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关于PH-分布密度的研究报告

Reseach ereport on properties of a phase-type densitg
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摘要 PH -分布是有限状态Markov链下直到被吸收的时间 (死亡时间 )分布 ,本文对PH -分布性质的研究进展作了综述 ,并给出“最速增加猜想” A phase-type distribution is the distribution of the time until absorption(or killing time)in finite-state Markov chain.This paper make a summing up report on the properties of the phase-type distribution,and give a proof of the'steepest increase conjecture':For any phase-type densityf(t) of order a§n,f(t)/ta?a(c)n-1 is nonincreasing for a§ta§>0.
作者 姚仁海
出处 《黔东南民族师范高等专科学校学报》 2002年第3期1-3,共3页 Journal of Southeast Guizhou National Teachers College
关键词 PH-分布 密度函数 有限状态马尔科夫链 死亡时间分布 Phase-type distribution Density function Finite-state Markov chain
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参考文献9

  • 1Michel Dehon and Guy Latouche.A geometric interpetation of the relations between the exponential and generalized Erlang distributions[].Advances in Applied Probability.1985
  • 2O’Cinneide,C. A.Triangular order of triangular phase-type distributions[].Commun Stat Stochastic Models.1993
  • 3David Aldous and Larray shepp.The least variable phase-type distribution is Erlang[].Commun Stat Stcchastic Models.1987
  • 4O’Cinneide,C. A.Characterization of phase-type distributions[].Communication in Statistics : Stochastic Models.1990
  • 5Mocanu and Christian Commanult.Sparse representations of phase- type distributions[].Commun Stat Stochastic Models.1999
  • 6Yao Renhai.A proof of steepest incresae conjecture of phase-type density[].Commun Stat Stochastic Models.2002
  • 7Christian Commault and Jean-Paul Chemla.An invariant of representations of phase-type distributions and some applications[].Journal ofApplied Probability.1996
  • 8David Assaf and Benny Levikson.Closure of phase-type distributions under operations arising in reliability theory[].Annals of Applied Probability.1982
  • 9O’Cinneide,C. A.Phase-type distributions and invariant polytopes[].Advances in Applied Probability.1991

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