Improved family of estimators using exponential function for the population mean in the presence of non-response


ÜNAL C. , KADILAR C.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2019
  • Doi Number: 10.1080/03610926.2019.1634818
  • Title of Journal : COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

Abstract

In this article, we propose families of estimators using the exponential function for the population mean in the case of non-response under two different cases. The expressions for the Bias and Mean Square Error (MSE) are derived to the first degree of approximation and theoretical comparisons are made with existing estimators in literature. Following theoretical comparisons, we demonstrate that the proposed family of estimators is more efficient than various compared estimators, under the obtained conditions. Furthermore, these theoretical results are supported numerically by an empirical study presenting the efficiencies of the proposed families of estimators.