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} ρ_{i j, t + h | t} & = & \frac{q_{i j, t + h | t}}{\sqrt{q_{i i, t + h | t} q_{j j, t + h | t}}} \\ q_{i j, t + h | t} & = & {\begin{cases} (1 - α - β) s_{i j} + α \frac{ϵ_{i, t}}{σ_{i, t}} \frac{ϵ_{j, t}}{σ_{j, t}} + β q_{i j, t} & h = 1 \\ (1 - α - β) s_{i j} + α q_{i j, t + h - 1 | t} + β q_{i j, t + h - 1 | t} & h > 1 \end{cases} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \rho _{ij,t+h|t} & =& \frac{q_{ij,t+h|t}}{\sqrt{q_{ii,t+h|t} q_{jj,t+h|t}}} \\ q_{ij,t+h|t} & =& \begin{cases} (1-\alpha -\beta )s_{ij} + \alpha \frac{\bepsilon _{i,t}}{\sigma _{i,t}}\frac{\bepsilon _{j,t}}{\sigma _{j,t}} + \beta q_{ij,t} & ~ ~ ~ ~ h=1\\ (1-\alpha -\beta )s_{ij} + \alpha q_{ij,t+h-1|t} + \beta q_{ij,t+h-1|t} & ~ ~ ~ ~ h>1\\ \end{cases}\end{eqnarray*}