General Results for the Transmuted Family of Distributions and New Models
The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptot...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2016/7208425 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561054765285376 |
|---|---|
| author | Marcelo Bourguignon Indranil Ghosh Gauss M. Cordeiro |
| author_facet | Marcelo Bourguignon Indranil Ghosh Gauss M. Cordeiro |
| author_sort | Marcelo Bourguignon |
| collection | DOAJ |
| description | The transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, Rényi and Shannon entropies, and order statistics and their moments. We estimate the model parameters of the family by the method of maximum likelihood. We prove empirically the flexibility of the proposed model by means of an application to a real data set. |
| format | Article |
| id | doaj-art-fd4faba180f449acbdb82f3104f0696f |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-fd4faba180f449acbdb82f3104f0696f2025-02-03T01:26:08ZengWileyJournal of Probability and Statistics1687-952X1687-95382016-01-01201610.1155/2016/72084257208425General Results for the Transmuted Family of Distributions and New ModelsMarcelo Bourguignon0Indranil Ghosh1Gauss M. Cordeiro2Departamento de Estatística, Universidade Federal do Rio Grande do Norte, 59078-970 Natal, RN, BrazilDepartment of Mathematics and Statistics, University of North Carolina Wilmington, Wilmington, NC, USADepartamento de Estatística, Universidade Federal de Pernambuco, 50740-540 Recife, PE, BrazilThe transmuted family of distributions has been receiving increased attention over the last few years. For a baseline G distribution, we derive a simple representation for the transmuted-G family density function as a linear mixture of the G and exponentiated-G densities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, Rényi and Shannon entropies, and order statistics and their moments. We estimate the model parameters of the family by the method of maximum likelihood. We prove empirically the flexibility of the proposed model by means of an application to a real data set.http://dx.doi.org/10.1155/2016/7208425 |
| spellingShingle | Marcelo Bourguignon Indranil Ghosh Gauss M. Cordeiro General Results for the Transmuted Family of Distributions and New Models Journal of Probability and Statistics |
| title | General Results for the Transmuted Family of Distributions and New Models |
| title_full | General Results for the Transmuted Family of Distributions and New Models |
| title_fullStr | General Results for the Transmuted Family of Distributions and New Models |
| title_full_unstemmed | General Results for the Transmuted Family of Distributions and New Models |
| title_short | General Results for the Transmuted Family of Distributions and New Models |
| title_sort | general results for the transmuted family of distributions and new models |
| url | http://dx.doi.org/10.1155/2016/7208425 |
| work_keys_str_mv | AT marcelobourguignon generalresultsforthetransmutedfamilyofdistributionsandnewmodels AT indranilghosh generalresultsforthetransmutedfamilyofdistributionsandnewmodels AT gaussmcordeiro generalresultsforthetransmutedfamilyofdistributionsandnewmodels |