Efficient and alternative approaches for imputing missing data to estimate population mean

Awadhesh K. Pandey (), G. N. Singh, D. Bhattacharyya and Pawan Kumar Singh
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Awadhesh K. Pandey: O. P. Jindal Global University
G. N. Singh: Indian Institute of Technology (ISM)
D. Bhattacharyya: Amrita Vishwa Vidyapeetham Coimbatore
Pawan Kumar Singh: University of Delhi

Quality & Quantity: International Journal of Methodology, 2024, vol. 58, issue 6, No 36, 5883-5897

Abstract: Abstract Missing data is a routine occurrence in surveys for collecting data. The manuscript presents two novel classes of imputation techniques based on the logarithmic function. Each imputation technique leads to a novel class of point estimator which can be utilized to provide estimates of population mean. Expressions for their bias and mean square errors have been derived. Data has been collected from literature, as well as simulated from three probability distributions to illustrate the performance of the proposed class of estimators when compared with other well-known estimators. Finally, the findings are showcased, and suggestions are put forth for potential real-world implementations.

Keywords: Auxiliary information; Estimation; Imputation; Missing data; Population mean; Simulation study; Survey sampling; 62D05 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11135-024-01914-w

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