An Alternative Class of Ratio-Regression-Type Estimator under Two-Phase Sampling Scheme

Authors

Muhammad Isah, Binyaminu Usman Polytechnic, Hadejia, Nigeria
Zakari Yahaya, Ahmadu Bello University, Zaria, NigeriaFollow
Audu Ahmed, Usman Danfodiyo University, Sokoto, Nigeria

Keywords

Auxiliary variable, bias, double-sampling, efficiency, mean square error

Abstract

In this study, a new exponential ratio-regression estimator is developed using an auxiliary variable for estimating the finite population mean under a two-phase sampling system. The Bias and Mean Square Error (MSE) of the proposed estimator are derived and compared with some of the estimators in extant literature. Thus, the conditions under which the proposed estimator is better than some existing estimators are provided. Empirically, using four real datasets and simulation study, the proposed estimator performs better than the classical ratio, classical regression, exponential ratio, and exponential regression cum ratio estimator when compared using the criteria of bias, mean square error and percentage relative efficiency. The proposed estimator can be used to estimate the averages of economic variables such as inflation, exchange rate, and standard of living for policy formulation.

Author Bio

The authors are staff of Binyaminu Usman Polytechnic, Hadejia, Binyaminu Usman Polytechnic, Hadejia and Usman Danfodiyo University, Sokoto, Nigeria respectively.

Publication Title

CBN Journal of Applied Statistics

Issue

No. 2

Volume

Vol. 12

Recommended Citation

Isah, Muhammad; Yahaya, Zakari; and Ahmed, Audu (2024) "An Alternative Class of Ratio-Regression-Type Estimator under Two-Phase Sampling Scheme," CBN Journal of Applied Statistics (JAS): Vol. 12: No. 2, Article 1.
Available at: https://dc.cbn.gov.ng/jas/vol12/iss2/1