IMPUTATION OF MISSING VALUES BY USING RAW MOMENTS

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Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

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VOLUME 20 , ISSUE 1 (March 2019) > List of articles

IMPUTATION OF MISSING VALUES BY USING RAW MOMENTS

Muhammed Umair Sohail / Javid Shabbir / Farinha Sohil

Keywords : non-response, imputation, raw moments, relative efficiency. Mathematical classification: 62D05

Citation Information : Statistics in Transition New Series. Volume 20, Issue 1, Pages 21-40, DOI: https://doi.org/10.21307/stattrans-2019-002

License : (CC BY-NC-ND 4.0)

Published Online: 28-May-2019

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ABSTRACT

The estimation of population parameters might be quite laborious and inefficient, when the sample data have missing values. In comparison follow-up visits, the method of imputation has been found to be a cheaper procedure from a cost point of view. In the present study, we can enhance the performance of imputation procedures by utilizing the raw moments of the auxiliary information rather than their ranks, especially, when the ranking of the auxiliary variable is expensive or difficult to do so. Equations for bias and mean squared error are obtained by large sample approximation. Through the numerical and simulation studies it can be easily understood that the proposed method of imputation can outperform their counterparts.

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