The inverse weighted Lindley distribution: Properties, estimation and an application on a failure time data

摘要

In this paper a new distribution is proposed. This new model provides moreflexibility to modeling data with upside-down bathtub hazard rate function. Asignificant account of mathematical properties of the new distribution ispresented. The maximum likelihood estimators for the parameters in the presenceof complete and censored data are presented. Two corrective approaches areconsidered to derive modified estimators that are bias-free to second order. Anumerical simulation is carried out to examine the efficiency of the biascorrection. Finally, an application using a real data set is presented in orderto illustrate our proposed distribution.