Estimation of population distribution function in the presence of non-response

Year 2018, Volume: 47 Issue: 2, 471 - 511, 01.04.2018

Mazhar Yaqub Javid Shabbir

Abstract

This article addresses the problem of estimating the population distribution function in the presence of non-response. We suggest a general class of estimators for estimating the cumulative distribution function using the auxiliary information. Expressions for bias and mean squared error of considered estimators are derived up to the first order of approximation. The performance of estimators are compared theoretically and numerically. A numerical study is carried out to evaluate the performances of estimators.

Keywords

Auxiliary variable, absolute relative bias, cumulative distribution function, mean squared error, relative efficiency

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