Large deviations by Poisson approximations

DOI10.1016/0378-3758(92)90153-JzbMath0758.60023OpenAlexW1984218212MaRDI QIDQ1200016

Paul Deheuvels

Publication date: 17 January 1993

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(92)90153-j

zbMATH Keywords

Poisson approximationBernoulli random variablesassociated random variableslarge deviation asymptotics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Large deviations (60F10)

Related Items (4)

On large deviations for sums of discrete m-dependent random variables ⋮ Large deviations for sums of random variables connected into a Markov chain in approximation by Poisson law ⋮ Large deviations for integer centered Poisson approximation ⋮ On a centered Poisson approximation

Cites Work

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• A semigroup approach to Poisson approximation
• Operator semigroups and Poisson convergence in selected metrics
• On a relationship between Uspensky's theorem and Poisson approximations
• Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables
• A unified formulation of the central limit theorem for small and large deviations from the mean
• On the Distribution of the Number of Successes in Independent Trials
• On the rate of Poisson convergence
• Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials
• Approximation of a Generalized Binomial Distribution
• On the Probabilities of Large Deviations for Sums of Independent Random Variables
• An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality

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