BAYES ESTIMATION OF WEIBULL LENGTH BIASED DISTRIBUTION

A sequence of independent life time data   X 1 , X 2 ,.... , where observed from Weibull length biased (WLB) distribution with probability density function WLB  θ 1 ), but later it was found that there was a change in the system at some point m and it is reflected in the sequence after by change in probability density function WLB  θ 2 ). The Bayes estimators of m, θ 1, θ 2 , are derived under different asymmetric loss functions. The effects   of correct and wrong prior information on the Bayes estimates are studied.