In this paper, Bayes, investigation the unknown shape Parameters, of the exponentiated Weibull life time model (EWD) are derived from progressive type I interval censored samples using different loss functions and independent and dependent conjugate priors. Besides, the maximum likelihood estimators have also been attempted. Approximate Credible and Shortest Credible intervals for the parameters of an EWD are obtained. A numerical illustration for these new results is also given.
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