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.
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EAN: 9783642430435
UPC: 9783642430435
ISBN: 9783642430435
MPN: N/A
Recommended Age Range: 0-12 months
Item Length: 23.4 cm
Number of Pages: 443 Pages
Language: English
Publication Name: Basics of Applied Stochastic Processes
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Publication Year: 2014
Subject: Engineering & Technology, Mathematics
Item Height: 235 mm
Item Weight: 700 g
Type: Textbook
Author: Richard Serfozo
Item Width: 155 mm
Format: Paperback