430435
Language:
English
Location:
Berlin, Heidelberg
Pages:
443
Publisher:
Weight:
639.56 gm

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