Title : ( On the Nearness of Records to Population Quantiles with Respect Order Statistics in the Sense of Pitma Closenessn )
Authors: mosayeb ahmadi , Gholam Reza Mohtashami Borzadaran ,
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Abstract
In this paper, Pitman closeness criterion is used to compare the nearness of record values and order statistics fromtwo independent samples to a specific population quantile of the parent distribution while the underlying distributions are the same. General expressions for the associated Pitman closeness probability are obtained when the support of the parent distribution is bounded and also unbounded. Some distribution-free results are achieved for symmetric distributions. The exponential and uniform distributions are considered for illustrative proposes and exact expressions are obtained in each case.
Keywords
, Exponential distribution; Location, scale family; Pitman closeness; Quantiles
@article{paperid:1046443,
author = {Ahmadi, Mosayeb and Mohtashami Borzadaran, Gholam Reza},
title = {On the Nearness of Records to Population Quantiles with Respect Order Statistics in the Sense of Pitma Closenessn},
journal = {Communications in Statistics - Theory and Methods},
year = {2014},
volume = {43},
month = {September},
issn = {0361-0926},
pages = {4357--4370},
numpages = {13},
keywords = {Exponential distribution; Location-scale family; Pitman closeness; Quantiles},
}
%0 Journal Article
%T On the Nearness of Records to Population Quantiles with Respect Order Statistics in the Sense of Pitma Closenessn
%A Ahmadi, Mosayeb
%A Mohtashami Borzadaran, Gholam Reza
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2014
