This paper develops a Bayesian Analysis in the context of new improved informative Prior for the shape parameter of the mixture of Kumaraswamy Distribution using the censored data. The objective of this study is to mingle both the informative and non-informative Priors for the improvement of the Prior information for the unknown parameter of the considered Distribution. We modeled the heterogeneous population using two components mixture of the Kumaraswamy Distribution. A comprehensive

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... n scheme has been carried out to highlight the properties and behavior of the Estimates in terms of sample size, corresponding risks and the mixing weights. A censored mixture data is simulated by probabilistic mixing for the computational purpose. The Bayes Estimators of the said parameters have been derived under the assumption of informative and non-informative Priors using different Loss functions.