Stochastic ordering constraint for ordered extremes

The constraint of two ordered extreme minima random variables when one variable is consider to be stochastically smaller than the other one has been carried out in this article. The quantile functions of the probability distribution have been used to establish partial ordering between the two variab...

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Bibliographic Details
Main Author: Adam, Mohd Bakri
Format: Article
Language:English
Published: Penerbit UTM Press 2017
Online Access:http://psasir.upm.edu.my/id/eprint/64100/1/Stochastic%20ordering%20constraint%20for%20ordered%20extremes.pdf
http://psasir.upm.edu.my/id/eprint/64100/
https://matematika.utm.my/index.php/matematika/article/view/769
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Summary:The constraint of two ordered extreme minima random variables when one variable is consider to be stochastically smaller than the other one has been carried out in this article. The quantile functions of the probability distribution have been used to establish partial ordering between the two variables. Some extensions and generalizations are given for the stochastic ordering using the important of sign of the shape parameter.