On large deviations for sums of discrete m-dependent random variables

DOI10.1080/17442508.2019.1568438zbMath1498.60106arXiv1901.03348OpenAlexW2964109245MaRDI QIDQ5087043

Vydas Čekanavičius, Palaniappan Vellaisamy

Publication date: 8 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03348

zbMATH Keywords

Poisson distributionlarge deviationsnegative binomial distributionbinomial distribution\(m\)-dependent random variables

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Large deviations (60F10)

Related Items (2)

Compound Poisson approximation ⋮ On moderate deviations in Poisson approximation

Cites Work

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• Approximation methods in probability theory
• Compound Poisson approximations for sums of 1-dependent random variables. I
• On a modified binomial distribution of order k
• A compound Poisson convergence theorem for sums of \(m\)-dependent variables
• Inequalities for the gamma function
• Large deviations by Poisson approximations
• Some asymptotic and large deviation results in Poisson approximation
• Large deviations for integer centered Poisson approximation
• Probabilities of large deviations in a scheme of series
• Moderate deviations in Poisson approximation: a first attempt
• On Negative Binomial Approximation to k-Runs
• A method for the derivation of limit theorems for sums of weakly dependent random variables:a survey
• A method for the derivation of limit theorems for sums of m-dependent random variables
• On Comparison of Binomial and Poisson Distributions
• Probabilities of moderate deviations under m‐dependence
• Large Deviations in the Approximation by the Poisson Law
• Poisson approximation for (k₁, k₂)-events via the Stein-Chen method
• Large deviations of sums of independent random variables

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