Analyzing the behavior of general class of estimators of population mean in presence of correlated measurement errors

Kumari Priyanka

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 6, 2219-2235

Abstract: Measurement error, which occurs when some variables of interest cannot be observed exactly. It often leads to invalid conclusions and lamentable implications if ignored. Therefore, the aim of the present work is to investigate ways to handle them when the observations on both the study and auxiliary variables are spoiled with measurement errors. A general class of estimators for the estimation of population mean in presence of correlated measurement errors on study and auxiliary variables has been considered. The variations in the properties of the estimators under the influence of measurement errors has been discussed in detail. The considered class of estimators is compared with the recently proposed family of exponential-type estimators. Simulation studies are carried out to show the impact on the behavior of estimators due to variation in parameters of the measurement error model.

Date: 2024
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DOI: 10.1080/03610926.2022.2122842

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