@inbook{5016fcd980824d0b871437eee73ebb96,

title = "Majorization and extremal PH distributions",

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.",

author = "Q.M. He and H. Zhang and J.C. Vera",

note = "Pagination: 256",

year = "2013",

language = "English",

isbn = "9781461449089",

series = "Springer Proceedings in Mathematics & Statistics",

publisher = "Springer Verlag",

number = "27",

pages = "107--121",

editor = "G. Latouche and V. Ramaswami and J. Sethuraman and K. Sigman and M.S. Squillante and D.D. Yao",

booktitle = "Matrix-Analytic Methods in Stochastic Models",

address = "Germany",

}