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Wiley Ergodicity and Stability of Stochastic Processes - Wiley

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Description

This comprehensive text examines ergodicity and the stability of random processes, providing rigorous coverage of Markov chains in arbitrary state spaces, stochastic recursive sequences, and Markov chains in random environments alongside their continuous-time counterparts. The book offers in-depth analysis of vector-valued processes and demonstrates their practical applications in establishing ergodicity conditions within queueing and communication networks, including polling networks, Jackson networks, and multi-access networks associated with the ALOHA algorithm. Ideal for researchers, graduate students, and practitioners working in probability theory, applied mathematics, and network analysis, this Wiley-Blackwell publication serves as an essential reference for understanding complex stochastic behaviour and stability properties in theoretical and applied settings.

Key Features

The text covers Markov chains in arbitrary state space with rigorous mathematical treatment of ergodic properties and stability conditions.

Stochastic recursive sequences are analysed in detail, providing essential tools for understanding complex random process behaviour.

Continuous-time analogues of discrete processes are explored, extending the applicability to real-world dynamical systems.

Vector-valued processes receive special attention with applications to queueing networks, Jackson networks, and polling systems.

Published by Wiley-Blackwell as part of the Probability and Statistics series, ensuring peer-reviewed academic quality.

The ALOHA algorithm and multi-access network analysis provide practical context for theoretical ergodicity results.

Product Specifications

Brand
Wiley
Format
hardcover
Domain
Amazon UK
Release Date
29 July 1998
Listed Since
13 February 2007

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No barcode data available

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