On the almost decrease of a subexponential density

DOI10.1016/j.spl.2019.05.020zbMath1458.60053arXiv1808.06433OpenAlexW2951632844WikidataQ127716720 ScholiaQ127716720MaRDI QIDQ2322670

Yuxin Chen, Tao Jiang, Zhaolei Cui, Yue-bao Wang

Publication date: 5 September 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06433

zbMATH Keywords

infinitely divisible distributionsubexponential densitylocal subexponential distributionalmost decrease

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Limit theorems in probability theory (60F99)

Related Items (3)

On the long tail property of product convolution ⋮ Subexponential densities of infinitely divisible distributions on the half-line ⋮ SECOND ORDER SUBEXPONENTIALITY AND INFINITE DIVISIBILITY

Cites Work

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• Some discussions on the local distribution classes
• Random walks with non-convolution equivalent increments and their applications
• Local subexponentiality and self-decomposability
• Second order subexponential distributions with finite mean and their applications to subordinated distributions
• Large deviations for random walks under subexponentiality: The big-jump domain
• Ratio of the tail of an infinitely divisible distribution on the line to that of its Lévy measure
• Local precise large deviations for sums of random variables with \(O\)-regularly varying densities
• Some new equivalent conditions on asymptotics and local asymptotics for random sums and their applications
• Convolution tails, product tails and domains of attraction
• Degeneracy properties of subcritical branching processes
• Subexponential distributions and characterizations of related classes
• Functions of probability measures
• Asymptotics for sums of random variables with local subexponential behaviour
• A local limit theorem for random walk maxima with heavy tails
• The local asymptotic estimation for the supremum of a random walk with generalized strong subexponential summands
• On the distribution of the maxima of partial sums
• The closure of the convolution equivalent distribution class under convolution roots with applications to random sums
• From light tails to heavy tails through multiplier
• The uniform local asymptotics for a Lévy process and its overshoot and undershoot
• The Uniform Local Asymptotics of the Overshoot of a Random Walk with Heavy-Tailed Increments
• Local asymptotics of the cycle maximum of a heavy-tailed random walk
• Asymptotic Analysis of Random Walks
• Asymptotic behavior of tail and local probabilities for sums of subexponential random variables
• An Introduction to Heavy-Tailed and Subexponential Distributions
• Asymptotics for the moments of the overshoot and undershoot of a random walk
• 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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