Acta Scientiarum Naturalium Universitatis Pekinensis
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QI Yongcheng
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祁永成
Abstract: Let {In} be a sequence of the record indices, i.e, In, n≥1 are independent with P(In>=1)=1-P(In=0)=1/n for n≥1, and set u(n)=Σnj=1Ij, n≥1. The probabilities P(|u(n)-logn|>εlogn) and P(u(n)=k) for some k's are inverstigated in the paper.
Key words: record index, Poisson approximation, convergence rate
摘要： 设{In}是一个记录指标序列, 即In, n≥1是独立随机变量, 满足P(In>=1)=1-P(In=0)=1/n, n≥1. 记u(n)=Σnj=1Ij, 估计概率P(|u(n)-logn|>εlogn)和P(u(n)=k).
关键词: 记录指标, Poisson逼近, 收敛速度
CLC Number:
O211
QI Yongcheng. Some Results on a Counting Process Associated to Records[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.
祁永成. 有关记录值计数过程的若干结果[J]. 北京大学学报（自然科学版）.
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https://xbna.pku.edu.cn/EN/Y1997/V33/I3/289
