New Extension of Weibull Distribution: Copula, Mathematical Properties and Data Modeling
Hanaa Elgohari, Haitham M. Yousof
Abstract
This paper introduces a new flexible four-parameter lifetime model. Various of its structural properties are derived. The new density is expressed as a linear mixture of well-known exponentiated Weibull density. The maximum likelihood method is used to estimate the model parameters. Graphical simulation results to assess the performance of the maximum likelihood estimation are performed. We proved empirically the importance and flexibility of the new model in modeling four various types of data.
Topics & Concepts
Weibull distributionCopula (linguistics)Maximum likelihoodExtension (predicate logic)Flexibility (engineering)Computer scienceMathematicsStatisticsApplied mathematicsEconometricsProgramming languageStatistical Distribution Estimation and Applications