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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.
Mathematics Subject Classification:
Acknowledgments
Author is thankful to the reviewers for their valuable suggestions leading to improvement in the quality of content and presentation over the original version of the manuscript. Author is also thankful to Science and Engineering Research Board, New Delhi, India for providing financial assistance to carry out the present work and acknowledge the free access to the data by https://mohfw.gov.in
Disclosure statement
No potential conflict of interest was reported by the author.