deletions | additions       diff --git a/The_above_two_methods_to__.tex b/The_above_two_methods_to__.tex  index a332b2e..4e509a7 100644  --- a/The_above_two_methods_to__.tex  +++ b/The_above_two_methods_to__.tex 
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If both methods can be applied, results from two methods may be combined in a statistical ensemble approach as follows:  The incidence rate obtained using method $i$ is assumed distributed Beta with shape and scale parameters $a_i $\alpha_i  + 1$ and $b_i $\beta_i  + 1$, respectively, and determined using the method of moments based on equation \ref{eqn:betamoments}: $I_i \sim B(a_i B(\alpha_i  + 1. b_i \beta_i  + 1)$ so that \begin{align*}  Prob(x = \textrm{TB})= \int_{0}^{1} x B(a_i,b_i) B(\alpha_i, \beta_i)  dx = \frac{a_i+1}{a_i+b_i+2} \frac{\alpha_i+1}{a_i+\beta_i+2}  \end{align*}  The combined probability is then expressed as   \begin{align*}  Prob(x = \textrm{TB}) = \frac{\sum{a_i}+1}{\sum{a_i}+\sum{b_i}+2} \frac{\sum{\alpha_i}+1}{\sum{\alpha_i}+\sum{\beta_i}+2}  \end{align*}