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Current results and open questions on PH and MAP characterization

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

Published in: Dagstuhl Seminar Proceedings, Volume 7461, Numerical Methods for Structured Markov Chains (2008)

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.

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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)

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@InProceedings{bodrog_et_al:DagSemProc.07461.5,
  author =	{Bodrog, Levente and Heindl, Armin and Horv\'{a}th, G\'{a}bor and Telek, Mikl\'{o}s and Horv\'{a}th, Andr\'{a}s},
  title =	{{Current results and open questions on PH and MAP characterization}},
  booktitle =	{Numerical Methods for Structured Markov Chains},
  pages =	{1--6},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{7461},
  editor =	{Dario Bini and Beatrice Meini and Vaidyanathan Ramaswami and Marie-Ange Remiche and Peter Taylor},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07461.5},
  URN =		{urn:nbn:de:0030-drops-14010},
  doi =		{10.4230/DagSemProc.07461.5},
  annote =	{Keywords: PH distribution, ME distribution, MAP, MEP}
}

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Current results and open questions on PH and MAP characterization

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