Approximation of distributions of integral additive functions by discrete charges. I

DOI10.1007/BF00972224zbMath0683.10041OpenAlexW4256589183MaRDI QIDQ1824660

Vydas Čekanavičius, Jonas Šiaulys

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00972224

zbMATH Keywords

Fourier transformsigned measurelimit theoremsdiscrete distributionsfactorial momentschargesmetrics between probability distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Convergence of probability measures (60B10) Arithmetic functions in probabilistic number theory (11K65)

Related Items (13)

Signed Poisson approximations for Markov chains ⋮ Compound Poisson approximation ⋮ Approximation of symmetric three-state Markov chain by compound Poisson law ⋮ Non-uniform theorems for discrete measures ⋮ On closeness of two discrete weighted sums ⋮ Kubilius-type sequences of additive functions ⋮ Compound Poisson and signed compound Poisson approximations to the Markov binomial law ⋮ Lower-bound estimates for Poisson-type approximations ⋮ Compound Poisson approximation to weighted sums of symmetric discrete variables ⋮ Smoothing effect of compound Poisson approximations to the distributions of weighted sums ⋮ On a centered 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

• Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
• Approximations of distributions of sums of lattice random variables. I
• Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
• On the Closeness of the Distributions of Two Sums of Independent Random Variables
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