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Median Estimation Using Double Sampling

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This paper proposes a general class of estimators for estimating the median in double sampling. The position estimator, stratification estimator and regression type estimator attain the minimum variance of the general class of estimators. The optimum values of the first-phase and second-phase sample sizes are also obtained for the fixed cost and the fixed variance cases. An empirical study examines the performance of the double sampling strategies for median estimation. Finally, an extension of the methods of Chen & Qin (1993) and Kuk & Mak (1994) is considered for the double sampling strategy.
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Keywords: auxiliary information; cost aspects; empirical study; median estimation; two-phase sampling; variance

Document Type: Research Article

Affiliations: 1: Dept of Mathematics and Statistics, University of Saskatchewan, Canada, 2: Dept of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Saudi Arabia, 3: Dept of Mathematics and Statistics, University of Windsor, Canada

Publication date: March 1, 2001

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