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  • Notice that, R is a function of ?????can easily obtain the posterior density function of R based on the actual observed dataw in the form1and ??2, hence, using the transformation methods onef (r|w) = Crv+??1???1(1 ??? r)n???v+??2???1[r(z??+ ??1) + (1 ??? r)(z??+ ??2)]n+??1+??2,(13)whereC =??(n + ??1+ ??2)??(n ??? v + ??2)??(v + ??1)(z??+ ??1)v+??1(z??+ ??2)n???v+??2.Hence, the Bayes estimator of R
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