Stochastic comparison of parallel systems with heterogeneous dependent exponential components

Ebrahim Amini-Seresht, Baha-Eldin Khaledi and Salman Izadkhah

Statistics & Probability Letters, 2024, vol. 215, issue C

Abstract: Let X=(X1,…,Xn) and Y=(Y1,…,Yn) be two random vectors with common Archimedean copula with generator function ϕ, where, for i=1,…,n, Xi is an exponential random variable with hazard rate λi and Yi is an exponential random variable with hazard rate λ. In this paper we prove that under some sufficient conditions on the function ϕ, the largest order statistic corresponding to X is larger than that of Y according to the dispersive ordering and hazard rate ordering. The new results generalized the results in Dykstra et al. (1997) and Khaledi and Kochar (2000). We show that the new results can be applied to some well known Archimedean copulas.

Keywords: Archimedean copula; Dispersive order; Hazard rate order; IFR distributions (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715224002116
Full text for ScienceDirect subscribers only

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:eee:stapro:v:215:y:2024:i:c:s0167715224002116

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2024.110242

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().