A new lifetime model with a periodic hazard rate and an application

In this paper, we introduce a new three parameter lifetime distribution for modelling lifetime data. Among its interesting properties, it has the feature of possessing a periodic hazard rate function. Some of its mathematical properties are studied, including moments, moment generating function, mean deviations and order statistics. The estimation of its parameter is investigated using the maximum-likelihood estimation. A real-life data set is considered to illustrate the usefulness and the applicability of the proposed distribution.