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 a...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.展开更多
基金The authors thank the anonymous referees for their very valuable suggestions and careful reading of the draft,which greatly improved the quality of the paperThis work was supported by the National Natural Science Foundation of China(Grant Nos.11571043,11771047,11871008).
文摘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.
