Authors

• Mohyeddin Izadi
• Baha-Eldin Khaledi

Abstract

In this paper we prove some stochastic comparisons results for progressive type II censored order statistics. The problem of
stochastically comparing concomitants of the two progressive type II
censored order statistics with possibly different schemes, under different kinds of dependence between X and Y is considered and it
is proved that if Y is stochastically increasing (decreasing) in X, in
some senses, then the concomitant variables Y R^~ ’s are stochastically [i:n]
increasing (decreasing) according to usual stochastic ordering, hazard rate ordering, likelihood ratio ordering, mean residual life ordering and dispersive ordering.

Keywords

• Dispersive ordering
• hazard rate ordering
• likelihood ratio ordering
• positive and negative dependence
• usual stochastic ordering