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Phase Type Distributions : Theory and Application by András Horváth and Miklós Telek (2024, Hardcover)

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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.

About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-101848219458

ISBN-139781848219458

eBay Product ID (ePID)228961274

Product Key Features

Number of Pages288 Pages

Publication NamePhase Type Distributions : Theory and Application

LanguageEnglish

SubjectApplied

Publication Year2024

TypeTextbook

AuthorAndrás Horváth, Miklós Telek

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height0.7 in

Item Weight18.1 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

Volume NumberVol. 2

Dewey Decimal519.23

SynopsisPhase 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., The topic of the book is phase type distributions that have been recognized as an important tool in the quantitative analysis of systems (such as communication networks, logistic networks, manufacturing plants, etc.). The book provides up-to-date and comprehensive guide to phase type distributions. The complete theoretical background, including definitions and characteristics of phase type distributions, is provided in a way that is accessible to a wide range of readers. Throughout the book, theory is accompanied by detailed application examples that illustrate the practical usage of phase type distributions. The application examples are developed using a software tool, called BuTools, which is freely available for all interested readers.