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

Exact Asymptotics in Complete Moment Convergence

  • 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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