Title: Enhanced estimation of population mean under two-phase sampling

Authors: Shashi Bhushan; Anoop Kumar

Addresses: Department of Statistics, Lucknow University, Lucknow, 226007, India ' Department of Mathematics and Statistics, Dr. Shakuntala Misra National Rehabilitation University, Lucknow, 226017, India

Abstract: This study investigates an enhanced estimation procedure for the estimation of the population mean of the study variable by using the information on an auxiliary attribute under two-phase sampling. The suggested class of estimator incorporates several well-established estimators for suitably chosen values of characterising scalars. The properties such as bias and mean square error of suggested estimator are studied to the first order of approximation. The efficiency conditions are derived by comparing the MSE of the suggested class of estimator with the MSE of the existing estimators. The efficiency conditions are enhanced by an empirical study using some real datasets. The empirical findings are clearly demonstrating the ascendancy of the suggested class of estimator over all of the works discussed.

Keywords: auxiliary attribute; bias; mean square error; MSE; efficiency; two-phase sampling.

DOI: 10.1504/IJMMNO.2023.127835

International Journal of Mathematical Modelling and Numerical Optimisation, 2023 Vol.13 No.1, pp.34 - 48

Received: 20 Mar 2022
Accepted: 18 May 2022
Published online: 19 Dec 2022 *