A New Family of Odd Nakagami Exponential (NE-G) Distributions
In this study, a new family of odd nakagami exponential (NE-G) distributions is introduced and investigated as a new generator of continuous distributions. Quantile, hazard rate function, moments, incomplete moments, order statistics, and entropies are only a few of the statistical features that are...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2022-06-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/2412750 |
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| _version_ | 1850079856734240768 |
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| author | Mathee Pongkitiwitoon Obalowa Job İbrahim Abdullahi |
| author_facet | Mathee Pongkitiwitoon Obalowa Job İbrahim Abdullahi |
| author_sort | Mathee Pongkitiwitoon |
| collection | DOAJ |
| description | In this study, a new family of odd nakagami exponential (NE-G) distributions is introduced and investigated as a new generator of continuous distributions. Quantile, hazard rate function, moments, incomplete moments, order statistics, and entropies are only a few of the statistical features that are investigated. A unique model is presented and thoroughly examined. To estimate model parameters based on describing real-life data sets, the maximum likelihood method is applied. The bias and mean square error of maximum likelihood estimators are investigated using a comprehensive simulation exercise. Finally, the new family adaptability is demonstrated via application to real-world data sets. |
| format | Article |
| id | doaj-art-e6b0661d225a4908b6298c868c87a878 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2022-06-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-e6b0661d225a4908b6298c868c87a8782025-08-20T02:45:06ZengNaim ÇağmanJournal of New Theory2149-14022022-06-0139194110.53570/jnt.11129592425A New Family of Odd Nakagami Exponential (NE-G) DistributionsMathee Pongkitiwitoon0https://orcid.org/0000-0002-7442-2391Obalowa Job1https://orcid.org/0000-0001-5232-1509İbrahim Abdullahi2https://orcid.org/0000-0002-7280-3035Khon Kaen UniversityUniversity of IlorinYobe State University Damaturu NigeriaIn this study, a new family of odd nakagami exponential (NE-G) distributions is introduced and investigated as a new generator of continuous distributions. Quantile, hazard rate function, moments, incomplete moments, order statistics, and entropies are only a few of the statistical features that are investigated. A unique model is presented and thoroughly examined. To estimate model parameters based on describing real-life data sets, the maximum likelihood method is applied. The bias and mean square error of maximum likelihood estimators are investigated using a comprehensive simulation exercise. Finally, the new family adaptability is demonstrated via application to real-world data sets.https://dergipark.org.tr/en/download/article-file/2412750nakagami exponentialorder statisticsquantile functionmoments |
| spellingShingle | Mathee Pongkitiwitoon Obalowa Job İbrahim Abdullahi A New Family of Odd Nakagami Exponential (NE-G) Distributions Journal of New Theory nakagami exponential order statistics quantile function moments |
| title | A New Family of Odd Nakagami Exponential (NE-G) Distributions |
| title_full | A New Family of Odd Nakagami Exponential (NE-G) Distributions |
| title_fullStr | A New Family of Odd Nakagami Exponential (NE-G) Distributions |
| title_full_unstemmed | A New Family of Odd Nakagami Exponential (NE-G) Distributions |
| title_short | A New Family of Odd Nakagami Exponential (NE-G) Distributions |
| title_sort | new family of odd nakagami exponential ne g distributions |
| topic | nakagami exponential order statistics quantile function moments |
| url | https://dergipark.org.tr/en/download/article-file/2412750 |
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