Classes of combined population mean estimators utilizing transformed variables under double sampling with application to air pollution in Chiang Rai, Thailand
The transformation method can be used to increase the efficiency of the variable of interest for estimating population mean. Two classes of combined population mean estimators utilizing transformation on an auxiliary variable and on both an auxiliary variable and a study variable have been propose...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Prince of Songkla University
2022-10-01
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| Series: | Songklanakarin Journal of Science and Technology (SJST) |
| Subjects: | |
| Online Access: | https://sjst.psu.ac.th/journal/44-5/30.pdf |
| Summary: | The transformation method can be used to increase the efficiency of the variable of interest for estimating population
mean. Two classes of combined population mean estimators utilizing transformation on an auxiliary variable and on both an
auxiliary variable and a study variable have been proposed under double sampling. The formulas of the biases and mean square
errors of the proposed estimators are obtained. Simulation studies and an application to fine particulate matter 2.5 and nitrogen
dioxide pollution data in Chiang Rai, Thailand have been investigated to assess performance of the proposed estimators
compared to other existing estimators. Under certain conditions, the results indicate that the proposed combined estimators
perform much better than other existing estimators. |
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| ISSN: | 0125-3395 |