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The Weibull distribution is a very applicable model for the lifetime data. Inthis paper, we have investigated inference on the parameters of Weibulldistribution based on record values. We first propose a simple and exact testand a confidence interval for the shape parameter. Then, in addition to ageneralized confidence interval, a generalized test variable is derived for thescale parameter when the shape parameter is unknown. The paper presents asimple and exact joint confidence region as well. %for the scale and shapeparameters. In all cases, simulation studies show that the proposed approachesare more satisfactory and reliable than previous methods. All proposedapproaches are illustrated using a real example.

Inference on the Parameters of the Weibull Distribution Using Records