Generalized negative binomial distributions as mixed geometric laws and related limit theorems

DOI10.1007/s10986-019-09452-xzbMath1448.60044arXiv1703.07276OpenAlexW2970640523WikidataQ114852326 ScholiaQ114852326MaRDI QIDQ2010119

V. Yu. Korolev, Alexander I. Zejfman

Publication date: 3 December 2019

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07276

zbMATH Keywords

negative binomial distributionWeibull distributionBernoulli trialsrandom sample sizegeneralized gamma distributionLaplace distributionrandom summixed Poisson distributionMittag-Leffler distributionLinnik distributionstrictly stable distributionnormal mixtureRényi theoremmixed binomial distributionmixed exponential distributionmixed geometric distributionrandom Poisson theorem

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)

Related Items (5)

Bounds for convergence rate in laws of large numbers for mixed Poisson random sums ⋮ Estimation of digamma distribution parameters for random sample size ⋮ Hierarchical ensemble Kalman methods with sparsity-promoting generalized gamma hyperpriors ⋮ Convergence and inference for mixed Poisson random sums ⋮ Digamma distribution as a limit for the integral balance index

Cites Work

• Modeling high-frequency order flow imbalance by functional limit theorems for two-sided risk processes
• 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
• Doubly stochastic Poisson processes
• A general theorem on the limit behavior of superpositions of independent random processes with applications to Cox processes
• Fractional moment estimation of Linnik and Mittag-Leffler parameters
• 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
• Semi - α - laplace distributions
• On certain self-decomposable distributions
• Generalized Poisson Models and their Applications in Insurance and Finance
• Chance and Stability
• On Convergence of Distributions of Compound Cox Processes to Stable Laws
• Stochastic Models of Structural Plasma Turbulence
• Mittag-Leffler Functions, Related Topics and Applications
• On an Application of the Student Distribution in the Theory of Probability and Mathematical Statistics
• A Generalization of the Gamma Distribution
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