Asymptotic formulas for probabilities of large deviations of ladder heights

• Date: 2008
• Main Author: Nagaev, S.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4541
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Asymptotic formulas for probabilities of large deviations of ladder heights / S.V. Nagaev // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 100–116. — Бібліогр.: 17 назв.— англ.

Asymptotic formulas for large-deviation probabilities of a ladder height in a random walk generated by a sequence of sums of i.i.d. random variables are deduced. Two cases are considered: a) the distribution F(x) of summands is normal with a zero mean. b) F(x) belongs to the domain of the normal...