A New Type I Half-Logistic Inverse Weibull Distribution with an Application to the Relief Times Data of Patients Receiving an Analgesic.

This article presents a new extension of the type I half-logistic inverse Weibull distribution. It is used as a base line to construct a new bivariate model that is called bivariate extended type I half-logistic inverse Weibull model. Statistical properties of the proposed distributions are derived in explicit forms. Maximum likelihood estimators are discussed. Simulation is employed to discuss theoretical properties, to investigate the performance of the new models and to elaborate the goodness of fit. The new models are applied to real data sets.