Glaziou edited The_above_two_methods_to__.tex  over 8 years ago

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The incidence rate obtained using method $i$ is assumed distributed Beta with shape and scale parameters $\alpha_i + 1$ and $\beta_i + 1$, respectively, and determined using the method of moments based on equation \ref{eqn:betamoments}: $I_i \sim B(\alpha_i + 1, \beta_i + 1)$ so that   \begin{align*}  Prob(x \textrm{Prob}(x  = \textrm{TB})= \int_{0}^{1} x B(\alpha_i, \beta_i) dx = \frac{\alpha_i+1}{a_i+\beta_i+2} \end{align*}  The combined probability is then expressed as