Generalized exponential type estimator of population mean in the presence of non-response

Siraj  Muneer; Javid  Shabbir; Alamgir  Khalil

Siraj Muneer Department of Statistics, University of Peshawar, Peshawar, Pakistan. , Javid Shabbir Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan. , Alamgir Khalil Department of Statistics, University of Peshawar, Peshawar, Pakistan. Statistics in Transition new series, vol. 19, 2018, 2, pages: 259-276 Published online: 1 June 2018

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ABSTRACT

In this article, we propose a class of generalized exponential type estimators to estimate the finite population mean by using two auxiliary variables under non-response in simple random sampling. The proposed estimator under non-response in different situations has been studied and gives minimum mean square error as compared to all other considered estimators. Usual exponential ratio type estimator, exponential product type estimator and many more estimators are also identified from the proposed estimator. We use three real data sets to obtain the efficiencies of estimators.

KEYWORDS

auxiliary variables, bias, MSE, efficiency, non-response.

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