On moments of discrete phase-type distributions

被引:0
|
作者
Dayar, T [1 ]
机构
[1] Bilkent Univ, Dept Comp Engn, TR-06800 Ankara, Turkey
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recently, an efficient and stable method to compute moments of first passage times from a subset of states classified as safe to the other states in ergodic discrete-time Markov chains (DTMCs) has been proposed, This paper shows that the same method can be used to compute moments of discrete phase-type (DPH) distributions, analyzes its complexity on various acyclic DPH (ADPH) distributions, and presents results on a set of DPH distributions arising in a test suite of DTMCs.
引用
收藏
页码:51 / 63
页数:13
相关论文
共 50 条
  • [31] Modelling healthcare systems with phase-type distributions
    Mark Fackrell
    Health Care Management Science, 2009, 12 : 11 - 26
  • [32] Extreme behavior of multivariate phase-type distributions
    Asimit, Alexandru V.
    Jones, Bruce L.
    INSURANCE MATHEMATICS & ECONOMICS, 2007, 41 (02): : 223 - 233
  • [33] ON THE PHASE-TYPE APPROXIMATIONS OF GENERAL DISTRIBUTIONS.
    Altiok, Tayfur
    IIE Transactions (Institute of Industrial Engineers), 1985, 17 (02): : 110 - 116
  • [34] Modeling lifetimes using phase-type distributions
    Perez-Ocon, R.
    Segovia, M. C.
    RISK, RELIABILITY AND SOCIETAL SAFETY, VOLS 1-3: VOL 1: SPECIALISATION TOPICS; VOL 2: THEMATIC TOPICS; VOL 3: APPLICATIONS TOPICS, 2007, : 463 - 468
  • [35] Phase-type distributions in stochastic automata networks
    Sbeity, I.
    Brenner, L.
    Plateau, B.
    Stewart, W. J.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2008, 186 (03) : 1008 - 1028
  • [36] Fitting bivariate losses with phase-type distributions
    Zadeh, Amin Hassan
    Bilodeau, Martin
    SCANDINAVIAN ACTUARIAL JOURNAL, 2013, 2013 (04) : 241 - 262
  • [37] Sequence discrimination using phase-type distributions
    Callut, Jerome
    Dupont, Pierre
    MACHINE LEARNING: ECML 2006, PROCEEDINGS, 2006, 4212 : 78 - 89
  • [38] PRESENTATION OF PHASE-TYPE DISTRIBUTIONS AS PROPER MIXTURES
    ASSAF, D
    LANGBERG, NA
    JOURNAL OF APPLIED PROBABILITY, 1985, 22 (01) : 247 - 250
  • [39] Efficient sampling from phase-type distributions
    Fiems, Dieter
    OPERATIONS RESEARCH LETTERS, 2024, 57
  • [40] Levy Processes, Phase-Type Distributions, and Martingales
    Asmussen, Soren
    STOCHASTIC MODELS, 2014, 30 (04) : 443 - 468