Authors

• Jing Chen
• Taizhong Hu

Abstract

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar multivariate dispersive ordering of GOSs from two samples. Some ap- plications are also given.

Keywords

• Copula
• DFR
• directionally convex function
• disper- sive order
• hazard rate order
• nonhomogeneous Poisson process
• record values