A New Class of Exponentiated Beta-Skew-Laplace Distribution
Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The proble...
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| Format: | Article |
| Language: | English |
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Academia Brasileira de Ciências
2022-10-01
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| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652022000600301&tlng=en |
| _version_ | 1811234554538622976 |
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| author | ROGER TOVAR-FALÓN GUILLERMO MARTÍNEZ-FLÓREZ |
| author_facet | ROGER TOVAR-FALÓN GUILLERMO MARTÍNEZ-FLÓREZ |
| author_sort | ROGER TOVAR-FALÓN |
| collection | DOAJ |
| description | Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications. |
| first_indexed | 2024-04-12T11:39:34Z |
| format | Article |
| id | doaj.art-29481303aa864bc09480af06fd496852 |
| institution | Directory Open Access Journal |
| issn | 1678-2690 |
| language | English |
| last_indexed | 2024-04-12T11:39:34Z |
| publishDate | 2022-10-01 |
| publisher | Academia Brasileira de Ciências |
| record_format | Article |
| series | Anais da Academia Brasileira de Ciências |
| spelling | doaj.art-29481303aa864bc09480af06fd4968522022-12-22T03:34:44ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências1678-26902022-10-0194410.1590/0001-3765202220191597A New Class of Exponentiated Beta-Skew-Laplace DistributionROGER TOVAR-FALÓNhttps://orcid.org/0000-0001-5649-532XGUILLERMO MARTÍNEZ-FLÓREZhttps://orcid.org/0000-0001-6441-5377Abstract This paper introduce two new families of distributions that allow fitting unimodal, bimodal or trimodal data sets. Statistical properties such as distribution function, moments, moment generating function and stochastic representation of these new families are studied in details. The problem of estimating parameters is addressed by considering the maximum likelihood method and Fisher information matrices are derived. A small Monte Carlo simulation study is conducted to examine the performance of the obtained estimators. The methodology developed is illustrated with three real data applications.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652022000600301&tlng=enAsymmetrybeta-skew-Laplace distributioninformation matrixmaximum likelihood estimationmultimodality |
| spellingShingle | ROGER TOVAR-FALÓN GUILLERMO MARTÍNEZ-FLÓREZ A New Class of Exponentiated Beta-Skew-Laplace Distribution Anais da Academia Brasileira de Ciências Asymmetry beta-skew-Laplace distribution information matrix maximum likelihood estimation multimodality |
| title | A New Class of Exponentiated Beta-Skew-Laplace Distribution |
| title_full | A New Class of Exponentiated Beta-Skew-Laplace Distribution |
| title_fullStr | A New Class of Exponentiated Beta-Skew-Laplace Distribution |
| title_full_unstemmed | A New Class of Exponentiated Beta-Skew-Laplace Distribution |
| title_short | A New Class of Exponentiated Beta-Skew-Laplace Distribution |
| title_sort | new class of exponentiated beta skew laplace distribution |
| topic | Asymmetry beta-skew-Laplace distribution information matrix maximum likelihood estimation multimodality |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652022000600301&tlng=en |
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