Weibull-Lindley Distribution: A Bathtub Shaped Failure Rate Model

Abstract

The Lindley and Weibull are the two most commonly used distributions for analyzing lifetime data. These distributions have several desirable properties and nice physical interpretations. This paper introduces a new distribution, which generalizes the wellknown Lindley and Weibull distribution, having Bathtub shaped failure rate. The Statistical properties of this distribution are discussed in this paper. Applications in reliability study are discussed. A real data set is analyzed and it is observed that the present distribution can provide a better than some other very well known distributions.