Testing MathJax on GitHub Pages
Inline Math
Here’s some inline math: $E = mc^2$ and $\beta < 0$. Another version with no dollar signs is \(\alpha + \beta = \gamma\).
Display Math
Display equation: \(\Delta y_t = \beta y_{t-1} + \gamma_1 \Delta y_{t-1} + \gamma_2 \Delta y_{t-2}\) or with no dollar signs: \[ \Delta y_t = \beta y_{t-1} + \gamma_1 \Delta y_{t-1} + \gamma_2 \Delta y_{t-2} \]
Aligned Equations
with dollar signs:
\[\begin{align} y_t &= \mu_t + \epsilon_t\\ \mu_{t} &= \mu_{t-1} + \delta_t \end{align}\]and as well with no dollar signs:
\[
\begin{align}
y_t &= \mu_t + \epsilon_t
\mu_{t} &= \mu_{t-1} + \delta_t
\end{align}
\]
Complex Expression
\[ \text{ADF} = \frac{\int W(t)dW(t)}{\bigl(\int W^2(t)dt\bigr)^{3/2}} \]
Variance Ratio
\(\text{VR} = \frac{\text{Var}(y_{t+k}-y_t)}{k \sigma^2}\)
If you can see all these equations properly formatted, MathJax is working!