A Note on Unicyclic Representations of Phase Type Distributions

DOI10.1081/STM-200057131zbMath1070.60062OpenAlexW2091848330MaRDI QIDQ5462799

Qi-Ming He, Han-Qin Zhang

Publication date: 27 July 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-200057131

zbMATH Keywords

probability distributionmatrix analytic methods

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Eigenvalues, singular values, and eigenvectors (15A18) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (3)

A Markovian canonical form of second-order matrix-exponential processes ⋮ Coxian approximations of matrix-exponential distributions ⋮ On the Minimal Value in Maier's Property Concerning Phase-Type Distributions

Cites Work

• Unnamed Item
• Simultaneous equations models in applied search theory
• Phase-type distributions and invariant polytopes
• Characterization of phase-type distributions
• On non-uniqueness of representations of phase-type distributions
• A geometric interpretation of the relations between the exponential and generalized Erlang distributions
• Phase-type distributions: open problems and a few properties
• Triangular order of triangular phase-type distributions^∗
• Phase-type distributions and representations: Some results and open problems for system theory
• A generic property of phase-type representations
• An invariant of representations of phase-type distributions and some applications

This page was built for publication: A Note on Unicyclic Representations of Phase Type Distributions