Tail expansions for the distribution of the maximum of a random walk with negative drift and regularly varying increments

Barbe, Ph .; McCormick, W. P.; Zhang, C.

Tail expansions for the distribution of the maximum of a random walk with negative drift and regularly varying increments

Authors

Barbe, Ph .

McCormick, W. P.

Zhang, C.

Description

Let F be a distribution function with negative mean and regularly varying right tail. Under a mild smoothness condition we derive higher order asymptotic expansions for the tail distribution of the maxima of the random walk generated by F. An application to ruin probabilities is developed.
16 pages