| Poisson过程作为更新过程的若干新的特征刻画 |
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| 引用本文： | 成世学.Poisson过程作为更新过程的若干新的特征刻画[J].高校应用数学学报(A辑),1998,13(3):289-294. |
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| 作者姓名： | 成世学 |
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| 作者单位： | 中国人民大学信息学院 |
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| 基金项目： | 国家自然科学基金,国家教委人文社会科学研究“九五”规划资助 |
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| 摘 要： | 本文将给出Poisson过程作为更新过程的一系列新的特征刻画．这些刻画是借助于更新过程中所有关键量的条件概率分布或条件期望来表述的．所给的条件是至任一指定时刻发生的抵达敷为已知．
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| 关 键 词： | 更新过程 Poisson过程 抵达时 最近寿命 剩余寿命 全部寿命 |
SOME NEW CHARACTERIZATIONS OF POISSON PROCESS REGARDED AS A RENEWAL PROCESS |
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| Cheng Shixue.SOME NEW CHARACTERIZATIONS OF POISSON PROCESS REGARDED AS A RENEWAL PROCESS[J].Applied Mathematics A Journal of Chinese Universities,1998,13(3):289-294. |
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| Authors: | Cheng Shixue |
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| Abstract: | In this paper,a series of new characterizations of the Poisson process regarded as a renewal process is given.These characterizations are based on the conditional probability distributions or the conditional expectations of all crucial quantities emerging in the renewal processes,given that the number of arrivals occurring up to any fixed time is known. |
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| Keywords: | Renewal Process Poisson Process Arrival Time Current Life Residual Life Total Life |
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