Inference on the Parameters of the Weibull Distribution Using Records
Abstract
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.
Cite
@article{arxiv.1501.02201,
title = {Inference on the Parameters of the Weibull Distribution Using Records},
author = {Ali Akbar Jafari and Hojatollah Zakerzadeh},
journal= {arXiv preprint arXiv:1501.02201},
year = {2015}
}
Comments
Accepted for publication in SORT