An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response
This paper presents a new general family of estimators to estimate the population mean of study variable y in the presence of non-response when utilizing a known coefficient of variation of study variable y. The expressions for bias, mean squared error (MSE), and minimum mean squared error (MMSE) of...
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| Format: | Article |
| Language: | English |
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ITB Journal Publisher
2017-12-01
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| Series: | Journal of Mathematical and Fundamental Sciences |
| Subjects: | |
| Online Access: | http://journals.itb.ac.id/index.php/jmfs/article/view/4692 |
| _version_ | 1817969592419483648 |
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| author | Thanapanang Rachokarn Nuanpan Lawson |
| author_facet | Thanapanang Rachokarn Nuanpan Lawson |
| author_sort | Thanapanang Rachokarn |
| collection | DOAJ |
| description | This paper presents a new general family of estimators to estimate the population mean of study variable y in the presence of non-response when utilizing a known coefficient of variation of study variable y. The expressions for bias, mean squared error (MSE), and minimum mean squared error (MMSE) of the proposed family of estimators are derived up to the first degree of approximation. In addition, a numerical example and a simulation study are presented to explain the performance of the proposed estimators. It was shown that the proposed estimators perform better compared to all other relevant estimators. |
| first_indexed | 2024-04-13T20:24:02Z |
| format | Article |
| id | doaj.art-a6533f1309f546e6b8020ac2d50643c1 |
| institution | Directory Open Access Journal |
| issn | 2337-5760 2338-5510 |
| language | English |
| last_indexed | 2024-04-13T20:24:02Z |
| publishDate | 2017-12-01 |
| publisher | ITB Journal Publisher |
| record_format | Article |
| series | Journal of Mathematical and Fundamental Sciences |
| spelling | doaj.art-a6533f1309f546e6b8020ac2d50643c12022-12-22T02:31:27ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102017-12-0149328329310.5614/j.math.fund.sci.2017.49.3.6An Efficient General Family of Estimators for Population Mean in the Presence of Non-ResponseThanapanang Rachokarn0Nuanpan Lawson 1Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandThis paper presents a new general family of estimators to estimate the population mean of study variable y in the presence of non-response when utilizing a known coefficient of variation of study variable y. The expressions for bias, mean squared error (MSE), and minimum mean squared error (MMSE) of the proposed family of estimators are derived up to the first degree of approximation. In addition, a numerical example and a simulation study are presented to explain the performance of the proposed estimators. It was shown that the proposed estimators perform better compared to all other relevant estimators.http://journals.itb.ac.id/index.php/jmfs/article/view/4692auxiliary variablesbiasmean squared errorratio estimatorstudy variables |
| spellingShingle | Thanapanang Rachokarn Nuanpan Lawson An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response Journal of Mathematical and Fundamental Sciences auxiliary variables bias mean squared error ratio estimator study variables |
| title | An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response |
| title_full | An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response |
| title_fullStr | An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response |
| title_full_unstemmed | An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response |
| title_short | An Efficient General Family of Estimators for Population Mean in the Presence of Non-Response |
| title_sort | efficient general family of estimators for population mean in the presence of non response |
| topic | auxiliary variables bias mean squared error ratio estimator study variables |
| url | http://journals.itb.ac.id/index.php/jmfs/article/view/4692 |
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