Titlebook: Matrix-Analytic Methods in Stochastic Models; Guy Latouche,Vaidyanathan Ramaswami,David Yao Conference proceedings 2013 Springer Science+B

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Markovian Trees Subject to Catastrophes: Would They Survive Forever?,ll known that the criteria for the extinction of such a process is related to the conditional growth rate of the population, given the history of the process of catastrophes, and that it is usually hard to evaluate. We give a simple characterization in the case where all individuals have the same pr

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Majorization and Extremal PH Distributions, of phase-type distributions are found. Exponential distributions and Coxian distributions are identified to be extremal . distributions with respect to all the moments and Laplace–Stieltjes transforms for certain subsets of . distributions.

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