The left tail of renewal measure

Abstract

In the paper, we find exact asymptotics of the left tail of renewal measure for a broad class of two-sided random walks. We only require that an exponential moment of the left tail is finite. Through a simple change of measure approach, our result turns out to be almost equivalent to Blackwell's Theorem.

6 pages

Cited by in corpus (3)

• Local large deviations and the strong renewal theorem
• Stochastic recursions: between Kesten's and Grincevičius-Grey's assumptions
• A renewal theorem and supremum of a perturbed random walk