Author

• Baha-Eldin Khaledi

Abstract

In this paper we specify the conditions on the parameters
of pairs of gOS’s under which the corresponding generalized order
statistics are ordered according to usual stochastic ordering, hazard
rate ordering, likelihood ratio ordering and dispersive ordering. We
consider this problem in one-sample as well as two-sample problems.
We show that some of the results obtained by Franco et al. [Probab.
Engrg. Inform. Sci. 2002, 16, 471-484] and Belzunce et al. [Probab.
Engrg. Inform. Sci. (2004), to appear] for stochastic orderings of
gOS’s are contained in our new results

Keywords

• Dispersive order
• hazard rate order
• likelihood ratio order
• Majorization
• p-larger order
• usual stochastic order