2014•Open Journal of StatisticsOpen access

Parameter Estimations for Some Modifications of the Weibull Distribution

Soumaya Ghnimi, Soufiane Gasmi

Abstract

Proposed by the Swedish engineer and mathematician Ernst Hjalmar Waloddi Weibull (1887-1979), the Weibull distribution is a probability distribution that is widely used to model lifetime data. Because of its flexibility, some modifications of the Weibull distribution have been made from several researches in order to best adjust the non-monotonic shapes. This paper gives a study on the performance of two specific modifications of the Weibull distribution which are the exponentiated Weibull distribution and the additive Weibull distribution.

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Key concepts: Weibull distribution, Exponentiated Weibull distribution, Weibull modulus, Weibull fading, Distribution fitting, Statistics, Distribution (mathematics), Mathematics