Title : ( Expressions for the mean of the order statistics from the skew-normal distribution and their application )
Authors: Seyed Mahdi Salehi , Mahdi Doostparast ,
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Abstract
In design of experiments and reliability analyze, order statistics (OS) are used for various purposes including model checking, estimation of parameters and prediction. Most of these procedures are defined on the basis of the expectations of OS. In this paper, explicit expressions for moments of OS coming from the skew-normal (SN) distribution are derived. The SN model enjoys interesting properties from the normal distribution while captures asymmetric behaviour in the parent population. Two real data sets are analyzed as illustration purposes.
Keywords
, Order statistics, Skew-normal distribution, Goodness-of-fit test
@inproceedings{paperid:1049095,
author = {Salehi, Seyed Mahdi and Doostparast, Mahdi},
title = {Expressions for the mean of the order statistics from the skew-normal distribution and their application},
booktitle = {The 10-th Seminar on Probability and Stochastic Processes},
year = {2015},
location = {یزد, IRAN},
keywords = {Order statistics; Skew-normal distribution; Goodness-of-fit test},
}
%0 Conference Proceedings
%T Expressions for the mean of the order statistics from the skew-normal distribution and their application
%A Salehi, Seyed Mahdi
%A Doostparast, Mahdi
%J The 10-th Seminar on Probability and Stochastic Processes
%D 2015
