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On the moment determinacy of products of non-identically distributed random variables

Lookup NU author(s): Dr Jordan Stoyanov

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This is the final published version of an article that has been published in its final definitive form by Wroclaw University of Science and Technology, 2016.

For re-use rights please refer to the publisher's terms and conditions.


Abstract

We suggest checkable conditions to establish the moment determinacy of products of random variables. We treat both Stieltjes case (distributions on the positive semi-real line) and Hamburger case (on the whole real line). A series of new results and given with their proofs. Of interest are also the illustrative examples.


Publication metadata

Author(s): Lin GD, Stoyanov J

Publication type: Article

Publication status: Published

Journal: Probability and Mathematical Statistics

Year: 2016

Volume: 36

Issue: 1

Pages: 21-33

Print publication date: 01/05/2015

Online publication date: 01/06/2016

Acceptance date: 15/01/2015

Date deposited: 04/08/2017

ISSN (print): 0208-4147

Publisher: Wroclaw University of Science and Technology

URL: http://www.math.uni.wroc.pl/~pms/publicationsArticle.php?nr=36.1&nrA=2&ppB=21&ppE=33

Notes: PMS is a leading international journal, accessible on line for free.


Funding

Funder referenceFunder name
Leverhulme Trust (UK)
14.12.31.0007International Laboratory of Quantitative Finance (Higher School of Economics, Moscow)
NSC 102-2118-M-001-008-MY2Ministry of Science and Technology of Taiwan (ROC)

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