A Compound Class of the Inverse Gamma and Power Series Distributions
In this paper, the inverse gamma power series (IGPS) class of distributions asymmetric is introduced. This family is obtained by compounding inverse gamma and power series distributions. We present the density, survival and hazard functions, moments and the order statistics of the IGPS. Estimation i...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-07-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/8/1328 |
| _version_ | 1797522027214536704 |
|---|---|
| author | Pilar A. Rivera Enrique Calderín-Ojeda Diego I. Gallardo Héctor W. Gómez |
| author_facet | Pilar A. Rivera Enrique Calderín-Ojeda Diego I. Gallardo Héctor W. Gómez |
| author_sort | Pilar A. Rivera |
| collection | DOAJ |
| description | In this paper, the inverse gamma power series (IGPS) class of distributions asymmetric is introduced. This family is obtained by compounding inverse gamma and power series distributions. We present the density, survival and hazard functions, moments and the order statistics of the IGPS. Estimation is first discussed by means of the quantile method. Then, an EM algorithm is implemented to compute the maximum likelihood estimates of the parameters. Moreover, a simulation study is carried out to examine the effectiveness of these estimates. Finally, the performance of the new class is analyzed by means of two asymmetric real data sets. |
| first_indexed | 2024-03-10T08:20:48Z |
| format | Article |
| id | doaj.art-bca63409845643fdb90407cc3aee8333 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:20:48Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bca63409845643fdb90407cc3aee83332023-11-22T09:59:30ZengMDPI AGSymmetry2073-89942021-07-01138132810.3390/sym13081328A Compound Class of the Inverse Gamma and Power Series DistributionsPilar A. Rivera0Enrique Calderín-Ojeda1Diego I. Gallardo2Héctor W. Gómez3Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileCentre for Actuarial Studies, Department of Economics, The University of Melbourne, Melbourne, VIC 3010, AustraliaDepartamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó 1530000, ChileDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileIn this paper, the inverse gamma power series (IGPS) class of distributions asymmetric is introduced. This family is obtained by compounding inverse gamma and power series distributions. We present the density, survival and hazard functions, moments and the order statistics of the IGPS. Estimation is first discussed by means of the quantile method. Then, an EM algorithm is implemented to compute the maximum likelihood estimates of the parameters. Moreover, a simulation study is carried out to examine the effectiveness of these estimates. Finally, the performance of the new class is analyzed by means of two asymmetric real data sets.https://www.mdpi.com/2073-8994/13/8/1328asymmetric distributionspower series distributionsinverse gamma power seriesEM algorithm |
| spellingShingle | Pilar A. Rivera Enrique Calderín-Ojeda Diego I. Gallardo Héctor W. Gómez A Compound Class of the Inverse Gamma and Power Series Distributions Symmetry asymmetric distributions power series distributions inverse gamma power series EM algorithm |
| title | A Compound Class of the Inverse Gamma and Power Series Distributions |
| title_full | A Compound Class of the Inverse Gamma and Power Series Distributions |
| title_fullStr | A Compound Class of the Inverse Gamma and Power Series Distributions |
| title_full_unstemmed | A Compound Class of the Inverse Gamma and Power Series Distributions |
| title_short | A Compound Class of the Inverse Gamma and Power Series Distributions |
| title_sort | compound class of the inverse gamma and power series distributions |
| topic | asymmetric distributions power series distributions inverse gamma power series EM algorithm |
| url | https://www.mdpi.com/2073-8994/13/8/1328 |
| work_keys_str_mv | AT pilararivera acompoundclassoftheinversegammaandpowerseriesdistributions AT enriquecalderinojeda acompoundclassoftheinversegammaandpowerseriesdistributions AT diegoigallardo acompoundclassoftheinversegammaandpowerseriesdistributions AT hectorwgomez acompoundclassoftheinversegammaandpowerseriesdistributions AT pilararivera compoundclassoftheinversegammaandpowerseriesdistributions AT enriquecalderinojeda compoundclassoftheinversegammaandpowerseriesdistributions AT diegoigallardo compoundclassoftheinversegammaandpowerseriesdistributions AT hectorwgomez compoundclassoftheinversegammaandpowerseriesdistributions |