An Additive Perks-Weibull Model with Bathtub-Shaped Hazard Rate Function  

作　　者：Bhupendra Singh 

机构地区：[1]Department of Statistics,C.C.S.University,Meerut,India

出　　处：《Communications in Mathematics and Statistics》2016年第4期473-493,共21页数学与统计通讯（英文）

基　　金：the critical suggestions from the learned refereesand editorial board which greatly helped in the improvement of the paper.

摘　　要：In this article,an additive Perks—Weibull model capable of modeling life-time data with bathtub-shaped hazard rate function is proposed.The model is derivedby the sum of the hazard rates of Perks and Weibull distributions.Some statisticalproperties including shapes of density and hazard rate functions,moments,and orderstatistics are explored.The method of maximum likelihood estimation is used for esti-mating the model parameters.The goodness-of-fit of the model for three real datasetshaving bathtub-shaped hazard rate functions has been illustrated.Finally,an appli-cation for competing risk data is also given to show the flexibility of the proposedmodel.

关 键 词：DISTRIBUTION Weibull distribution Additive model Bathtub hazardrate function Maximum likelihood estimation Competing risk analysis 

分 类 号：O17[理学—数学]