Journal
JOURNAL OF STATISTICAL THEORY AND PRACTICE
Volume 14, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/s42519-020-00107-6
Keywords
Auxiliary variable; Bias; Efficiency; Simple random sampling without replacement; Stratified sampling; Percent relative efficiency
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Shabbir (Commun Stat Theory Methods 47(1):92-101, 2018) suggested a new difference type estimator of finite population mean in stratified double sampling using the ranks of two auxiliary variables as additional information. In this paper, on applying Searls's (J Am Stat Assoc 59:1225-1226, 1964) approach to Shabbir's (2018) estimator, we propose an improved estimator of population mean. The expressions of bias and mean square error of the proposed estimator have been obtained, up to first order of approximation. Theoretical and numerical comparisons of the mean square error of the proposed estimator with that of various existing estimators have been made. It is observed that proposed estimator always performs better than Shabbir's (2018) estimator and also better than most of the other various existing estimators in the literature of survey sampling.
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