@article{oai:teapot.lib.ocha.ac.jp:00034682,
 author = {KASAHARA, YUJI and KOSUGI, NOBUKO},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Nov},
 note = {application/pdf, 紀要論文, Let X_1, X_2,... be nonnegative independent random variables with a common distribution attracted to the stable law G_α, and put S_n=X_1+X_2+…+X_n. That is for some monotone increasing function σ(n), P[S_n/σ(n)≤x]→G_α(x), for every x>0 as n→∞. The aim of the present paper is to study the asymptotic behaviour of P[S_n/σ(n)≤x_n], where x_n is a positive sequence such that x_n→0 as n→∞.},
 pages = {27--31},
 title = {Large deviation around the origin for sums of nonnegative i.i.d. random variables},
 volume = {51},
 year = {2000}
}