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Improvement Over Transformed Auxiliary Variable in Estimating the Finite Population Mean
Author(s) -
Shabbir J.,
Yaab M.Z.
Publication year - 2003
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200390044
Subject(s) - estimator , mathematics , mean squared error , population mean , statistics , variable (mathematics) , population , mathematical analysis , demography , sociology
For estimating the finite population mean $ \bar Y $ of the study variable y, we propose a ratio‐type estimator which gives an improvement over estimators given by Upadhyaya and Singh (1999), Sisodia and Dwivedi (1981), and Singh and Kakran (1993). These estimators are compared by observing the bias and mean square error ( MSE ). In this empirical study, the suggested estimator under the optimal condition is found to be more efficient than the estimators mentioned above.