Difference-Cum-Ratio Estimators for Estimating Finite Population Coefficient of Variation in Simple Random Sampling
A. Audu
Department of Mathematics, Usmanu Danfodiyo University Sokoto, Nigeria.
M. A. Yunusa
Department of Mathematics, Usmanu Danfodiyo University Sokoto, Nigeria.
O. O. Ishaq *
Department of Statistics, Kano University of Science and Technology, Nigeria.
M. K. Lawal
Academic Planning Unit, Federal Polytechnic Bida, Nigeria.
A. Rashida
State College of Basic and Remedial Studies, Sokoto, Nigeria.
A. H. Muhammad
State College of Basic and Remedial Studies, Sokoto, Nigeria.
A. B. Bello
State College of Basic and Remedial Studies, Sokoto, Nigeria.
M. U. Hairullahi
State College of Basic and Remedial Studies, Sokoto, Nigeria.
J. O. Muili
Department of Mathematics, Usmanu Danfodiyo University Sokoto, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, three difference-cum-ratio estimators for estimating finite population coefficient of variation of the study variable using known population mean, population variance and population coefficient of variation of auxiliary variable were suggested. The biases and mean square errors (MSEs) of the proposed estimators were obtained. The relative performance of the proposed estimators with respect to that of some existing estimators were assessed using two populations’ information. The results showed that the proposed estimators were more efficient than the usual unbiased, ratio type, exponential ratio-type, difference-type and other existing estimators considered in the study.
Keywords: Auxiliary variable, MSE, coefficient of variation, study variable, simple random sampling