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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
HARTLEY, H., Ross, A. Unbiased Ratio Estimators. Nature 174, 270–271 (1954). https://doi.org/10.1038/174270a0
Issue Date:
DOI: https://doi.org/10.1038/174270a0
- Springer Nature Limited
This article is cited by
-
Unrepresentative big surveys significantly overestimated US vaccine uptake
Nature (2021)
-
On Making Valid Inferences by Integrating Data from Surveys and Other Sources
Sankhya B (2021)
-
A methodology to answer to individual queries : finding relevant and robust controls
Behaviormetrika (2021)
-
Estimation of rare and clustered population mean using stratified adaptive cluster sampling
Environmental and Ecological Statistics (2020)
-
On auxiliary information-based control charts for autocorrelated processes with application in manufacturing industry
The International Journal of Advanced Manufacturing Technology (2019)