Decomposition problem of probability measures related to monotone regularly varying functions-Reference-Cited by-同舟云学术

Decomposition problem of probability measures related to monotone regularly varying functions

Published:1994-09 Issue: Volume:135 Page:87-111
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Shimura Takaaki

Abstract

This paper deals with a decomposition problem for some classes of distributions. Let D be a given class of distribution on R1, which we are interested in. After showing that the class D is closed under convolution, our purpose is to give an answer to the inverse problem: if the convolution of two distributions μ1 and (μ2 belongs to D, then do μ1 and μ2 belong to D?

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. Regularly Varying Functions

2. Convolutions of Distributions Attracted to Stable Laws

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