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Showing upper and lower Bayesian method of survival function

\begin{equation} \begin{split} S(t) = \frac{1}{\int_{0}^{1}\prod_{m=1}^M\left( \prod_{i=1}^{n_m} (t_{mi}+yx)^{\beta-1}\right)y^{c-1}(1-y)^{d-1}\frac{ \Gamma(\sum_{m=1}^{M}n_m+a)}{\left[\sum_{m=1}^{...
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