Pitman closeness of current k-records to population quantiles

M. Razmkhah and Jafar Ahmadi

Statistics & Probability Letters, 2013, vol. 83, issue 1, 148-156

Abstract: 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.

Keywords: Symmetric distributions; Confidence intervals; Population median (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2012.08.010

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