General Parameters Estimation in the Presence of Nonresponse Using Difference-cum Exponential Estimators

Muse, Benard O. and Oluwafunminiyi, Ogundele Joshua and Peter, Oluwagunwa Abiodun and Oluwapelumi, Alabi (2022) General Parameters Estimation in the Presence of Nonresponse Using Difference-cum Exponential Estimators. Asian Research Journal of Mathematics, 18 (11). pp. 186-202. ISSN 2456-477X

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Abstract

Non response is a common problem in a survey process. Therefore, it is necessary to find a way out of handling non response whenever arises. The current study proposed difference-cum exponential ratio-type estimator for estimation of general parameters using auxiliary information which is defined in two situations of non response. A conventional estimator t*(a,b) is used to define population constants including population mean, standard deviation, coefficient of variation and mean square. The expression of bias and mean square error of the proposed estimators are obtained up to the first order of approximation for situation I and situation II. To compare the efficiency of the proposed estimators over the existing ones, an empirical study is carried out using real and simulated data sets. Both the theoretical and empirical study shows that the proposed class of estimators outperformed other existing estimators.

Item Type: Article
Uncontrolled Keywords: Non response auxiliary variable bias efficiency mean squared error study variable
Subjects: SCI Archives > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 28 Oct 2022 06:27
Last Modified: 01 Jul 2024 03:59
URI: http://science.classicopenlibrary.com/id/eprint/10

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