On smoothing properties of compound Poisson distributions
type: Item
instance of: scholarly article
title: On smoothing properties of compound Poisson distributions
zbMATH Open document ID: 0868.60013
DOI: 10.1007/BF02341490
author: Vydas Čekanavičius
published in: Lithuanian Mathematical Journal
publication date: 1997-08-25T00:00:00Z
review text: The main contributions are estimates of analogs of the uniform Kolmogorov distance and Lévy concentration function of products of terms of the type \((F-E)^k\exp[a(F-E)]\), where products and powers are in the convolution sense, \(F\) is a distribution function and \(E\) is the distribution concentrated at zero. Some applications to sums of a random number of random variables are also given.
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 939517
zbMATH Keywords: compound Poisson
zbMATH Keywords: random sum
reviewed by: S. N. U. A. Kirmani
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02341490
OpenAlex ID: W4254892440
description: scientific article; zbMATH DE number 939517