Some properties of two distributions of the exponential family
type: Item
instance of: scholarly article
title: Some properties of two distributions of the exponential family
zbMATH Open document ID: 0569.62009
author: Augusto Serrecchia
published in: Metron
publication date: 1984-01-01T00:00:00Z
review text: This paper is concerned with two classical distributions belonging to the exponential family: the normal distribution and the negative exponential distribution. Under some regularity conditions, the author first shows that the normal is the unique distribution, belonging to a particular subclass of the exponential family, having the variance unrelated to its mean value. In the second part of the paper, the negative exponential has been shown to be the only distribution of the same subclass, having the variance equal to the corresponding mean squared.
Mathematics Subject Classification ID: 62E10
zbMATH DE Number: 3909513
zbMATH Keywords: characterization
zbMATH Keywords: exponential family
zbMATH Keywords: normal distribution
zbMATH Keywords: negative exponential distribution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3909513