Small area estimation (SAE) has received a lot of concern of sample survey statisticians in last few years in want of reliable small area statistics which is generally not possible to get by traditional area-specific direct estimators due to very small size of samples in small area. This paper has been devoted to the development of an efficient sampling strategy by suggesting a one-parameter class of estimators for the estimation of parameters of small area using one auxiliary characteristic. The suggested class provides a class of synthetic estimators. Certain important properties have been discussed with. In order to demonstrate the superiority of the suggested estimators over some existing synthetic estimators, a simulation study has been carried out with the help of an empirical data.
K. Singh, V. and K. Seth, S.
"On the Use of One-Parameter Family of Synthetic Estimators for Small Areas,"
Journal of Statistics Applications & Probability: Vol. 3
, Article 6.
Available at: https://dc.naturalspublishing.com/jsap/vol3/iss3/6