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Coxian representations of generalized Erlang distributions

文献类型：期刊论文

作者He, Qi-ming1; Zhang, Han-qin2
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期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
DOI10.1007/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
WOS记录号WOS:000266479900011
出版者SPRINGER HEIDELBERG
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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