A Class of Exponential Estimator to Estimate the Population Mean in the Presence of Non-Response

Napattchan Dansawad

doi:10.14456/nujst.2019.33

Authors

Napattchan Dansawad Department of Applied Mathematics, Faculty of Science and Technology, Valaya Alongkorn Rajabhat University under the Royal Patronage

DOI:

https://doi.org/10.14456/nujst.2019.33

Keywords:

Exponential estimator, Study variable, Auxiliary variable, Non-response

Abstract

This paper presents a class of exponential estimator to estimate the population mean in the presence of non-response using a small amount of known auxiliary information, when non-response occurs only on the study variable. Furthermore, the study also proposes a modified exponential estimator using a linear combination of a few members of the proposed class. Properties of the proposed estimators are obtained up to first order approximation. Results from theoretical and empirical studies have shown that the proposed modified exponential estimator at its optimum performs more efficient than all other relevant estimators.

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