Research Article

Improved Estimators For The Population Mean Under Non-Response

Volume: 36 Number: 2 June 1, 2023
EN

Improved Estimators For The Population Mean Under Non-Response

Abstract

We propose a novel family of estimators for the population mean under non-response and obtain the MSE equation of the suggested estimator for each situation in theory. These theoretical conditions are applied to three popular data sets in literature and we see that the suggested estimators are more efficient than the traditional estimators, such as ratio, regression estimators, in Case 1; whereas, in Case 2, the suggested estimators are also more efficient than the Unal-Kadilar exponential estimators that are more efficient than the traditional estimators for the same data sets. 

Keywords

References

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  2. [2] Cochran, W. G., “Sampling Techniques”, Third Edition, John Wiley and Sons, New-York, 448, (1977).
  3. [3] Bahl, S., Tuteja, R. K., “Ratio and product type exponential estimators”, Journal of Information and Optimization Sciences, 12(1): 159-164, (1991).
  4. [4] Yadav, S.K., Kadilar, C., “Efficient family of exponential estimators for the population mean”, Hacettepe Journal of Mathematics and Statistics, 42(6): 671-677, (2013).
  5. [5] Singh, H.P., Pal, S.K., “A new chain ratio-ratio-type exponential estimator using auxiliary information in sample surveys”, International Journal of Mathematics and its Applications, 3(4B): 37-46, (2015).
  6. [6] Hansen, M.H., Hurwitz, W.N., “The problem of non-response in sample surveys”, Journal of the American Statistical Association, 41(236): 517-529, (1946).
  7. [7] Rao, P. S. R. S., “Ratio estimation with sub sampling the non-respondents”, Survey Methodology, 12: 217–230, (1986).
  8. [8] Singh, R., Kumar, M., Chaudhary, M. K., Smarandache, F., “Estimation of mean in presence of non-response using exponential estimator”, arXiv preprint arXiv:0906.2462, (2009).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 1, 2023

Submission Date

May 5, 2021

Acceptance Date

May 23, 2022

Published in Issue

Year 2023 Volume: 36 Number: 2

APA
Rather, K. U. İ., & Kadılar, C. (2023). Improved Estimators For The Population Mean Under Non-Response. Gazi University Journal of Science, 36(2), 920-931. https://doi.org/10.35378/gujs.933452
AMA
1.Rather KUİ, Kadılar C. Improved Estimators For The Population Mean Under Non-Response. Gazi University Journal of Science. 2023;36(2):920-931. doi:10.35378/gujs.933452
Chicago
Rather, Khalid Ul İslam, and Cem Kadılar. 2023. “Improved Estimators For The Population Mean Under Non-Response”. Gazi University Journal of Science 36 (2): 920-31. https://doi.org/10.35378/gujs.933452.
EndNote
Rather KUİ, Kadılar C (June 1, 2023) Improved Estimators For The Population Mean Under Non-Response. Gazi University Journal of Science 36 2 920–931.
IEEE
[1]K. U. İ. Rather and C. Kadılar, “Improved Estimators For The Population Mean Under Non-Response”, Gazi University Journal of Science, vol. 36, no. 2, pp. 920–931, June 2023, doi: 10.35378/gujs.933452.
ISNAD
Rather, Khalid Ul İslam - Kadılar, Cem. “Improved Estimators For The Population Mean Under Non-Response”. Gazi University Journal of Science 36/2 (June 1, 2023): 920-931. https://doi.org/10.35378/gujs.933452.
JAMA
1.Rather KUİ, Kadılar C. Improved Estimators For The Population Mean Under Non-Response. Gazi University Journal of Science. 2023;36:920–931.
MLA
Rather, Khalid Ul İslam, and Cem Kadılar. “Improved Estimators For The Population Mean Under Non-Response”. Gazi University Journal of Science, vol. 36, no. 2, June 2023, pp. 920-31, doi:10.35378/gujs.933452.
Vancouver
1.Khalid Ul İslam Rather, Cem Kadılar. Improved Estimators For The Population Mean Under Non-Response. Gazi University Journal of Science. 2023 Jun. 1;36(2):920-31. doi:10.35378/gujs.933452

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