Аннотация:
We find asymptotic expansion in the powers of $e^{-b}$ for the distribution of excess over boundary $b\to\infty$ under one-sided Cramér condition on the distribution of random walk summands. As a corollary, we obtain asymptotic expansion for the renewal function.
Ключевые слова:random walk, excess over boundary, renewal function, asymptotic expansions.