Vol. 12, Issue 4 (2023)

Author(s):
Manish Kumar, Ashish Tiwari, Sarvesh Kumar Dubey, Praveen Singh and Shiv Kumar Rana

Abstract:
The present paper deals with the formulation of a composite class of estimators for the population mean. The necessary and sufficient conditions (NASCs) for the superiority of the proposed class as compared to the preliminary estimators are obtained on using the MSE criterion. An empirical analysis is conducted on using some real population data sets in order to assess the relative performances of the proposed class as compared to the preliminary estimators. The theoretical and empirical findings reveal the proposed class of the estimators is dominant over the well-known preliminary estimators.