Title
On stochastic comparisons of maximum order statistics from the location-scale family of distributions.
Abstract
We consider stochastic comparisons of minimum order statistics from the location–scale family of distributions that contain most of the popular lifetime distributions. Under certain assumptions, we show that the minimum order statistic of one set of random variables dominates that of another set of random variables with respect to different stochastic orders. Furthermore, we illustrate our results using some well-known specific distributions.
Year
DOI
Venue
2017
10.1016/j.jmva.2017.06.001
J. Multivariate Analysis
Keywords
Field
DocType
Majorization orders, Series system, Schur-convex/concave function, Stochastic orders, 60E15
Exponentiated Weibull distribution,Statistical parameter,Random variable,Location-scale family,Weibull distribution,Generalized Pareto distribution,Statistics,Order statistic,Mathematics
Journal
Volume
Issue
ISSN
160
2
0047-259X
Citations 
PageRank 
References 
0
0.34
5
Authors
4
Name
Order
Citations
PageRank
Nil Kamal Hazra1113.72
Mithu Rani Kuiti200.68
Maxim Finkelstein323341.24
Asok K. Nanda4265.28