Generalized Class of Estimators for Mean of Population through Imputation Technique Using SRSWOR
Shivani Kumari
Central University of South Bihar, Gaya, Bihar, India.
Kamlesh Kumar *
Central University of South Bihar, Gaya, Bihar, India.
*Author to whom correspondence should be addressed.
Abstract
In the current study, we have developed two generalized classes of estimators for estimating the mean of population based on imputation technique under simple random sampling without replacement (SRSWOR), and their statistical properties have been derived. Traditional imputation techniques such as mean and ratio methods have been found to be the particular cases of the developed imputation techniques. Also, some estimators discussed in the literature have been found as the members of the developed generalized class of estimators. Developed estimators outperform under the given mathematical conditions. It is then verified with the help of empirical study using two authentic datasets.
Keywords: Estimators, imputation, bias, missing data