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Original Articles

Matching More Than Three Moments with Acyclic Phase Type Distributions

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Pages 167-194 | Received 01 Jun 2005, Accepted 01 Jan 2007, Published online: 26 Aug 2010

REFERENCES

  • Asmussen , S. ; Nerman , O. Fitting phase-type distributions via the EM algorithm . In Proceedings: Symposium i Advent Statistik , Copenhagen , 1991 , 335 – 346 .
  • Bobbio , A. ; Horváth , A. ; Telek , M. Matching three moments with minimal acyclic phase type distributions . Stochastic Models 2005 , 21 , 303 – 326 .
  • Cumani , A. On the canonical representation of homogeneous Markov processes modelling failure-time distributions . Microelectronics and Reliability 1982 , 22 , 583 – 602 .
  • Fackrell , M. Characterization of Matrix-Exponential Distributions . PhD thesis , The University of Adelaide, School of Applied Mathematics , 2003 .
  • Horváth , A. ; Telek , M. PhFit: A general purpose phase type fitting tool . In Tools 2002 ; Springer : New York , 2002 , 82 – 91 .
  • Lang , A. ; Arthur , J.L. Parameter approximation for phase-type distributions . In Matrix-Analytic Methods in Stochastic Models ; Lecture Notes in Pure and Applied Mathematics . Chakravarty , S.R. ; Alfa , A.S. , Eds.; Marcel Dekker, Inc. 1996 , 151 – 206 .
  • Osogami , T. ; Harchol-Balter , M. A closed form solution for mapping general distributions to minimal PH distributions . In International Conference on Performance Tools – TOOLS 2003 . Springer : New York , 2003 , 200 – 217 .
  • Osogami , T. , Harchol-Balter , M. Necessary and sufficient conditions for representing general distributions by Coxians . In International Conference on Performance Tools – TOOLS 2003 . Springer : New York , 182 – 199 .
  • Telek , M. ; Heindl , A. Matching moments for acyclic discrete and continuous phase-type distributions of second order . International Journal of Simulation Systems, Science & Technology 2002 , 3 ( 3–4 ), 47 – 57 .
  • van de Liefvoort , A. The moment problem for continuous distributions (Technical report WP-CM-1990-02) . University of Missouri : Kansas City , 1990 .

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