Ordering results on extremes of inverse Kumaraswamy random samples

Suchandan Kayal and Amarjit Kundu

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 9, 2998-3011

Abstract: The present communication is devoted to some ordering results on extremes of two sets of independent heterogeneous random samples. We assume that the samples are taken from inverse Kumaraswamy distribution. The purpose of this communication is two-fold. First, we consider stochastic comparison between two systems when the associated systems’ components do not receive random shocks. Second, we consider similar problem when the components undergo random shocks. We derive majorization-type partial order based sufficient conditions for the comparisons of the extreme order statistics in the sense of various stochastic orders such as the usual stochastic, likelihood ratio and hazard rate orders. Several examples are constructed to illustrate the established results.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2021.1966468 (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:taf:lstaxx:v:52:y:2023:i:9:p:2998-3011

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2021.1966468

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().