@article{oai:teapot.lib.ocha.ac.jp:00034648,
author = {YANO, Yuko},
issue = {1},
journal = {お茶の水女子大學自然科學報告},
month = {Jun},
note = {application/pdf, 紀要論文, Let X_1(t) and X_2(t) be independent subordinators and let X^<-1>2(t) be the right-continuous inverse of X_2. The asymptotic behavior of P[X_1(X^<-1>_2(t))≦x] as x→0+ for every fixed t>0 is studied. It is shown that the infinitesimal order is determined by the exponent of X_1 and the constant, which depends on t, is determined by the Levy measure of X_2. The problem is motivated by a generalized arc-sine law for one-dimensional diffusion processes.},
pages = {9--11},
title = {A REMARK ON THE ASYMPTOTIC BEHAVIOR OF SUBORDINATORS},
volume = {54},
year = {2003}
}