Statistics and Probability Letters, ( ISI ), Volume (83), No (1), Year (2013-1) , Pages (148-156)

Title : ( Pitman closeness of current -records to population quantiles )

Authors: Mostafa Razmkhah , Jafar Ahmadi ,

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In this paper, the Pitman\\\'s measure of closeness of current $k$-records to the population quantiles is investigated. While the required probabilities typically depend on the underlying distribution, in this article, we show that they are distribution-free for the symmetric distributions. The exact expressions are derived for the case of uniform and exponential distributions. A real data set will be used to illustrate the results of the paper. Eventually, some conclusions are presented.


Symmetric distributions; Confidence intervals; Population median
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author = {Razmkhah, Mostafa and Ahmadi, Jafar},
title = {Pitman closeness of current -records to population quantiles},
journal = {Statistics and Probability Letters},
year = {2013},
volume = {83},
number = {1},
month = {January},
issn = {0167-7152},
pages = {148--156},
numpages = {8},
keywords = {Symmetric distributions; Confidence intervals; Population median},


%0 Journal Article
%T Pitman closeness of current -records to population quantiles
%A Razmkhah, Mostafa
%A Ahmadi, Jafar
%J Statistics and Probability Letters
%@ 0167-7152
%D 2013