Ӧ�ø���ͳ�� 2007, 23(4) 377-383 DOI:      ISSN: 1001-4268 CN: 31-1256

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Ergodicity of a Class of Single Death Processes
ZHANG Lihua, Zhang Yuhui
School of Science, Beijing University of Posts and Telecommunications, School of Mathematical Sciences, Beijing Normal University
Abstract: In this paper, we consider the single death processes which go out of reversed Markov context. By comparing with the moments of hitting time of birth-death processes and stochastic comparability, some sufficient conditions and necessary conditions are obtained for some kinds of ergodicity of the single death processes respectively. Finally, one example are given to illustrate the results.

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