Current results and open questions on PH and MAP characterization

Authors Levente Bodrog, Armin Heindl, Gábor Horváth, Miklós Telek, András Horváth



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Levente Bodrog
Armin Heindl
Gábor Horváth
Miklós Telek
András Horváth

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Levente Bodrog, Armin Heindl, Gábor Horváth, Miklós Telek, and András Horváth. Current results and open questions on PH and MAP characterization. In Numerical Methods for Structured Markov Chains. Dagstuhl Seminar Proceedings, Volume 7461, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/DagSemProc.07461.5

Abstract

Stochastic processes with matrix exponential kernels have a wide range of applications due to the availability of efficient matrix analytic methods. The characterization of these processes is in progress in recent years. Basic questions like the flexibility, the degree of freedom, the most efficient (canonical) representation of these models are under study. The presentation collects a set of available results and related open questions.
Keywords
  • PH distribution
  • ME distribution
  • MAP
  • MEP

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