Limit Theorems for Random Exponentials: The Bounded Support Case

DOI10.1137/S0040585X97T989295zbMath1442.60035OpenAlexW2896376519WikidataQ128439535 ScholiaQ128439535MaRDI QIDQ4618078

Michael Grabchak, Stanislav Alekseevich Molchanov

Publication date: 7 February 2019

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97t989295

zbMATH Keywords

exponential sumsrandom energy modelrandom exponentials

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Characterization and structure theory of statistical distributions (62E10)

Related Items (2)

Representation and simulation of multivariate Dickman distributions and Vervaat perpetuities ⋮ The Dickman–Goncharov distribution

Cites Work

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• Limit laws for sums of independent random products: the lattice case
• Functional limit theorems for sums of independent geometric Lévy processes
• Limit laws for sums of products of exponentials of iid random variables
• Limit laws for power sums and norms of i.i.d. samples
• Limit laws for norms of IID samples with Weibull tails
• Limit distributions of norms of vectors of positive i. i. d. random variables
• Fluctuations of the free energy in the REM and the \(p\)-spin SK models
• Limit theorems for sums of random exponentials
• Max Domains of Attraction of Univariate and Multivariate p-Max Stable Laws
• Domains of attraction for positive and discrete tempered stable distributions
• Heavy-Tail Phenomena
• Statistical Mechanics of Disordered Systems
• Probability

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