Efficient estimation of population mean in the presence of non-response and measurement error

Kuldeep Kumar Tiwari; Vishwantra Sharma

doi:https://doi.org/10.59170/stattrans-2023-038

Efficient estimation of population mean in the presence of non-response and measurement error

Kuldeep Kumar Tiwari Department of Mathematics, Chandigarh University, Mohali, Punjab, India ORCID:https://orcid.org/0000-0001-5083-1206 , Vishwantra Sharma Directorate of Census Operations, Jammu and Kashmir, India ORCID:https://orcid.org/0000-0001-7387-0670 Statistics in Transition new series, vol. 24, 2023, 3, pages: 95-116 Published online: 13 June 2023 https://doi.org/10.59170/stattrans-2023-038 Citation: Tiwri, K. K., Sharma, V., 2023. Efficient estimation of population mean in the presence of non-response and measurement error. Statistics in Transition new series, 24(3), pp. 95-116. https://doi.org/10.59170/stattrans-2023-038

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ABSTRACT

In real-world surveys, non-response and measurement errors are common, therefore studying them together seems rational. Some population mean estimators are modified and studied in the presence of non-response and measurement errors. Bias and mean squared error expressions are derived under different cases. For all estimators, a theoretical comparison is made with the sample mean per unit estimator. The Monte-Carlo simulation is used to present a detailed picture of all estimators’ performance.

KEYWORDS

non-response, measurement error, mean squared error, efficiency, mean estimation

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