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Estimation of stress-strength reliability using discrete phase type distribution
Communications in Statistics - Theory and Methods, 2020In this paper, the stress-strength reliability of single and multi-component systems are estimated assuming discrete phase type distribution for stress and strength components.
Joby K. Jose, M. Drisya, M. Manoharan
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Multivariate Phase-Type Distributions
Operations Research, 1984A (univariate) random variable is said to be of phase type if it can be represented as the time until absorption in a finite state absorbing Markov chain. Univariate phase type random variables are useful because they arise from processes that are often encountered in applications, they have densities that can be written in a closed form, they possess
David Assaf +3 more
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Experimenting with the Coxian Phase-Type Distribution to Uncover Suitable Fits
, 2012 In the past few decades, Coxian phase-type distributions have become increasingly more popular as a means of representing survival times. In healthcare, they are considered suitable for modelling the length of stay of patients in hospital and more ...
A. Marshall, M. Zenga
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Revisiting discrete time age replacement policy for phase-type lifetime distributions
European Journal of Operational Research, 2021For a system (or unit) whose lifetime is measured by the number cycles, according to the discrete time age replacement policy, it is replaced preventively after n cycles or correctively at failure, whichever occurs first. In this paper, discrete time age
S. Eryilmaz
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Multivariate phase-type theory for the site frequency spectrum
Journal of Mathematical Biology, 2021Linear functions of the site frequency spectrum (SFS) play a major role for understanding and investigating genetic diversity. Estimators of the mutation rate (e.g.
A. Hobolth, M. Bladt, L. N. Andersen
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PHASE: A Stochastic Formalism for Phase-Type Distributions
2014Models of non-Markovian systems expressed using stochastic formalisms often employ phase-type distributions in order to approximate the duration of transitions. We introduce a stochastic process calculus named PHASE which operates with phase-type distributions, and provide a step-by-step description of how PHASE processes can be translated into models ...
Gabriel Ciobanu, Armand Stefan Rotaru
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Bilateral phase‐type distributions
Naval Research Logistics Quarterly, 1985AbstractIn this article we define a class of distributions called bilateral phase type (BPH), and study its closure and computational properties. The class of BPH distributions is closed under convolution, negative convolution, and mixtures. The one‐sided version of BPH, called generalized phase type (GPH), is also defined.
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