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	Coxian representations of generalized Erlang distributions
	He, Qi-ming1; Zhang, Han-qin2
刊名	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
	2009-07-01
卷号	25期号:3页码:489-502
关键词	Coxian distribution phase-type distribution matrix-analytic methods
ISSN号	0168-9673
DOI	10.1007/s10255-008-8827-x
英文摘要	This paper studies Coxian representations of generalized Erlang distributions. A nonlinear program is derived for computing the parameters of minimal Coxian representations of generalized Erlang distributions. The nonlinear program is also used to characterize the triangular order and the admissible region of generalized Erlang distributions. It is shown that the admissible region associated with a triangular order may not be convex. For generalized Erlang distributions of ME-order 3, a minimal Coxian representation is found explicitly. In addition, an algorithm is developed for computing a special type of ordered Coxian representations - the bivariate Coxian representation - for generalized Erlang distributions.
资助项目	Natural Science and Engineering Research Council of Canada (NSERC) ; Chinese Academy of Sciences
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000266479900011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9083]
专题	应用数学研究所
通讯作者	He, Qi-ming
作者单位	1.Dalhousie Univ, Dept Ind Engn, Halifax, NS B3J 2X4, Canada 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	He, Qi-ming,Zhang, Han-qin. Coxian representations of generalized Erlang distributions[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2009,25(3):489-502.
APA	He, Qi-ming,&Zhang, Han-qin.(2009).Coxian representations of generalized Erlang distributions.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,25(3),489-502.
MLA	He, Qi-ming,et al."Coxian representations of generalized Erlang distributions".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 25.3(2009):489-502.

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