Phase Type Distributions: Theory and Application

di András Horváth (Autore)

Miklós Telek (Autore)

ISTE Ltd and John Wiley & Sons Inc, 2024

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.

• Autore: András Horváth, Miklós Telek
• Editore: ISTE Ltd and John Wiley & Sons Inc
• Anno: 2024
• Rilegatura: Hardback
• Pagine: 288 p.
• Peso: 671 gr.
• EAN: 9781848219458

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