The Exponentiated Half-Logistic Family of Distributions: Properties and Applications
We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/864396 |
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| _version_ | 1832558550800400384 |
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| author | Gauss M. Cordeiro Morad Alizadeh Edwin M. M. Ortega |
| author_facet | Gauss M. Cordeiro Morad Alizadeh Edwin M. M. Ortega |
| author_sort | Gauss M. Cordeiro |
| collection | DOAJ |
| description | We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets. |
| format | Article |
| id | doaj-art-b5b8bc58761d435a9ae3a123cccb3fea |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-b5b8bc58761d435a9ae3a123cccb3fea2025-02-03T01:32:05ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/864396864396The Exponentiated Half-Logistic Family of Distributions: Properties and ApplicationsGauss M. Cordeiro0Morad Alizadeh1Edwin M. M. Ortega2Departamento de Estatística, Universidade Federal de Pernambuco, 50740-540 Recife, PE, BrazilDepartment of Statistics, Ferdowsi University, Mashhad 9177948974, IranDepartamento de Ciências Exatas, Universidade de São Paulo, 13418-900 Piracicaba, SP, BrazilWe study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.http://dx.doi.org/10.1155/2014/864396 |
| spellingShingle | Gauss M. Cordeiro Morad Alizadeh Edwin M. M. Ortega The Exponentiated Half-Logistic Family of Distributions: Properties and Applications Journal of Probability and Statistics |
| title | The Exponentiated Half-Logistic Family of Distributions: Properties and Applications |
| title_full | The Exponentiated Half-Logistic Family of Distributions: Properties and Applications |
| title_fullStr | The Exponentiated Half-Logistic Family of Distributions: Properties and Applications |
| title_full_unstemmed | The Exponentiated Half-Logistic Family of Distributions: Properties and Applications |
| title_short | The Exponentiated Half-Logistic Family of Distributions: Properties and Applications |
| title_sort | exponentiated half logistic family of distributions properties and applications |
| url | http://dx.doi.org/10.1155/2014/864396 |
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