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

Sanjay Kumar
Sanjay Kumar
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

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Abstract

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.

References

12 Cites in Article
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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite 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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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 93D21
Version of record

v1.2

Issue date
September 24, 2015

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

Sanjay Kumar
Sanjay Kumar <p>Himachal Pradesh University</p>

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