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