Open Access
December 2018 A note on the product of independent random variables with regularly varying tails
Yuji Kasahara
Tsukuba J. Math. 42(2): 295-308 (December 2018). DOI: 10.21099/tkbjm/1554170426

Abstract

The tail probability of the product of independent random variables is discussed. The class of random variables with regularly varying tails is known to be closed under multiplication and some explicit examples are given by Kifer-Varadhan [2]. We extend them.

Citation

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Yuji Kasahara. "A note on the product of independent random variables with regularly varying tails." Tsukuba J. Math. 42 (2) 295 - 308, December 2018. https://doi.org/10.21099/tkbjm/1554170426

Information

Published: December 2018
First available in Project Euclid: 2 April 2019

zbMATH: 07055234
MathSciNet: MR3934992
Digital Object Identifier: 10.21099/tkbjm/1554170426

Subjects:
Primary: 60E05 , 60E0707

Keywords: product random variable , regular variation , Stable laws

Rights: Copyright © 2018 University of Tsukuba, Institute of Mathematics

Vol.42 • No. 2 • December 2018
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