Estimation of finite population mean using two auxiliary variables in sample surveys

Article type: Research Article

Authors: Tailor, Rajesh | Tailor, Ritesh^{; *}

Affiliations: School of Studies in Statistics, Vikram University, Ujjain, M.P., India

Correspondence: [*] Corresponding author. Lokmanya Tilak Mahavidyalaya, Ujjain-456010, M.P., India. E-mail: [email protected].

Abstract: This paper proposes two ratio-cum-product estimators of a finite population mean using coefficient of variation of auxiliary variates and correlation coefficient between auxiliary variates. The bias and mean squared error of the proposed estimators are obtained under large sample approximation. Two almost unbiased ratio-cum-product estimators have also been obtained by using Jackknife technique given by Quenouille [3]. Proposed estimators have been compared with simple mean estimator, usual ratio estimator, product estimator, estimators proposed by Singh [2] and Singh and Tailor [6]. An empirical study is carried out to examine the performance of the proposed estimators.

Keywords: Finite population mean, coefficient of variation, correlation coefficient, bias, mean squared error

DOI: 10.3233/MAS-2008-3402

Journal: Model Assisted Statistics and Applications, vol. 3, no. 4, pp. 297-303, 2008