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A Class of Regression Estimator with Cum-Dual Product Estimator as Intercept

Β§ Federal University of Technology Akure, Nigeria

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A Class of Regression Estimator with Cum-Dual Product Estimator as Intercept

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Abstract

This paper examines a class of regression estimator with cum-dual product estimator as intercept for estimating the mean of the study variable Y using auxiliary variable X. We obtained the bias and the mean square error (MSE) of the proposed estimator. We also obtained MSE of its asymptotically optimum estimator (AOE). Theoretical and numerical validation of the proposed estimator was done to show it’s superiority over the usual simple random sampling estimator and ratio estimator, product estimator, cum-dual ratio and product estimator. It was found that the asymptotic optimal value of the proposed estimator performed better than other competing estimators and performed in exactly the same way as the regression estimator, when compared with the usual simple random estimator for estimating the average sleeping hours of undergraduate students of the department of statistics,

References

4 Cites in Article
  1. 1. T Srivenkataramana (1980). A dual to ratio estimator in sample surveys. Biometrika, 67(1), 199-204.
  2. 2. P Sukhatme,B Sukhatme,C Sok (1984). Sampling theory of surveys with applications. Ind. Soc. Ag. Stat
  3. 3. P Sukhatme,B Sukhatme (1970). Sampling theory of surveys with Applications. Sampling theory of surveys with Applications
  4. 4. F Yates (1960). Sampling methods in censuses and surveys. Sampling methods in censuses and surveys

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

N.A. Adegoke. 2015. "A Class of Regression Estimator with Cum-Dual Product Estimator as Intercept". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F3).

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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: 62J07
Version of record

v1.2

Issue date
May 4, 2015

Language
English
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A Class of Regression Estimator with Cum-Dual Product Estimator as Intercept

N.A. Adegoke
N.A. Adegoke Federal University of Technology Akure, Nigeria