WEIGHTED WEIBULL LENGTH BIASED DISTRIBUTION AND A CHANGE POINT MODEL: A SPECIAL CASE OF BAYESIAN APPROACH AND LENGTHBIASEDNESS

Maitreya N. Acharya

Volume : V, Issue : V, May - 2016

WEIGHTED WEIBULL LENGTH BIASED DISTRIBUTION AND A CHANGE POINT MODEL: A SPECIAL CASE OF BAYESIAN APPROACH AND LENGTHBIASEDNESS

Maitreya N. Acharya

Abstract :

Here, we have developed a change point model related to Weibull Length Biased Life Time Model. We have made an attempt to study a special case of length biasedness of Weibull Life Time Model where the Weibull Length Biased Model gets transformed into Weighted Weibull Length Biased Distribution. Further, we have obtained the posterior densities of θ_1,θ_2,β and �m� for this model and then we have obtained the Bayes estimates of θ_(1,) θ_2,β and �m� under asymmetric loss functions. We have also studied the sensitivity of Bayes estimates with respect to change in the prior of the parameters for the model. Finally, we have given the conclusions on the basis of our study.