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Volume 4, Issue 4, December 2018

An Empirical Examination of the Asymptotic Normality of the kth Order Statistic

Mbanefo Solomon Madukaife

Issue: Volume 4, Issue 4, December 2018

Pages: 68-73

Received: 29 October 2018

Accepted: 15 November 2018

Published: 29 January 2019

DOI: 10.11648/j.ijsd.20180404.11

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Abstract: In this paper, the equivalence of the sample pth quantile of a distribution and the kth order statistic of a random sample obtained from the distribution is reviewed. Based on the review, a new corollary on the almost sure convergence of the kth order statistic to the pth quantile was obtained without proof. Through an extensive Monte Carlo simulat... Show More

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