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Characterizing Coxian Distributions of Algebraic Degree q and Triangular Order p

Authors: Mark Fackrell

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


Abstract
In this research note we present a procedure to characterize the set of all Coxian distributions of algebraic degree q that have Coxian representations of order p where p > q.

Cite as

Mark Fackrell. Characterizing Coxian Distributions of Algebraic Degree q and Triangular Order p. In Numerical Methods for Structured Markov Chains. Dagstuhl Seminar Proceedings, Volume 7461, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)


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@InProceedings{fackrell:DagSemProc.07461.4,
  author =	{Fackrell, Mark},
  title =	{{Characterizing Coxian Distributions of Algebraic Degree q and Triangular Order p}},
  booktitle =	{Numerical Methods for Structured Markov Chains},
  pages =	{1--10},
  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-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.07461.4},
  URN =		{urn:nbn:de:0030-drops-13916},
  doi =		{10.4230/DagSemProc.07461.4},
  annote =	{Keywords: Phase-type distribution, Coxian distribution, algebraic degree, triangular order, rational Laplace-Stieltjes transform}
}
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