Alternative Equation Formats

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MathML

\begin{array}{rcl} y_{t} (τ) & = & θ (τ; λ_{t}, β β_{t}) + ϵ_{t, τ} \\ = & β_{1 t} + β_{2 t} (\frac{1 - \exp (- λ_{t} τ)}{λ_{t} τ}) + β_{3 t} (\frac{1 - \exp (- λ_{t} τ)}{λ_{t} τ} - \exp (- λ_{t} τ)) + ϵ_{t, τ} \\ (β β_{t} - μ μ) & = & Φ Φ (β β_{t - 1} - μ μ) + η η_{t} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} y_{t}(\tau ) & = & \theta (\tau ; \lambda _{t}, \pmb {\beta }_{t}) + \epsilon _{t, \tau } \nonumber \\ & = & \beta _{1t} + \beta _{2t} \left( \frac{1 - \exp (-\lambda _{t} \tau )}{\lambda _{t} \tau } \right) + \beta _{3t} \left( \frac{1 - \exp (-\lambda _{t} \tau )}{\lambda _{t} \tau } - \exp (-\lambda _{t} \tau ) \right) + \epsilon _{t, \tau } \nonumber \\ (\pmb {\beta }_{t} - \pmb {\mu }) & = & \pmb {\Phi } (\pmb {\beta }_{t-1} - \pmb {\mu }) + \pmb {\eta }_{t} \nonumber \end{eqnarray*}