Journal of Mathematical and Fundamental Sciences
Vol. 53 No. 1 (2021)

A New Family of Exponential Type Estimators in the Presence of Non-Response

Ceren Unal (Department of Statistics, Faculty of Science, Hacettepe University, 06800 Beytepe, Ankara, Turkey)
Cem Kadilar (Department of Statistics, Faculty of Science, Hacettepe University, 06800 Beytepe, Ankara, Turkey)



Article Info

Publish Date
07 May 2021

Abstract

We propose families of estimators for the population mean using an exponential function in case of non-response. This situation is examined under two cases, Case I and II. The bias, MSE and minimum MSE are separately obtained for both cases. We compare the proposed estimators theoretically with the main estimators from the literature, such as Hansen and Hurwitz (1946), ratio, regression and exponential estimators. The conditions for which the proposed estimators are most efficient are obtained. Moreover, different empirical studies are conducted to support the theoretical results for both cases.

Copyrights © 2021






Journal Info

Abbrev

jmfs

Publisher

Subject

Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Description

Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, ...