On certain unbiased ratio estimators

Bar (unit) Sigma
DOI: 10.1007/bf02869522 Publication Date: 2008-08-02T03:01:21Z
ABSTRACT
We consider the two ratio type estimators $$\frac{{\bar y}}{{\bar x}}\bar X$$ and $$\frac{{\bar X}}{m}\Sigma \frac{{y_i }}{{x_i }}$$ for the estimation of $$\bar Y$$ and show how the estimators due to Murthy and Nanjamma, Hartley and Ross, and Nieto de Pascual can be obtained as linear combinations of these two. Some interesting relations among these estimators have been mentioned.
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