a1 School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China
a2 School of Mathematical Sciences, Jiangsu Normal University, Xuzhou 221116, China
a3 Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 E-mail: email@example.com
In this paper, we study some stochastic comparisons of the maxima in two multiple-outlier geometric samples based on the likelihood ratio order, hazard rate order, and usual stochastic order. We establish a sufficient condition on parameter vectors for the likelihood ratio ordering to hold. For the special case when n = 2, it is proved that the p-larger order between the two parameter vectors is equivalent to the hazard rate order as well as usual stochastic order between the two maxima. Some numerical examples are presented for illustrating the established results.