Bathtub and Related Failure Rate Characterizations
本文给出了确保寿命密度具有浴盆形失效率的充分条件，并类似处理了递增、递减和倒浴盆形失效率，结果可简便应用于指数族分布，通过实例引入新模型并说明已有模型的应用。
Abstract Sufficient conditions are obtained that ensure that a lifetime density has a bathtub-shaped failure rate. Analogous conditions handle increasing, decreasing, and upside-down bathtub-shaped failure rates. Application of these results to exponential families of densities is particularly straightforward and effective. Examples are furnished that introduce new bathtub models and illustrate the use of the general results for existing models. Examples involving mixtures are also considered.