A new class of distributions as a finite functional mixture using functional weights
Abstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution wit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academia Brasileira de Ciências
2021-06-01
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| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301&tlng=en |
| _version_ | 1798015019586158592 |
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| author | DALAL LALA BOUALI CHRISTOPHE CHESNEAU VIKAS KUMAR SHARMA HASSAN S. BAKOUCH |
| author_facet | DALAL LALA BOUALI CHRISTOPHE CHESNEAU VIKAS KUMAR SHARMA HASSAN S. BAKOUCH |
| author_sort | DALAL LALA BOUALI |
| collection | DOAJ |
| description | Abstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution with three parameters, a dilation transformation and a weight with polynomial decay, leading to a new life-time distribution. The explicit expressions of the moments generating function, moments and quantile function of the proposed distribution are provided. For estimating the parameters, the method of maximum likelihood estimation is used. Two applications with practical data sets are given. |
| first_indexed | 2024-04-11T15:27:41Z |
| format | Article |
| id | doaj.art-3519b1a01f3a4a04996453548ac328fa |
| institution | Directory Open Access Journal |
| issn | 1678-2690 |
| language | English |
| last_indexed | 2024-04-11T15:27:41Z |
| publishDate | 2021-06-01 |
| publisher | Academia Brasileira de Ciências |
| record_format | Article |
| series | Anais da Academia Brasileira de Ciências |
| spelling | doaj.art-3519b1a01f3a4a04996453548ac328fa2022-12-22T04:16:12ZengAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências1678-26902021-06-0193210.1590/0001-3765202120181019A new class of distributions as a finite functional mixture using functional weightsDALAL LALA BOUALIhttps://orcid.org/0000-0001-7496-9154CHRISTOPHE CHESNEAUhttps://orcid.org/0000-0002-1522-9292VIKAS KUMAR SHARMAhttps://orcid.org/0000-0003-0169-4094HASSAN S. BAKOUCHhttps://orcid.org/0000-0002-3189-0670Abstract In this paper, we introduce a new family of distributions whose probability density function is defined as a weighted sum of two probability density functions; one is defined as a warped version of the other. We focus our attention on a special case based on the exponential distribution with three parameters, a dilation transformation and a weight with polynomial decay, leading to a new life-time distribution. The explicit expressions of the moments generating function, moments and quantile function of the proposed distribution are provided. For estimating the parameters, the method of maximum likelihood estimation is used. Two applications with practical data sets are given.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301&tlng=enfinite mixtureweighted distributionexponential distributionmoment generating functionmaximum likelihood estimation |
| spellingShingle | DALAL LALA BOUALI CHRISTOPHE CHESNEAU VIKAS KUMAR SHARMA HASSAN S. BAKOUCH A new class of distributions as a finite functional mixture using functional weights Anais da Academia Brasileira de Ciências finite mixture weighted distribution exponential distribution moment generating function maximum likelihood estimation |
| title | A new class of distributions as a finite functional mixture using functional weights |
| title_full | A new class of distributions as a finite functional mixture using functional weights |
| title_fullStr | A new class of distributions as a finite functional mixture using functional weights |
| title_full_unstemmed | A new class of distributions as a finite functional mixture using functional weights |
| title_short | A new class of distributions as a finite functional mixture using functional weights |
| title_sort | new class of distributions as a finite functional mixture using functional weights |
| topic | finite mixture weighted distribution exponential distribution moment generating function maximum likelihood estimation |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652021000300301&tlng=en |
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