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Several Properties of a Nonstandard Renewal Counting Process and Their Applications

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摘要 This paper proposes a nonstandard renewal counting process based on web Markov skeleton process,called web renewal process,which allows applications in the field of natural science and social science.Parallel with the standard renewal counting process,some properties of the web renewal process and the corresponding web renewal reward processes,are investigated.Several limit properties,including the tail of the exponential moments of the web renewal process,and the results of precise large deviations and moderate deviations for the web renewal reward processes are derived.
作者 LI Rong BI Xiuchun ZHANG Shuguang
机构地区 Institute of Statistics and Applied Mathematics Department of Statistics and Finance
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2020年第1期122-136,共15页 系统科学与复杂性学报（英文版）
基金 supported by the National Natural Science Foundation of China under Grant Nos.11401556and 11471304.
关键词 Dependence moderate DEVIATIONS precise large DEVIATIONS WEB RENEWAL PROCESS WEB RENEWAL REWARD PROCESS
分类号 O211.62 [理学—概率论与数理统计]
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Journal of Systems Science & Complexity
2020年 第1期

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