Limit Distributions for Doubly Stochastically Rarefied Renewal Processes and Their Properties

DOI10.1137/S0040585X97T98840XzbMath1377.60042OpenAlexW2778756248MaRDI QIDQ4602301

V. Yu. Korolev

Publication date: 9 January 2018

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

Full work available at URL: https://doi.org/10.1137/s0040585x97t98840x

zbMATH Keywords

Weibull distributionLaplace distributionstable distributionMittag-Leffler distributionLinnik distributionmixed exponential distributionmixed geometric distributiondoubly stochastically rarefied renewal processmixed geometric random sum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stable stochastic processes (60G52) Renewal theory (60K05)

Related Items (2)

Composition law for the Cole-Cole relaxation and ensuing evolution equations ⋮ Scale mixtures of Fréchet distributions as asymptotic approximations of extreme precipitation

Cites Work

• Product representations for random variables with Weibull distributions and their applications
• A note on mixture representations for the Linnik and Mittag-Leffler distributions and their applications
• Convergence of statistics constructed from samples with random sizes to the Linnik and Mittag-Leffler distributions and their generalizations
• On Mittag-Leffler functions and related distributions
• A note on Linnik's distribution
• A general result on infinite divisibility
• Hierarchical models with scale mixtures of normal distributions
• Analytic and asymptotic properties of Linnik's probability densities. II
• Analytic and asymptotic properties of Linnik's probability densities. I
• A mixture representation of the Linnik distribution
• Composition semigroups and random stability
• On a Class of Unimodal Distributions
• Scale Mixtures Distributions in Insurance Applications
• Generalized Poisson Models and their Applications in Insurance and Finance
• Chance and Stability
• Mittag-Leffler Functions, Related Topics and Applications
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