Typo.

Author: SebKrantz

misc/dynamic_factor_models/dynamic_factor_models.pdf

@@ -182,7 +182,7 @@ \section{Mixed Frequency}
 \begin{equation}
 \log(X^q_t) - \log(X^q_{t-3}) = \frac{1}{3}[\log(\tilde{X}^m_t) - \log(\tilde{X}^m_{t-3})] + \frac{1}{3}[\log(\tilde{X}^m_{t-1})-\log(\tilde{X}^m_{t-4})] + \frac{1}{3}[\log(\tilde{X}^m_{t-2})-\log(\tilde{X}^m_{t-5})].
 \end{equation}
-Adding and subtracting further lags and leads on the right-hand side, and denoting the growth rate by lowercase letters, i.e. $x^q_t = \log(X^q_t) - \log(X^q_{t-3})$ and $\tilde{x}^m_t = \log(\tilde{X}^m_t) - \log(\tilde{X}^m_{t-1})$, yields
+Adding and subtracting further lags on the right-hand side, and denoting the growth rate by lowercase letters, i.e. $x^q_t = \log(X^q_t) - \log(X^q_{t-3})$ and $\tilde{x}^m_t = \log(\tilde{X}^m_t) - \log(\tilde{X}^m_{t-1})$, yields
 \begin{align}
 x^q_t &= \frac{1}{3}[\tilde{x}^m_t + \tilde{x}^m_{t-1} + \tilde{x}^m_{t-2}] + \frac{1}{3}[\tilde{x}^m_{t-1} + \tilde{x}^m_{t-2} + \tilde{x}^m_{t-3}] + \frac{1}{3}[\tilde{x}^m_{t-2} + \tilde{x}^m_{t-3} + \tilde{x}^m_{t-4}] \\
  &= \frac{1}{3}\tilde{x}^m_t + \frac{2}{3}\tilde{x}^m_{t-1} + \tilde{x}^m_{t-2} + \frac{2}{3}\tilde{x}^m_{t-3} + \frac{1}{3}\tilde{x}^m_{t-4}.