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On a Class of Almost Unbiased Ratio Estimators
Author(s) -
Biradar R. S.,
Singh H. P.
Publication year - 1992
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.4710340807
Subject(s) - estimator , mathematics , minimum variance unbiased estimator , statistics , u statistic , bias of an estimator , ratio estimator , class (philosophy) , weighting , efficiency , efficient estimator , stein's unbiased risk estimate , population , extremum estimator , m estimator , computer science , demography , artificial intelligence , medicine , sociology , radiology
A class of almost unbiased ratio estimators for population mean σ is derived by weighting sample σ = (1/ n ) σ y i , ratio estimators σ and an estimator, σ ( y i / x i ). It is shown that NIETO DE PASCUAL (1961) estimator is a particular member of the class and an optimum estimator in the class (in the minimum variance sense) is identified. The results are illustrated through two numerical examples.