Lower Confidence Bounds for the Probabilities of Correct Selection
We extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting the t best populations (PCSt) simultaneously for all t=1,…,k−1 for the general scale parameter models, where k is the number of populations i...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2011/765058 |
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| _version_ | 1832549291770511360 |
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| author | Radhey S. Singh Narinder Kumar |
| author_facet | Radhey S. Singh Narinder Kumar |
| author_sort | Radhey S. Singh |
| collection | DOAJ |
| description | We extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting the t best populations (PCSt) simultaneously for all t=1,…,k−1 for the general scale parameter models, where k is the number of populations involved in the selection problem. The application of the results to the exponential and normal probability models is discussed. The implementation of the simultaneous lower confidence bounds for PCSt is illustrated through real-life datasets. |
| format | Article |
| id | doaj-art-1f6ed5b72edd47c08526ce5c53833223 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-1f6ed5b72edd47c08526ce5c538332232025-02-03T06:11:40ZengWileyJournal of Probability and Statistics1687-952X1687-95382011-01-01201110.1155/2011/765058765058Lower Confidence Bounds for the Probabilities of Correct SelectionRadhey S. Singh0Narinder Kumar1Department of Mathematics and Statistics, University of Guelph, ON, N1G 2W1, CanadaDepartment of Statistics, Panjab University, Chandigarh 160014, IndiaWe extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting the t best populations (PCSt) simultaneously for all t=1,…,k−1 for the general scale parameter models, where k is the number of populations involved in the selection problem. The application of the results to the exponential and normal probability models is discussed. The implementation of the simultaneous lower confidence bounds for PCSt is illustrated through real-life datasets.http://dx.doi.org/10.1155/2011/765058 |
| spellingShingle | Radhey S. Singh Narinder Kumar Lower Confidence Bounds for the Probabilities of Correct Selection Journal of Probability and Statistics |
| title | Lower Confidence Bounds for the Probabilities of Correct Selection |
| title_full | Lower Confidence Bounds for the Probabilities of Correct Selection |
| title_fullStr | Lower Confidence Bounds for the Probabilities of Correct Selection |
| title_full_unstemmed | Lower Confidence Bounds for the Probabilities of Correct Selection |
| title_short | Lower Confidence Bounds for the Probabilities of Correct Selection |
| title_sort | lower confidence bounds for the probabilities of correct selection |
| url | http://dx.doi.org/10.1155/2011/765058 |
| work_keys_str_mv | AT radheyssingh lowerconfidenceboundsfortheprobabilitiesofcorrectselection AT narinderkumar lowerconfidenceboundsfortheprobabilitiesofcorrectselection |