General Parameters Estimation in the Presence of Nonresponse Using Difference-cum Exponential Estimators
Alabi Oluwapelumi *
Department of Mathematics and Statistics, Rufus Giwa Polytechnic, Owo, Ondo State, Nigeria and Department of Statistics, Federal University of Technology, Akure, Nigeria.
Oluwagunwa Abiodun Peter
Department of Mathematics and Statistics, Rufus Giwa Polytechnic, Owo, Ondo State, Nigeria.
Ogundele Joshua Oluwafunminiyi
Department of Mathematics and Statistics, Rufus Giwa Polytechnic, Owo, Ondo State, Nigeria.
Benard O. Muse
Department of Mathematics and Statistics, Rufus Giwa Polytechnic, Owo, Ondo State, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Non response, auxiliary variable, bias, efficiency, mean squared error, study variable