- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 5
- Homogeneous imputation under two phase probability proportional to size sampling
Homogeneous imputation under two phase probability proportional to size sampling
Authors : Muhammad Umair Sohail, Javid Shabbir, Cem Kadilar
Pages : 1522-1546
Doi:10.15672/hujms.465609
View : 9 | Download : 3
Publication Date : 2019-10-08
Article Type : Research
Abstract :In this paper, we consider the problem of missing complete at random (MCAR) values in two phase probability proportional to size ($ pps $) sampling for the estimation of population mean. A class of estimators is considered by the suitable use of auxiliary information with the traditional estimators for imputing the missing values. Theoretically, bias and mean squared errors of the proposed estimators are obtained up to the first order approximation. Two numerical studies are carried out for relative comparison of the proposed estimators with mean estimator under two phase $pps$ sampling for each situation.Keywords : missing values, two phase sampling, imputation, probability proportional to size, auxiliary information