Phase Type Distributions: Theory and Application - Hardcover

Horváth, András; Telek, Miklós

 
9781848219458: Phase Type Distributions: Theory and Application
Hardcover
ISBN 10: 1848219458 ISBN 13: 9781848219458
Publisher: Wiley-ISTE, 2024

Synopsis

Phase type distributions are widely applicable modeling and statistical tools for non-negative random quantities. They are built on Markov chains, which provide a simple, intuitive stochastic interpretation for their use. Phase Type Distribution starts from the Markov chain-based definition of phase type distributions and presents many interesting properties, which follow from the basic definition.

As a general family of non-negative distributions with nice analytical properties, phase type distributions can be used for approximating experimental distributions by fitting or by moments matching; and, for discrete event simulation of real word systems with stochastic timing, such as production systems, service operations, communication networks, etc. This book summarizes the up-to-date fitting, matching and simulation methods, and presents the limits of flexibility of phase type distributions of a given order.

Additionally, this book lists numerical examples that support the intuitive understanding of the analytical descriptions and software tools that handle phase type distributions.

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About the Author

András Horváth is Associate Professor at the University of Turin, Italy. His research interests include analysis and optimization of stochastic models with applications in production systems, service operations, communication networks and systems biology.

Miklós Telek is a professor in the Department of Networked Systems and Services at Budapest University of Technology and Economics, Hungary, where he currently heads the Information Systems Research Group of the Hungarian Research Network. His research interests include stochastic performance modeling, analysis and optimization of computer and communication systems.

"About this title" may belong to another edition of this title.

Publisher
Wiley-ISTE
Publication date
2024
Language
English
ISBN 10 
1848219458
ISBN 13 
9781848219458
Binding
Hardcover
Edition number
1
Number of pages
288