Author： Balakrishnan N.
Publisher： Taylor & Francis Ltd
ISSN： 0361-0918
Source： Communications in Statistics: Simulation and Computation, Vol.38, Iss.4, 2009-04, pp. : 802-820
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Abstract
In this article, Pitman closeness of sample order statistics to population quantiles of a location-scale family of distributions is discussed. Explicit expressions are derived for some specific families such as uniform, exponential, and power function. Numerical results are then presented for these families for sample sizes n = 10,15, and for the choices of p = 0.10, 0.25, 0.75, 0.90. The Pitman-closest order statistic is also determined in these cases and presented.
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