文章基本信息

标题：Families of ν -similar birth-death processes and limiting conditional distributions
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作者：Anna Poskrobko ; Ewa Girejko
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2015
卷号：2015
期号：1
页码：251
DOI：10.1186/s13662-015-0588-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：We study, for a given process X $\mathcal{X}$ , the conditions under which ν-similarity is provided, relations between similarity and ν-similarity of processes, and we analyze (doubly) limiting conditional distributions. We present sufficient conditions for the existence of at least one ν-similar process to a given one. Moreover, recursive formulas for birth and death rates of ν-similar processes are formulated. We apply differential equations and uniqueness of solutions to such equations to derive the main results of the paper. Finally, an example illustrates the applications of our results.
关键词：birth-death process ; ν -similarity ; limiting conditional distribution