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\begin{array}{rcl} if [1 + \exp (z_{i}^{^{'}} γ)], & π (γ_{j}) = n o r m a l {m e a n = \frac{1}{{\bar{z}}_{j} J} [\log (\frac{ε^{4}}{1 + ε^{2}})], v a r = \frac{1}{{\bar{z}}_{j}^{2} J} [\log (\frac{1 + ε^{2}}{ε^{2}})]} \\ if [\exp (z_{i}^{^{'}} γ)], & π (γ_{j}) = n o r m a l {m e a n = \frac{1}{{\bar{z}}_{j} J} [\log (\frac{1}{2})], v a r = \frac{1}{{\bar{z}}_{j}^{2} J} [\log (2)]} \\ if (1 + z_{i}^{^{'}} γ), & π (γ_{j}) = n o r m a l {m e a n = 0, v a r = \frac{1}{{\bar{z}}_{j}^{2} J}} \\ if [1 + (z_{i}^{^{'}} γ)^{2}], & π (γ_{j}) = n o r m a l {m e a n = \frac{(ε^{2} - 1 / 2)^{1 / 4}}{{\bar{z}}_{j} J}, v a r = \frac{ε - (ε^{2} - 1 / 2)^{1 / 2}}{{\bar{z}}_{j}^{2} J}} \end{array}

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\begin{eqnarray*} \text {if } \left[1+\exp (\Strong{z}^{'}_{i}{\bgamma })\right],& & \pi (\gamma _ j)= \Strong{normal} \left\{ \Variable{mean}=\frac{1}{\bar{z}_ jJ}\left[\log \left(\frac{\varepsilon ^4}{1+\varepsilon ^2}\right)\right],\Variable{var}=\frac{1}{{\bar{z}_ j}^2J}\left[\log \left(\frac{1+\varepsilon ^2}{\varepsilon ^2}\right)\right]\right\} \\ \text {if } \left[\exp (\Strong{z}^{'}_{i}{\bgamma })\right],& & \pi (\gamma _ j)= \Strong{normal} \left\{ \Variable{mean}=\frac{1}{\bar{z}_ jJ}\left[\log \left(\frac{1}{2}\right)\right],\Variable{var}=\frac{1}{{\bar{z}_ j}^2J}\left[\log \left(2\right)\right]\right\} \\ \text {if } \left(1+\Strong{z} ^{'}_{i}{\bgamma }\right),& & \pi (\gamma _ j)= \Strong{normal} \left\{ \Variable{mean}=0,\Variable{var}=\frac{1}{{\bar{z}_ j}^2J}\right\} \\ \text {if } \left[1+(\Strong{z}^{'}_{i}{\bgamma })^2\right],& & \pi (\gamma _ j)= \Strong{normal} \left\{ \Variable{mean}=\frac{(\varepsilon ^2-1/2)^{1/4}}{\bar{z}_ jJ},\Variable{var}=\frac{\varepsilon -(\varepsilon ^2-1/2)^{1/2}}{\bar{z}_ j^2J}\right\} \\ \end{eqnarray*}