Generalized Estimator of Population Mean Using Auxiliary Information in Presence of Measurement Errors
DOI:
https://doi.org/10.13052/jrss0974-8024.1624Keywords:
Auxiliary variable, bias, mean squared error, efficiency and measurement errorsAbstract
It is assumed in survey research that the respondent’s reported response is precise. More often, due to prestige bias, the data provided by respondents frequently include estimates that are significantly different from the genuine values. As a consequence, measurement error is present in the sample estimates that may affect the results. Therefore, this study illustrates an improved generalized estimator that utilizes auxiliary data under measurement error. A numerical study to establish its effectiveness is also conducted.
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References
Cochran, W.G.(1968): Errors of Measurement in Statistics, Technometrics, 10, 637–666.
Gujrati, D.N., Porter, D.C. and Gunasekar Sangeetha (2012): Basic Econometrics, Fifth Edition, McGraw-Hill Education (India) Private Limited, New Delhi.
Lessler Judith. T. and Kalsbeek, William, D. (1992): Non-Sampling Error in Surveys, John Wiley and Sons.
Maneesha and Singh R.K. (2002): Role of regression estimator involving measurement errors, Brazilian Journal of Probability and Statistics, 16, 39–46.
Misra, S. and Yadav, D. K. (2015): Estimating population mean using known coefficient of variation under measurement errors, in the edited book “Statistics and Informatics in Agricultural Research”, edited by Indian Society of Agricultural Statistics (ISAS), Library Avenue, Pusa, New Delhi and published by Excel India Publishers, New Delhi, ISBN 978-93-84869-98-4, pp. 175–182.
Paul P. Biemer, Robert M. Groves, Lars E. Lyberg, Nancy A. Mathiowetz and Seymour Sudman (1991): Measurement Errors in Surveys, New York: Wiley.
Sukhatme, P. V. and G.R. Seth (1952): Non Sampling Errors in Surveys, Journal of the Indian Society of Agricultural Statistics, 4, 5–41.
Shalabh (1997): Ratio Method of Estimation in the Presence of Measurement Errors, Journal of Indian Society of Agricultural Statistics, Vol. I, No. 2, 150–155.
Singh H.P. and Karpe, N. (2009): A General Procedure for Estimating the General Parameter using Auxiliary Information in Presence of Measurement Errors, Communication of the Korean Statistical Society, 16(5), 821–840.
