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On the local behaviour of ladder height distributions

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Publication:4322033
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DOI10.2307/3215158zbMath0815.60065OpenAlexW2329238138MaRDI QIDQ4322033

Ronald Arthur Doney, Jean Bertoin

Publication date: 30 June 1995

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3215158


zbMATH Keywords

local subexponentialityladder height in a random walklocal asymptotic behavior of the maximumlocal regular variation


Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05)


Related Items

Asymptotic behavior of tail and local probabilities for sums of subexponential random variables ⋮ Local limit theorem for the maximum of asymptotically stable random walks ⋮ Local asymptotics of a Markov modulated random walk with heavy-tailed increments ⋮ On calculation of moments of ladder heights ⋮ Bounds for Ruin Probabilities in the Presence of Large Claims and their Comparison ⋮ A lifetime of excursions through random walks and Lévy processes



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