A new proof that the product of three or more exponential random variables is moment-indeterminate
No Thumbnail Available
Date
2010
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Abstract
We present a direct, short and transparent proof of the following result: The product X-1 ... X-n of independent exponential random variables X-1,...,X-n is moment-indeterminate if and only if n >= 3. This and other complex analytic results concerning Stieltjes moment sequences and properties of the corresponding distributions appeared recently in Berg (2005). (C) 2010 Elsevier B.V. All rights reserved.
Description
Keywords
Product of exponential random variables, Stieltjes problem of moments, M-determinate distribution, M-indeterminate distribution
Turkish CoHE Thesis Center URL
Citation
2
WoS Q
Q4
Scopus Q
Source
Volume
80
Issue
9-10
Start Page
792
End Page
796