Equivalent conditions of asymptotics for the density of the supremum of a random walk in the Intermediate case
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Publication:1028628
DOI10.1007/S10959-009-0217-7zbMath1166.60027OpenAlexW2002600477MaRDI QIDQ1028628
Publication date: 6 July 2009
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10959-009-0217-7
Infinitely divisible distributions; stable distributions (60E07) Sums of independent random variables; random walks (60G50) Limit theorems in probability theory (60F99)
Related Items (3)
Asymptotics for the moments of the overshoot and undershoot of a random walk ⋮ On asymptotic equivalence among the solutions of some defective renewal equations ⋮ Tail behavior of supremum of a random walk when Cramér's condition fails
Cites Work
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- Some new equivalent conditions on asymptotics and local asymptotics for random sums and their applications
- Subexponential distributions and characterizations of related classes
- Asymptotics for sums of random variables with local subexponential behaviour
- On distribution tail of the maximum of a random walk
- Infinite divisibility and generalized subexponentiality
- Subexponential distributions and integrated tails
- Applied Probability and Queues
- Convolution equivalence and infinite divisibility
- Convolution Equivalence and Infinite Divisibility: Corrections and Corollaries
- The closure of a local subexponential distribution class under convolution roots, with applications to the compound Poisson process
- Asymptotics of the density of the supremum of a random walk with heavy-tailed increments
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