Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

\begin{array}{rcl} L & = & \prod_{i} [Pr (T_{i} = t_{i})]^{δ_{i}} [Pr (T_{i} > t_{i})]^{1 - δ_{i}} \\ = & \prod_{i} {(\frac{λ_{i t_{i}}}{1 - λ_{i t_{i}}})}^{δ_{i}} \prod_{j = 1}^{t_{i}} (1 - λ_{i j}) \\ = & \prod_{i} \prod_{j = 1}^{t_{i}} {(\frac{λ_{i j}}{1 - λ_{i j}})}^{y_{i j}} (1 - λ_{i j}) \end{array}

MathML rendered with MathJax

\begin{array}{rcl} L & = & \prod_{i} [Pr (T_{i} = t_{i})]^{δ_{i}} [Pr (T_{i} > t_{i})]^{1 - δ_{i}} \\ = & \prod_{i} {(\frac{λ_{i t_{i}}}{1 - λ_{i t_{i}}})}^{δ_{i}} \prod_{j = 1}^{t_{i}} (1 - λ_{i j}) \\ = & \prod_{i} \prod_{j = 1}^{t_{i}} {(\frac{λ_{i j}}{1 - λ_{i j}})}^{y_{i j}} (1 - λ_{i j}) \end{array}

Math as LaTeX Source

\begin{eqnarray*} L & = & \prod _ i [{\Pr }(T_ i=t_ i)]^{\delta _ i} [{\Pr }(T_ i > t_ i)]^{1-\delta _ i} \\ & = & \prod _ i \left(\frac{\lambda _{it_ i}}{1 - \lambda _{it_ i}} \right)^{\delta _ i} \prod _{j=1}^{t_ i} (1-\lambda _{ij}) \\ & = & \prod _ i \prod _{j=1}^{t_ i} \left(\frac{\lambda _{ij}}{1 - \lambda _{ij}}\right)^{y_{ij}} (1-\lambda _{ij}) \end{eqnarray*}