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.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.