Alternative Equation Formats

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

MathML

L_{j} = Pr (Y = y_{j} | x_{j}) = {\begin{cases} \frac{e^{α_{i} + x_{j}^{'} β_{i}}}{1 + \sum_{m = 1}^{k} e^{α_{m} + x_{j}^{'} β_{m}}} & 1 \leq y_{j} = i \leq k \\ \frac{1}{1 + \sum_{m = 1}^{k} e^{α_{m} + x_{j}^{'} β_{m}}} & y_{j} = k + 1 \end{cases}

Math Rendered as SVG

Math as LaTeX Source

\[ L_ j = {\Pr }({Y}=y_ j|\mb{x}_ j) = \left\{ \begin{array}{ll} \displaystyle \frac{{e}^{\alpha _{i}+\mb{x}_ j'\bbeta _{i}}}{1+\sum _{m=1}^{k} {e}^{\alpha _{m}+\mb{x}_ j' \bbeta _{m}}} & 1\le y_ j=i\le k \\[1em] \displaystyle \frac{1}{1+\sum _{m=1}^{k} {e}^{\alpha _{m}+\mb{x}_ j' \bbeta _{m}}} & y_ j=k+1 \end{array} \right. \]