title: A ratio chain-type exponential estimator for finite population mean using double sampling.
abstract: In this article, we have proposed a ratio chain-type exponential estimator for finite population mean of the study variable under double sampling scheme using auxiliary variables. The large sample properties of the suggested strategy are derived up to first order, of approximation, and its competence conditions are carried out under which the suggested estimator is performed better than the other existing estimators discussed in the literature. An empirical study shows that the suggested strategy is more efficient than the other relevant competing estimators under two phase sampling scheme.
authors: Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, 22060 Pakistan ; Carl Duisberg Center, Jägerstraße 64, 10117 Mitte-Berlin, Germany.
authors: Mursala
authors: M
authors: Khan
keywords: Auxiliary variable; Bias; Double sampling; Efficiency; Estimator; Mean squared-error; Study variable