Probability inequalities via negative dependence for random variables conditioned on order statistics

Henry W. Block, Vanderlei Bueno, Thomas H. Savits and Moshe Shaked

Naval Research Logistics (NRL), 1987, vol. 34, issue 4, 547-554

Abstract: Distributions are studied which arise by considering independent and identically distributed random variables conditioned on events involving order statistics. It is shown that these distributions are negatively dependent in a very strong sense. Furthermore, bounds are found on the distribution functions. The conditioning events considered occur naturally in reliability theory as the time to system failure for k‐out‐of‐n systems. An application to systems formed with “second‐hand” components is given.

Date: 1987
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://doi.org/10.1002/1520-6750(198708)34:43.0.CO;2-B

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:wly:navres:v:34:y:1987:i:4:p:547-554

Access Statistics for this article

More articles in Naval Research Logistics (NRL) from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().