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High order moments of first hitting times for single death processes
Authors:Yuhui ZHANG  Xiaofeng ZHOU
Institution:School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China
Abstract:We present an explicit and recursive representation for high order moments of the first hitting times of single death processes. Based on that, some necessary or sufficient conditions of exponential ergodicity as well as a criterion on-ergodicity are obtained for single death processes, respectively.
Keywords:Single death process  moment of the first hitting time  exponential ergodocity  
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