Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset
In this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2023/4458562 |
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| _version_ | 1832546637716652032 |
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| author | Awopeju Kabiru Abidemi Alfred A. Abiodun |
| author_facet | Awopeju Kabiru Abidemi Alfred A. Abiodun |
| author_sort | Awopeju Kabiru Abidemi |
| collection | DOAJ |
| description | In this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows that the distribution is a proper probability distribution function. A simulation study involving varying sample sizes was used to ascertain the asymptotic property of the new distribution. Small and large sample sizes were considered which shows the closeness of the estimates to the true value as the sample size increases. Lifetime dataset were used for model comparison which shows the superiority of exponentially generated modify Chen distribution over some existing distributions. It is therefore recommended to use the four-parameter Chen distribution in place of the well-known two-parameter Chen distribution. |
| format | Article |
| id | doaj-art-ed60e53312ab4373aba859e362fabb3a |
| institution | Kabale University |
| issn | 1687-9538 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-ed60e53312ab4373aba859e362fabb3a2025-02-03T06:47:46ZengWileyJournal of Probability and Statistics1687-95382023-01-01202310.1155/2023/4458562Exponentially Generated Modified Chen Distribution with Applications to Lifetime DatasetAwopeju Kabiru Abidemi0Alfred A. Abiodun1Department of StatisticsDepartment of StatisticsIn this paper, the exponentially generated system was used to modify a two-parameter Chen distribution to a four-parameter distribution with better performance. The property of complete probability distribution function was used to verify the completeness of the resulting distribution, which shows that the distribution is a proper probability distribution function. A simulation study involving varying sample sizes was used to ascertain the asymptotic property of the new distribution. Small and large sample sizes were considered which shows the closeness of the estimates to the true value as the sample size increases. Lifetime dataset were used for model comparison which shows the superiority of exponentially generated modify Chen distribution over some existing distributions. It is therefore recommended to use the four-parameter Chen distribution in place of the well-known two-parameter Chen distribution.http://dx.doi.org/10.1155/2023/4458562 |
| spellingShingle | Awopeju Kabiru Abidemi Alfred A. Abiodun Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset Journal of Probability and Statistics |
| title | Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset |
| title_full | Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset |
| title_fullStr | Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset |
| title_full_unstemmed | Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset |
| title_short | Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset |
| title_sort | exponentially generated modified chen distribution with applications to lifetime dataset |
| url | http://dx.doi.org/10.1155/2023/4458562 |
| work_keys_str_mv | AT awopejukabiruabidemi exponentiallygeneratedmodifiedchendistributionwithapplicationstolifetimedataset AT alfredaabiodun exponentiallygeneratedmodifiedchendistributionwithapplicationstolifetimedataset |