On the class of exponential-type imputation estimators of population mean with known population mean of auxiliary variable

Author : A. audu, o. o. ishaq, u. isah, s. muhammed, k. a. akintola, a. rashida, a. abubakar

Keyword : Imputation, estimators, mse (mean squared error), pre (percentage relative efficiency)

Subject : Mathematics

Article Type : Original article (research)

DOI : 10.37933/nipes/2.4.2020.1

Article File : Full Text PDF

Abstract : This paper considered a new class of exponential-type imputation scheme and the point estimator of the proposed scheme for estimating population mean was derived. Members of the derived estimator for different pairs of constants 1  and K2 ((k1=1, k2=1), (k1=1, k2=-1), (k1=-1, k2=1), (k1=-1, k2=-1)) were obtained. The properties (bias and MSE) of the proposed estimator were derived up to second degree approximation using Taylor’s series procedure. Efficiency conditions for which the new class of estimators outperformed their counterparts were also derived by theoretically compared their MSEs. Empirical study was conducted through simulations using four probability distributions. The numerical results revealed that the members of the proposed estimator have less biases, smaller MSEs and larger PREs compared to other estimators in the study.

Article by : Dr Ahmed Audu

Article add date : 2020-12-07

How to cite : A. audu, o. o. ishaq, u. isah, s. muhammed, k. a. akintola, a. rashida, a. abubakar. (2020-December-07). On the class of exponential-type imputation estimators of population mean with known population mean of auxiliary variable. retrieved from https://openacessjournal.com/abstract/394