Alternative Equation Formats

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

MathML

( σ t + d | t 2 ) λ = ω + i = 1 d 1 α i ( ( 1 + ψ i ) 2 λ + ( 1 ψ i ) 2 λ ) ( σ t + d i | t 2 ) λ / 2 + i = d q α i ( | ϵ t + d i | ψ i ϵ t + d i ) 2 λ + j = 1 d 1 γ j ( σ t + d j | t 2 ) λ + j = d p γ j h t + d j λ

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} ({\sigma }^{2}_{t+d|t})^{\lambda } = \omega & + & \sum _{i=1}^{d-1}{{\alpha }_{i}((1+\psi _{i})^{2\lambda }+(1-\psi _{i})^{2\lambda })({\sigma }^{2}_{t+d-i|t})^{\lambda }/2} \\ & + & \sum _{i=d}^{q}{{\alpha }_{i} (|{\epsilon }_{t+d-i}|-{\psi }_{i}{\epsilon }_{t+d-i})^{2\lambda }} \\ & + & \sum _{j=1}^{d-1}{{\gamma }_{j}({\sigma }^{2}_{t+d-j|t})^{\lambda } } + \sum _{j=d}^{p}{{\gamma }_{j} h_{t+d-j}^{\lambda }} \end{eqnarray*}