caa a22 4500 605519684 CHVBK 20210128100731.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11009-013-9377-0 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9377-0 Comparisons of Largest Order Statistics from Multiple-outlier Gamma Models [Elektronische Daten] [Peng Zhao, N. Balakrishnan] In this paper, we discuss stochastic comparisons of largest order statistics from multiple-outlier gamma models in terms of different stochastic orderings including the likelihood ratio order, hazard rate order, star order and dispersive order. It is proved, among others, that the weak majorization order between the two scale parameter vectors implies the likelihood ratio order between the largest order statistics, and that the p-larger order between the two scale parameter vectors implies the hazard rate order between the largest order statistics. We also present a general sufficient condition for the star order. The results established here strengthen and generalize some of the results known in the literature. Some numerical examples are also presented to illustrate the established results. Springer Science+Business Media New York, 2013 Hazard rate order nationallicence Likelihood ratio order nationallicence Star order nationallicence Dispersive order nationallicence Majorization nationallicence p -larger order nationallicence Order statistics nationallicence Multiple-outlier models nationallicence Zhao Peng School of Mathematics and Statistics, Jiangsu Normal University, 221116, Xuzhou, China aut Balakrishnan N. Department of Mathematics and Statistics, McMaster University, L8S4K1, Hamilton, ON, Canada aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 617-645 1387-5841 17:3<617 2015 17 11009 https://doi.org/10.1007/s11009-013-9377-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9377-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhao Peng School of Mathematics and Statistics, Jiangsu Normal University, 221116, Xuzhou, China aut NATIONALLICENCE 700 1- Balakrishnan N. Department of Mathematics and Statistics, McMaster University, L8S4K1, Hamilton, ON, Canada aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 617-645 1387-5841 17:3<617 2015 17 11009