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