Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean
This paper presents three confidence intervals for the coefficient of variation in a normal distribution with a known population mean. One of the proposed confidence intervals is based on the normal approximation. The other proposed confidence intervals are the shortest-length confidence interval an...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2013/324940 |
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| _version_ | 1832552708519755776 |
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| author | Wararit Panichkitkosolkul |
| author_facet | Wararit Panichkitkosolkul |
| author_sort | Wararit Panichkitkosolkul |
| collection | DOAJ |
| description | This paper presents three confidence intervals for the coefficient of variation in a normal distribution with a known population mean. One of the proposed confidence intervals is based on the normal approximation. The other proposed confidence intervals are the shortest-length confidence interval and the equal-tailed confidence interval. A Monte Carlo simulation study was conducted to compare the performance of the proposed confidence intervals with the existing confidence intervals. Simulation results have shown that all three proposed confidence intervals perform well in terms of coverage probability and expected length. |
| format | Article |
| id | doaj-art-59d49f6a7399445ca7e3aece44d4658b |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-59d49f6a7399445ca7e3aece44d4658b2025-02-03T05:57:58ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/324940324940Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population MeanWararit Panichkitkosolkul0Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Phathum Thani 12120, ThailandThis paper presents three confidence intervals for the coefficient of variation in a normal distribution with a known population mean. One of the proposed confidence intervals is based on the normal approximation. The other proposed confidence intervals are the shortest-length confidence interval and the equal-tailed confidence interval. A Monte Carlo simulation study was conducted to compare the performance of the proposed confidence intervals with the existing confidence intervals. Simulation results have shown that all three proposed confidence intervals perform well in terms of coverage probability and expected length.http://dx.doi.org/10.1155/2013/324940 |
| spellingShingle | Wararit Panichkitkosolkul Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean Journal of Probability and Statistics |
| title | Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean |
| title_full | Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean |
| title_fullStr | Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean |
| title_full_unstemmed | Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean |
| title_short | Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean |
| title_sort | confidence intervals for the coefficient of variation in a normal distribution with a known population mean |
| url | http://dx.doi.org/10.1155/2013/324940 |
| work_keys_str_mv | AT wararitpanichkitkosolkul confidenceintervalsforthecoefficientofvariationinanormaldistributionwithaknownpopulationmean |