Some Classes of Logarithmic-Type Imputation Techniques for Handling Missing Data

Author:

Pandey Awadhesh K.1ORCID,Singh G. N.2ORCID,Bhattacharyya D.2ORCID,Ali Abdulrazzaq Q.3ORCID,Al-Thubaiti Samah4,Yakout H. A.5

Affiliation:

1. Department of Mathematics, School of Physical Sciences, DIT University, Dehradun, Uttarakhand 248 009, India

2. Department of Mathematics & Computing, Indian Institute of Technology (ISM), Dhanbad 826 004, Jharkhand, India

3. Mharat Academy for Training & Development, Ibb, Yemen

4. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11 099, Taif 21 944, Saudi Arabia

5. Department of Physics, College of Science, King Khalid University, PO Box 9004, Abha 61 413, Saudi Arabia

Abstract

In this manuscript, three new classes of log-type imputation techniques have been proposed to handle missing data when conducting surveys. The corresponding classes of point estimators have been derived for estimating the population mean. Their properties (Mean Square Errors and bias) have been studied. An extensive simulation study using data generated from normal, Poisson, and Gamma distributions, as well as real dataset, has been conducted to evaluate how the proposed estimator performs in comparison to several contemporary estimators. The results have been summarized, and discussion regarding real-life applications of the estimator follows.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Mathematics,General Medicine,General Neuroscience,General Computer Science

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