Estimates for the overshoot of a random walk with negative drift and non-convolution equivalent increments
From MaRDI portal
Publication:386279
DOI10.1016/j.spl.2013.02.015zbMath1292.60053OpenAlexW1987004986MaRDI QIDQ386279
Yang Yang, Kai Yong Wang, Chang Jun Yu
Publication date: 9 December 2013
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2013.02.015
Processes with independent increments; Lévy processes (60G51) Sums of independent random variables; random walks (60G50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- New examples of heavy-tailed O-subexponential distributions and related closure properties
- Random walks with non-convolution equivalent increments and their applications
- Equivalent conditions of local asymptotics for the overshoot of a random walk with heavy-tailed increments
- Asymptotic aspects of the Gerber-Shiu function in the renewal risk model using Wiener-Hopf factorization and convolution equivalence
- The full solution of the convolution closure problem for convolution- equivalent distributions
- The overshoot of a random walk with negative drift
- Ratio of the tail of an infinitely divisible distribution on the line to that of its Lévy measure
- Lower limits and upper limits for tails of random sums supported on \(\mathbb R\)
- Ruin probability and local ruin probability in the random multi-delayed renewal risk model
- On convolution tails
- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- Degeneracy properties of subcritical branching processes
- Inequalities for the overshoot
- Large deviations results for subexponential tails, with applications to insurance risk
- Functions of probability measures
- Approximations for moments of deficit at ruin with exponential and subexponential claims.
- Estimates for the tail probability of the supremum of a random walk with independent increments
- Infinite divisibility and generalized subexponentiality
- Estimates for Overshooting an Arbitrary Boundary by a Random Walk and Their Applications
- The Uniform Local Asymptotics of the Overshoot of a Random Walk with Heavy-Tailed Increments
- Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift
- A NOTE ON THE SEVERITY OF RUIN IN THE RENEWAL MODEL WITH CLAIMS OF DOMINATED VARIATION
- Applied Probability and Queues
- Convolution equivalence and infinite divisibility
- Some asymptotic results for transient random walks
- The Uniform Asymptotics of the Overshoot of a Random Walk with Light-Tailed Increments
- Asymptotics for the moments of the overshoot and undershoot of a random walk
This page was built for publication: Estimates for the overshoot of a random walk with negative drift and non-convolution equivalent increments