Stochastic Comparison on Conditional Order Statistics

Some New Results

Xiaohu Li
School of Mathematics and Statistics
Lanzhou University, Lanzhou 730000
People’s Republic of China

Abstract

        This paper further develops some stochastic comparisons on conditional order statistics, which serve as the residual life and the inactivity time of a k-out-of-n system; We also investigate the stochastic behavior of the conditional order statistics from a population with certain aging properties. These new results strengthen some conclusions in both Kahladi and Shaked (2006) and Hu, Jin and Khaledi (2007).

This is joint work with Peng Zhao.