On the number of crossings of some levels by a sequence of diffusion processes

The limit behavior of the number of crossings of some sequence of levels by the following sequence of random variables $xi_n(0)$, $xi_nleft(frac{1}{m}ight)$,..., $xi_nleft(frac{N}{m}ight)$, as the integers $n$, $m$, $N$ are increasing to infinity in some consistent way, is investigated, where $(xi_n...

Full description

Bibliographic Details
Main Author: M. M. Osypchuk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2009-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/30/26