T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function
Recently, different distributions have been generalized using the T-R {Y} framework but the possibility of using Dagum distribution has not been assessed. The T-R {Y} combines three distributions, with one as a baseline distribution, with the strength of each distribution combined to produce greater...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2020/1641207 |
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| author | Matthew I. Ekum Muminu O. Adamu Eno E. Akarawak |
| author_facet | Matthew I. Ekum Muminu O. Adamu Eno E. Akarawak |
| author_sort | Matthew I. Ekum |
| collection | DOAJ |
| description | Recently, different distributions have been generalized using the T-R {Y} framework but the possibility of using Dagum distribution has not been assessed. The T-R {Y} combines three distributions, with one as a baseline distribution, with the strength of each distribution combined to produce greater effect on the new generated distribution. The new generated distributions would have more parameters but would have high flexibility in handling bimodality in datasets and it is a weighted hazard function of the baseline distribution. This paper therefore generalized the Dagum distribution using the quantile function of Lomax distribution. A member of T-Dagum class of distribution called exponentiated-exponential-Dagum {Lomax} (EEDL) distribution was proposed. The distribution will be useful in survival analysis and reliability studies. Different characterizations of the distribution are derived, such as the asymptotes, stochastic ordering, stress-strength analysis, moment, Shannon entropy, and quantile function. Simulated and real data are used and compared favourably with existing distributions in the literature. |
| format | Article |
| id | doaj-art-02e3ab9c6be94b1591d6d3cccd2caea0 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-02e3ab9c6be94b1591d6d3cccd2caea02025-02-03T06:05:15ZengWileyJournal of Probability and Statistics1687-952X1687-95382020-01-01202010.1155/2020/16412071641207T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile FunctionMatthew I. Ekum0Muminu O. Adamu1Eno E. Akarawak2Department of Mathematics, University of Lagos, Akoka, Lagos, NigeriaDepartment of Mathematics, University of Lagos, Akoka, Lagos, NigeriaDepartment of Mathematics, University of Lagos, Akoka, Lagos, NigeriaRecently, different distributions have been generalized using the T-R {Y} framework but the possibility of using Dagum distribution has not been assessed. The T-R {Y} combines three distributions, with one as a baseline distribution, with the strength of each distribution combined to produce greater effect on the new generated distribution. The new generated distributions would have more parameters but would have high flexibility in handling bimodality in datasets and it is a weighted hazard function of the baseline distribution. This paper therefore generalized the Dagum distribution using the quantile function of Lomax distribution. A member of T-Dagum class of distribution called exponentiated-exponential-Dagum {Lomax} (EEDL) distribution was proposed. The distribution will be useful in survival analysis and reliability studies. Different characterizations of the distribution are derived, such as the asymptotes, stochastic ordering, stress-strength analysis, moment, Shannon entropy, and quantile function. Simulated and real data are used and compared favourably with existing distributions in the literature.http://dx.doi.org/10.1155/2020/1641207 |
| spellingShingle | Matthew I. Ekum Muminu O. Adamu Eno E. Akarawak T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function Journal of Probability and Statistics |
| title | T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function |
| title_full | T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function |
| title_fullStr | T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function |
| title_full_unstemmed | T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function |
| title_short | T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function |
| title_sort | t dagum a way of generalizing dagum distribution using lomax quantile function |
| url | http://dx.doi.org/10.1155/2020/1641207 |
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