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Classes of combined population mean estimators utilizing transformedvariables under double sampling with application to air pollutionin Chiang Rai, Thailand |
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| รหัสดีโอไอ | |
| Creator | 1. Natthapat Thongsak 2. Nuanpan Lawson |
| Title | Classes of combined population mean estimators utilizing transformedvariables under double sampling with application to air pollutionin Chiang Rai, Thailand |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2565 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 5 |
| Page no. | 1390-1398 |
| Keyword | air pollution, bias, mean square error, ratio estimators, transformed variables |
| URL Website | https://sjst.psu.ac.th/ |
| ISSN | 0125-3395 |
| Abstract | The transformation method can be used to increase the efficiency of the variable of interest for estimating populationmean. Two classes of combined population mean estimators utilizing transformation on an auxiliary variable and on both anauxiliary variable and a study variable have been proposed under double sampling. The formulas of the biases and mean squareerrors of the proposed estimators are obtained. Simulation studies and an application to fine particulate matter 2.5 and nitrogendioxide pollution data in Chiang Rai, Thailand have been investigated to assess performance of the proposed estimatorscompared to other existing estimators. Under certain conditions, the results indicate that the proposed combined estimatorsperform much better than other existing estimators. |
