The inverse Weibull distribution is one of the widely applied distributions. In this paper, we are going to extend the study of the beta inverse Weibull distribution (BIW). The BIW with three parameters is analyzed by using the method of product spacing   (MPS) and compared with the maximum likelihood estimate (MLE). To estimate the model parameters, Newton-Raphson method is applied and the table of simulation results is shown. Finally, practical use of the model is demonstrated by dint of an application to real data.  For the real data computation, the estimate of the variance-covariance matrix and the estimates are provided.

beta function, digamma function, gamma function, inverse Weibull distribution, method of maximum likelihood, method of product spacings, Newton-Raphson method, trigamma function.