The Poisson-Lomax Distribution
Copyright policy )The Poisson-Lomax Distribution
Summary: 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 \(r\)th 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.
- King Abdulaziz University Saudi Arabia
- National University of Colombia Colombia
Reliability and life testing, Lomax distribution, Lifetime distributions, Statistics, estomación máximo-verosímil, Compounding, Exact distribution theory in statistics, asymptotic variance-covariance matrix, maximum likelihood estimation, distribució n Lomax, Maximum likelihood estimation, mezclas, HA1-4737, compounding, Asymptotic variance-covariance matrix, distribución Poisson, distribuciones de sobrevida, Poisson distribution, Probability distributions: general theory, lifetime distributions
Reliability and life testing, Lomax distribution, Lifetime distributions, Statistics, estomación máximo-verosímil, Compounding, Exact distribution theory in statistics, asymptotic variance-covariance matrix, maximum likelihood estimation, distribució n Lomax, Maximum likelihood estimation, mezclas, HA1-4737, compounding, Asymptotic variance-covariance matrix, distribución Poisson, distribuciones de sobrevida, Poisson distribution, Probability distributions: general theory, lifetime distributions
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).32 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!