孔令涛, 戴洪帅. 记录时及相应计数过程关于矩精确完全收敛的渐进性质[J]. 应用概率统计, 2017, 33(3): 257-266. DOI: 10.3969/j.issn.1001-4268.2017.03.004
引用本文: 孔令涛, 戴洪帅. 记录时及相应计数过程关于矩精确完全收敛的渐进性质[J]. 应用概率统计, 2017, 33(3): 257-266. DOI: 10.3969/j.issn.1001-4268.2017.03.004
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KONG LingTao, DAI HongShuai. Exact Asymptotics in Complete Moment Convergence[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(3): 257-266. DOI: 10.3969/j.issn.1001-4268.2017.03.004
Citation: KONG LingTao, DAI HongShuai. Exact Asymptotics in Complete Moment Convergence[J]. Chinese Journal of Applied Probability and Statistics, 2017, 33(3): 257-266. DOI: 10.3969/j.issn.1001-4268.2017.03.004
shu

记录时及相应计数过程关于矩精确完全收敛的渐进性质

Exact Asymptotics in Complete Moment Convergence

    摘要
  • 摘要: 我们考虑一列独立同分布且分布函数绝对连续的随机变量序列及其记录时和相应的计数过程, 得到了记录时和相应计数过程的关于矩精确完全收敛的渐进性质.

     

    Abstract: Let be a sequence of i.i.d. random variables with absolutely continuous distribution function. Denote the record times and the associated counting process of by and , respectively. In this paper, we obtain the exact asymptotics in complete moment convergence of and .

     

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