Abstract
RATIO estimators are frequently employed in sample surveys when estimating the population mean Ȳ of a variate y with the help of the known population mean X̄ of a correlated variable x. Confining ourselves to the case of a simple random sample of n pairs y i, X i from a population of N pairs, various ratio estimators of Ȳ can be formed of which the most important ones are &ytilde; = X̄ȳ/x̄ and ŷ = X̄r̄, where ȳ, x̄ and r̄ are the arithmetic means of the sample of y i/x i and y i/x i, respectively.
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HARTLEY, H., Ross, A. Unbiased Ratio Estimators. Nature 174, 270–271 (1954). https://doi.org/10.1038/174270a0
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DOI: https://doi.org/10.1038/174270a0
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