The distribution of the quotient of two triangularly distributed random variables

Selim Gündüz () and Ali Genç ()

Statistical Papers, 2015, vol. 56, issue 2, 310 pages

Abstract: The exact distributions of the quotients $$X/Y$$ X / Y and $$Y/(X+Y)$$ Y / ( X + Y ) when $$X$$ X and $$Y$$ Y are independent and triangularly distributed random variables are obtained. These quotients are useful especially in operations research and reliability engineering, and some reliability applications of the results are also given. Copyright Springer-Verlag Berlin Heidelberg 2015

Keywords: Triangular distribution; Distribution of quotient; Functions of random variables; System reliability; 62E15; 62N05 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1007/s00362-014-0582-x (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stpapr:v:56:y:2015:i:2:p:291-310

Ordering information: This journal article can be ordered from
http://www.springer. ... business/journal/362

DOI: 10.1007/s00362-014-0582-x

Access Statistics for this article

Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller

More articles in Statistical Papers from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().