The Poisson-Lomax Distribution
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876442339152494592 |
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| author | Bander Al-Zahrani |
| author_facet | Bander Al-Zahrani |
| contents | The Poisson-Lomax Distribution Bander Al-Zahrani Hanaa Sagor Física, Astronomía y Matemáticas Compounding covariance matrix Lomax distribution Asymptotic variance Poisson distribution In this paper we propose a new three-parameter lifetime distribution with upside-down bathtub shaped failure rate. The distribution is a compound distribution of the zero-truncated Poisson and the Lomax distributions (PLD). The density function, shape of the hazard rate function, a general expansion for moments, the density of the rth order statistic, and the mean and median deviations of the PLD are derived and studied in detail. The maximum likelihood estimators of the unknown parameters are obtained. The asymptotic confidence intervals for the parameters are also obtained based on asymptotic variance-covariance matrix. Finally, a real data set is analyzed to show the potential of the new proposed distribution. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327015 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| format | Artículo científico |
| id | redalyc_89931327015 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | The Poisson-Lomax Distribution Bander Al-Zahrani Física, Astronomía y Matemáticas Compounding covariance matrix Lomax distribution Asymptotic variance Poisson distribution The Poisson-Lomax Distribution Bander Al-Zahrani Hanaa Sagor Física, Astronomía y Matemáticas Compounding covariance matrix Lomax distribution Asymptotic variance Poisson distribution In this paper we propose a new three-parameter lifetime distribution with upside-down bathtub shaped failure rate. The distribution is a compound distribution of the zero-truncated Poisson and the Lomax distributions (PLD). The density function, shape of the hazard rate function, a general expansion for moments, the density of the rth order statistic, and the mean and median deviations of the PLD are derived and studied in detail. The maximum likelihood estimators of the unknown parameters are obtained. The asymptotic confidence intervals for the parameters are also obtained based on asymptotic variance-covariance matrix. Finally, a real data set is analyzed to show the potential of the new proposed distribution. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327015 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| title | The Poisson-Lomax Distribution |
| topic | Física, Astronomía y Matemáticas Compounding covariance matrix Lomax distribution Asymptotic variance Poisson distribution |
| url | https://www.redalyc.org/articulo.oa?id=89931327015 |