A Two-Parameter Ratio-Product-Ratio Estimator Using Auxiliary Information. (14th October 2012)

• Record Type: Journal Article
• Authors: Chami, Peter S.; Sing, Bernd; Thomas, Doneal
• Other Names: Jorgensen P. E. Academic Editor.; Makis V. Academic Editor.
• Is Part Of: ISRN probability and statistics. Volume 2012(2012)
• Publication Date: 2012-10-14
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Electronic journals; Periodicals; 519
• DOI: 10.5402/2012/103860
• Languages: English
• ISSNs: 2090-4711

Abstract

Abstract : We propose a two-parameter ratio-product-ratio estimator for a finite population mean in a simple random sample without replacement following the methodology in the studies of Ray and Sahai (1980), Sahai and Ray (1980), A. Sahai and A. Sahai (1985), and Singh and Espejo (2003).The bias and mean squared error of our proposed estimator are obtained to the first degree of approximation. We derive conditions for the parameters under which the proposed estimator has smaller mean squared error than the sample mean, ratio, and product estimators. We carry out an application showing that the proposed estimator outperforms the traditional estimators using groundwater data taken from a geological site in the state of Florida.