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On the Nearness of Records to Population Quantiles with Respect to Order Statistics in the Sense of Pitman Closeness

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  • Mosayeb Ahmadi
  • G. R. Mohtashami Borzadaran

Abstract

In this paper, Pitman closeness criterion is used to compare the nearness of record values and order statistics from two 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.

Suggested Citation

  • Mosayeb Ahmadi & G. R. Mohtashami Borzadaran, 2014. "On the Nearness of Records to Population Quantiles with Respect to Order Statistics in the Sense of Pitman Closeness," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(20), pages 4357-4370, October.
  • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:20:p:4357-4370
    DOI: 10.1080/03610926.2012.704226
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