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Estimating Beta Inverse Weibull Distribution by the Method of Quantile Estimates

. International Journal of Research and Innovation in Applied Science (IJRIAS) 1 (6): 01-05 (September 2016)


The Beta Inverse Weibull distribution is one of the widely applied distribution. In reliability and biological studies, we can model failure rates by this distribution. In this paper, we extend the study of the Beta Inverse Weibull distribution (BIW). The unimodal BIW with three parameters are estimated by the Method of Quantile Estimates (MQE) and then compared with parameters estimated by the Maximum Likelihood Estimates (MLE). To estimate the model parameters, Newton-Raphson method is applied for MLE and Nelder-Mead Simplex method is applied for MQE 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, standard deviations of the estimated parameters are calculated by random permutation method.

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