On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I
type: Item
instance of: scholarly article
title: On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I
zbMATH Open document ID: 0796.60024
DOI: 10.1007/BF00971431
published in: Lithuanian Mathematical Journal
publication date: 1994-07-19T00:00:00Z
review text: We improve some results of the author [Lith. Math. J. 28, No. 3, 284-288 (1988); translation from Litov Mat. Sb. 28, No. 3, 582-588 (1988; Zbl 0651.60027)]. By using the so-called generalized Poisson measures (which in general are the signed measures), we obtain meaningful results without any moment conditions. Moreover, three asymptotic expansions based on the Gaussian distribution and the generalized Poisson measures are given.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 60G15
zbMATH DE Number: 578653
zbMATH Keywords: generalized Poisson measures
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Gaussian distribution
author: Vydas Čekanavičius
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00971431
OpenAlex ID: W4250554818
description: scientific article; zbMATH DE number 578653