Alternative Ratio Estimator of Population Mean in Simple Random Sampling

Autor:	E. I. Enang, Emmanuel John Ekpenyong, Victoria M. Akpan
Rok vydání:	2014
Předmět:	Minimum-variance unbiased estimator Efficient estimator Bias of an estimator Mean squared error Consistent estimator Statistics Estimator Trimmed estimator Invariant estimator Mathematics
Zdroj:	Journal of Mathematics Research. 6
ISSN:	1916-9809 1916-9795
DOI:	10.5539/jmr.v6n3p54
Popis:	An alternative ratio estimator is proposed for a finite population mean of a study variable Y in simple random sampling using information on the mean of an auxiliary variable X, which is highly correlated with Y. Expressions for the bias and the mean square error of the proposed estimator are obtained. Both analytical and numerical comparisons have shown the proposed alternative estimator to be more efficient than some existing ones. The bias of the proposed estimator is also found to be negligible for all populations considered, indicating that the estimator is as good as the regression estimator and better than the other estimators under consideration.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::020644184a963cbc0ca1a13dbbd34379 https://doi.org/10.5539/jmr.v6n3p54 Zobrazit plný text záznamu