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Parameter Estimations for Some Modifications of the Weibull Distribution
Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia
Tunis National Higher School of Engineering, University of Tunis, Tunis, Tunisia
- 1 Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia
- 2 Tunis National Higher School of Engineering, University of Tunis, Tunis, Tunisia
Open Journal of Statistics·Volume 04 (2014)·Pages 597–610·Published 16 September 2014·DOI10.4236/ojs.2014.48056
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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.
KeywordsExponentiated Weibull DistributionAdditive Weibull DistributionMaximum Likelihood EstimationKolmogorov-Smirnov TestSimulation
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