Title of article
On usual multivariate stochastic ordering of order statistics from heterogeneous beta variables
Author/Authors
Balakrishnan، نويسنده , , Narayanaswamy and Barmalzan، نويسنده , , Ghobad and Haidari، نويسنده , , Abedin، نويسنده ,
Issue Information
دوفصلنامه با شماره پیاپی سال 2014
Pages
4
From page
147
To page
150
Abstract
Let X i ∼ beta ( α i , 1 ) and Y i ∼ beta ( γ i , 1 ) , i = 1 , 2 , be all independent. We show that ( α 1 , α 2 ) ⪰ m ( γ 1 , γ 2 ) implies ( Y 1 : 2 , Y 2 : 2 ) ≥ s t ( X 1 : 2 , X 2 : 2 ) . We then extend this result to the general case of the proportional reversed hazard rates (PRHR) model.
Keywords
Usual multivariate stochastic order , Order statistics , Exponentiated Weibull distribution , Proportional reversed hazard rates model , Beta distribution
Journal title
Journal of Multivariate Analysis
Serial Year
2014
Journal title
Journal of Multivariate Analysis
Record number
1566686
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