Symmetric sum and symmetric product of two independent random variables
type: Item
instance of: scholarly article
title: Symmetric sum and symmetric product of two independent random variables
zbMATH Open document ID: 0669.60023
DOI: 10.1007/BF01053413
author: J. Behboodian
published in: Journal of Theoretical Probability
publication date: 1989-01-01T00:00:00Z
review text: Let X and Y be independent r.v.'s. Then it can happen that X, \(X+Y\) are symmetric while Y is not symmetric. If at least one of X and Y is symmetric then XY is also symmetric. On the other hand, XY can be symmetric even if none of X and Y is symmetric. Other related observations are also discussed.
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 4096479
zbMATH Keywords: symmetric random variables
zbMATH Keywords: Pólya type characteristic function
MaRDI profile type: Publication
cites work: A Note on Symmetric Random Variables
cites work: Q5598785
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description: scientific article; zbMATH DE number 4096479