A Generalization of Exponentiated Pareto-I Distribution with Applications
According to earlier research, transmuting a standard distribution often results in a compound distribution that performs better and is more flexible. In light of this fact, this article proposes two novel generalized versions of the exponentiated Pareto-I distribution, called cubic transmuted expon...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tamkang University Press
2024-02-01
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| Series: | Journal of Applied Science and Engineering |
| Subjects: | |
| Online Access: | http://jase.tku.edu.tw/articles/jase-202405-27-5-0004 |
| _version_ | 1797333765392957440 |
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| author | Hussein Eledum S.I. Ansari |
| author_facet | Hussein Eledum S.I. Ansari |
| author_sort | Hussein Eledum |
| collection | DOAJ |
| description | According to earlier research, transmuting a standard distribution often results in a compound distribution that performs better and is more flexible. In light of this fact, this article proposes two novel generalized versions of the exponentiated Pareto-I distribution, called cubic transmuted exponentiated Pareto-I and fourth rank transmuted exponentiated Pareto-I by using the generalization formula for transmuted distribution. Some statistical properties are derived. Model parameters are estimated using the maximum likelihood method. Finally, an application of the two proposed distributions to two real data sets with diverse shapes is illustrated and compared with some distributions based on the exponential family and the exponentiated Pareto-I distribution. The applications suggest that the fourth version performs better than the cubic one for all shapes of the distribution. The new exponentiated Pareto-I models exhibit constant, upside-down, and bathtub hazard rates. The justification for the practicality of the new lifetime models is based on their ability to model real-life data sets from different perspectives. |
| first_indexed | 2024-03-08T08:09:49Z |
| format | Article |
| id | doaj.art-af302f5c5e594daba7596a5ece42381a |
| institution | Directory Open Access Journal |
| issn | 2708-9967 2708-9975 |
| language | English |
| last_indexed | 2024-03-08T08:09:49Z |
| publishDate | 2024-02-01 |
| publisher | Tamkang University Press |
| record_format | Article |
| series | Journal of Applied Science and Engineering |
| spelling | doaj.art-af302f5c5e594daba7596a5ece42381a2024-02-02T09:38:45ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752024-02-012752401241110.6180/jase.202405_27(05).0004A Generalization of Exponentiated Pareto-I Distribution with ApplicationsHussein Eledum0S.I. Ansari1Department of Statistics, Faculty of Science, University of Tabuk, KSA. Department of Applied Statistics, Shendi University, SudanDepartment of Business Administration, Azad Institute of Engineering and Technology, Lucknow, IndiaAccording to earlier research, transmuting a standard distribution often results in a compound distribution that performs better and is more flexible. In light of this fact, this article proposes two novel generalized versions of the exponentiated Pareto-I distribution, called cubic transmuted exponentiated Pareto-I and fourth rank transmuted exponentiated Pareto-I by using the generalization formula for transmuted distribution. Some statistical properties are derived. Model parameters are estimated using the maximum likelihood method. Finally, an application of the two proposed distributions to two real data sets with diverse shapes is illustrated and compared with some distributions based on the exponential family and the exponentiated Pareto-I distribution. The applications suggest that the fourth version performs better than the cubic one for all shapes of the distribution. The new exponentiated Pareto-I models exhibit constant, upside-down, and bathtub hazard rates. The justification for the practicality of the new lifetime models is based on their ability to model real-life data sets from different perspectives.http://jase.tku.edu.tw/articles/jase-202405-27-5-0004pareto distributioncubic transmutationfourth rank transmutationmaximum likelihood estimationmoment generating function |
| spellingShingle | Hussein Eledum S.I. Ansari A Generalization of Exponentiated Pareto-I Distribution with Applications Journal of Applied Science and Engineering pareto distribution cubic transmutation fourth rank transmutation maximum likelihood estimation moment generating function |
| title | A Generalization of Exponentiated Pareto-I Distribution with Applications |
| title_full | A Generalization of Exponentiated Pareto-I Distribution with Applications |
| title_fullStr | A Generalization of Exponentiated Pareto-I Distribution with Applications |
| title_full_unstemmed | A Generalization of Exponentiated Pareto-I Distribution with Applications |
| title_short | A Generalization of Exponentiated Pareto-I Distribution with Applications |
| title_sort | generalization of exponentiated pareto i distribution with applications |
| topic | pareto distribution cubic transmutation fourth rank transmutation maximum likelihood estimation moment generating function |
| url | http://jase.tku.edu.tw/articles/jase-202405-27-5-0004 |
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