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On Moments of Discrete Phase-Type Distributions

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Formal Techniques for Computer Systems and Business Processes (EPEW 2005, WS-FM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3670))

Abstract

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.

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Dayar, T. (2005). On Moments of Discrete Phase-Type Distributions. In: Bravetti, M., Kloul, L., Zavattaro, G. (eds) Formal Techniques for Computer Systems and Business Processes. EPEW WS-FM 2005 2005. Lecture Notes in Computer Science, vol 3670. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11549970_5

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  • DOI: https://doi.org/10.1007/11549970_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28701-8

  • Online ISBN: 978-3-540-31903-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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