%0 Journal Article
%A QI Yongcheng
%T Some Results on a Counting Process Associated to Records
%D 1997
%R
%J Acta Scientiarum Naturalium Universitatis Pekinensis
%P 289-297
%V 33
%N 3
%X Let {*I*_{n}} be a sequence of the record indices, i.e, *I*_{n}, *n*≥1 are independent with P(*I*_{n>=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.
%U https://xbna.pku.edu.cn/EN/abstract/article_2076.shtml
}