A new class of distributions as a finite functional mixture using functional weights
| Autor: | DALAL LALA BOUALI, CHRISTOPHE CHESNEAU, VIKAS KUMAR SHARMA, HASSAN S. BAKOUCH |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Anais da Academia Brasileira de Ciências, Vol 93, Iss 2 (2021) |
| Druh dokumentu: | article |
| ISSN: | 1678-2690 0001-3765 04996453 |
| DOI: | 10.1590/0001-3765202120181019 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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