4.5 Article

A SIMPLE ESTIMATOR FOR THE WEIBULL SHAPE PARAMETER

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WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219455412500095

Keywords

Coefficient of variation; maximum likelihood estimator; Weibull distribution

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The Weibull distribution is the most popular model for lifetimes. However, the maximum likelihood estimators for the Weibull distribution are not available in closed form. In this note, we derive a simple, consistent, closed form estimator for the Weibull shape parameter. This estimator is independent of the Weibull scale parameter. Simulation studies show that this estimator performs as well as the maximum likelihood estimator.

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