On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I

DOI10.1007/BF00971431zbMath0796.60024OpenAlexW4250554818MaRDI QIDQ1324863

Vydas Čekanavičius

Publication date: 19 July 1994

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

Full work available at URL: https://doi.org/10.1007/bf00971431

zbMATH Keywords

asymptotic expansionsGaussian distributiongeneralized Poisson measures

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

Related Items (3)

Compound Poisson approximation ⋮ Remarks on estimates in the total-variation metric ⋮ On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. II

Cites Work

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• Approximation with accompanying distributions and asymptotic expansions. I
• Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
• Approximations of distributions of sums of lattice random variables. I
• Approximation by generalized measures of Poisson type
• Approximation of mixture of distributions
• Approximation of Binomial Distributions by Infinitely Divisible Ones
• On the Uniform Approximation of Distributions of Sums of Independent Random Variables
• On the Rate of Approach of the Distributions of Sums of Independent Random Variables to Accompanying Distributions

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