Abstract:
Most real life system exhibit bathtub shapes for their failure rate functions.
Generalized Lindley, Generalized Gamma, Exponentiated Weibull and xExponential distributions are proposed for modeling lifetime data having bathtub
shaped failure rate model. This paper considered a simple model but exhibiting
bathtub shaped failure rate and discuss the failure rate behavior. The proposed
distribution has only one parameter. A Little works are available in literature with
one parameter. Computation of moments requires software. Applications in
reliability study is discussed.