Some new equivalent conditions on asymptotics and local asymptotics for random sums and their applications
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Publication:995501
DOI10.1016/j.insmatheco.2006.04.006zbMath1120.60033OpenAlexW1967861462MaRDI QIDQ995501
Yang Yang, Kai Yong Wang, Yue-bao Wang, Dong Ya Cheng
Publication date: 3 September 2007
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.insmatheco.2006.04.006
Infinitely divisible distributions; stable distributions (60E07) Limit theorems in probability theory (60F99)
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Cites Work
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- Asymptotics of infinitely divisible distributions on \({\mathbb{R}}\)
- On convolution tails
- Asymptotic behaviour of Wiener-Hopf factors of a random walk
- Subexponential distributions and characterizations of related classes
- Asymptotics for sums of random variables with local subexponential behaviour
- A local limit theorem for random walk maxima with heavy tails
- On distribution tail of the maximum of a random walk
- Infinite divisibility and generalized subexponentiality
- Subexponential distributions and integrated tails
- Subexponentiality and infinite divisibility
- Asymptotic behavior of tail and local probabilities for sums of subexponential random variables
- Convolution equivalence and infinite divisibility
- Some asymptotic results for transient random walks
- The closure of a local subexponential distribution class under convolution roots, with applications to the compound Poisson process
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