The Poisson-Lomax Distribution

• Main Authors: BANDER AL-ZAHRANI, HANAA SAGOR
• Format: Article
• Language: English
• Published: Universidad Nacional de Colombia 2014-06-01
• Series: Revista Colombiana de Estadística
• Subjects: mezclas; distribuciones de sobrevida; distribució n Lomax; distribución Poisson; estomación máximo-verosímil
• Online Access: http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512014000100015&lng=en&tlng=en

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.