Majorization and extremal PH distributions
He,Q.M. ; Zhang,H. ; Vera,J.C.
He,Q.M.
Zhang,H.
Vera,J.C.
Abstract
This chapter presents majorization results for PH generators. Based on the majorization results, bounds on the moments and Laplace–Stieltjes transforms of phase-type distributions are found. Exponential distributions and Coxian distributions are identified to be extremal PH distributions with respect to all the moments and Laplace–Stieltjes transforms for certain subsets of PH distributions.
Description
Pagination: 256
Date
2013
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Springer Verlag
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Citation
He, Q M, Zhang, H & Vera, J C 2013, Majorization and extremal PH distributions. in G Latouche, V Ramaswami, J Sethuraman, K Sigman, M S Squillante & D D Yao (eds), Matrix-Analytic Methods in Stochastic Models. Springer Proceedings in Mathematics & Statistics, no. 27, Springer Verlag, Heidelberg, pp. 107-121.
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info:eu-repo/semantics/restrictedAccess
