Journal of Official Statistics, Vol.15, No.1, 1999. pp. 25–38
A New Bias-reducing Modification of the Finite Population Ratio Estimator and a Comparison Among Proposed Alternatives
Abeidi S. Mussa
Abstract:A modification of the standard ratio estimator is proposed which, like Chakrabarty's
(1979) estimators, is in the family of Srivastava's (1980) class of generalized estimators
of a finite-population mean or total. The proposed estimator is contrasted with the sample
mean, the standard ratio estimator, and Chakrabarty's modified estimators in terms of bia
and variance properties across a variety of finite-population characteristics. The new
estimator performed comparably to Chakrabarty's estimators overall, and performed better
than Chakrabarty's estimators for several sets of finite-population characteristics.
Keywords:Unbiased estimator; ratio estimator; mean squared error; efficiency.
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