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Median Estimation Using Double Sampling
Author(s) -
Singh Sarjinder,
Joarder Anwar H.,
Tracy D.S.
Publication year - 2001
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00153
Subject(s) - mathematics , estimator , statistics , minimum variance unbiased estimator , sampling (signal processing) , stratified sampling , filter (signal processing) , computer science , computer vision
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.