Pitman closeness results concerning ranked set sampling

Mohammad Jafari Jozani, Katherine F. Davies and Narayanaswamy Balakrishnan

Statistics & Probability Letters, 2012, vol. 82, issue 12, 2260-2269

Abstract: We first compare the ranked set sampling (RSS) and simple random sampling schemes for the estimation of the population median through Pitman’s measure of closeness. Then, by using Banks’ criterion, we determine the frequency with which an individual order statistic is closer to the median than some symmetric estimator in an ϵ-neighbourhood of the median. Finally, we consider the simultaneous Pitman closeness criterion and identify the median RSS as the optimal RSS scheme for estimating the population median.

Keywords: Pitman closeness; Order statistics; Simultaneous Pitman closeness; Ranked set sampling; Banks’ criterion (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2012.08.011

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