Mixture of Weibull distributions—parametric characterization of failure rate function

Abstract

A mixture distribution involving two two-parameter Weibull distributions is characterized by five parameters. The shape of the failure rate function for the mixture depends on the parameter values and can be one of eight distinct shapes. In this paper we present a complete parametric characterization of the shapes for the failure rate function for the mixture. © 1998 John Wiley & Sons, Ltd.