A Robust Regression Type Estimator for Estimating Population Mean under Non-Normality in the Presence of Non-Response

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Sanjay Kumar
Sanjay Kumar
1 Central University of Rajasthan

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A Robust Regression Type Estimator for Estimating Population Mean under Non-Normality in the Presence of Non-Response Banner
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In sampling theory, regression type estimators are extensively used to estimate the population mean when the correlation between study and auxiliary variables is high. In this study, we incorporate robust modified maximum likelihood estimators (MMLEs) into regression type estimator in the presence of non-response and their properties have been obtained theoretically. For the support of the theoretical outcomes, simulations under several super-population models have been made. We study the robustness properties of these modified estimators. We show that utilization of MMLEs in estimating finite populations mean leads to robust estimates, which is very advantageous when we have non-normality or other common data anomalies such as outliers.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

Sanjay Kumar. 2015. \u201cA Robust Regression Type Estimator for Estimating Population Mean under Non-Normality in the Presence of Non-Response\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F7): .

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Issue Cover
GJSFR Volume 15 Issue F7
Pg. 43- 55
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 93D21
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v1.2

Issue date

September 24, 2015

Language

English

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In sampling theory, regression type estimators are extensively used to estimate the population mean when the correlation between study and auxiliary variables is high. In this study, we incorporate robust modified maximum likelihood estimators (MMLEs) into regression type estimator in the presence of non-response and their properties have been obtained theoretically. For the support of the theoretical outcomes, simulations under several super-population models have been made. We study the robustness properties of these modified estimators. We show that utilization of MMLEs in estimating finite populations mean leads to robust estimates, which is very advantageous when we have non-normality or other common data anomalies such as outliers.

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A Robust Regression Type Estimator for Estimating Population Mean under Non-Normality in the Presence of Non-Response

Sanjay Kumar
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