Abstract
This paper introduces a new lifetime distribution to describe and analyze monotone, upside-down bathtub, bathtub-shaped and modified bathtub-shaped failure rates. An important property of the new distribution is that it can have a bathtub-shaped failure rate function with a long flat region, which may be very useful in reliability contexts. Some structural properties of the new model are obtained, and a detailed study of its mean residual life function is provided. In particular, we focus on the fundamental associations between the failure rate and mean residual life regarding their change points. The maximum likelihood method is used to estimate the model parameters. The usefulness of the new distribution is illustrated by means of empirical applications to three real datasets from engineering reliability in order to prove its versatility in practice.
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