diff --git a/doc/source/iv/estimators.lyx b/doc/source/iv/estimators.lyx index 88fea2762c..e6b7a31d1d 100644 --- a/doc/source/iv/estimators.lyx +++ b/doc/source/iv/estimators.lyx @@ -170,7 +170,7 @@ x_{2i} & =\underset{\textrm{exogenous}}{\underbrace{\gamma_{1}^{\prime}z_{1i}}}+ The model can be expressed compactly \begin_inset Formula \begin{align*} -Y & =X_{1}\beta_{1}+X_{2}\beta_{1}+\epsilon=X\beta+\epsilon\\ +Y & =X_{1}\beta_{1}+X_{2}\beta_{2}+\epsilon=X\beta+\epsilon\\ X_{2} & =Z_{1}\gamma_{1}+Z_{2}\gamma_{2}+u=Z\gamma+u \end{align*} @@ -218,7 +218,7 @@ The vector of instruments \begin_inset Formula $k$ \end_inset - matrix if regressors where row + matrix of regressors where row \begin_inset Formula $i$ \end_inset diff --git a/doc/source/iv/estimators.txt b/doc/source/iv/estimators.txt index bbb8a5110c..cd8c975fa5 100644 --- a/doc/source/iv/estimators.txt +++ b/doc/source/iv/estimators.txt @@ -32,14 +32,14 @@ The model can be expressed compactly .. math:: \begin{aligned} - Y & =X_{1}\beta_{1}+X_{2}\beta_{1}+\epsilon=X\beta+\epsilon\\ + Y & =X_{1}\beta_{1}+X_{2}\beta_{2}+\epsilon=X\beta+\epsilon\\ X_{2} & =Z_{1}\gamma_{1}+Z_{2}\gamma_{2}+u=Z\gamma+u\end{aligned} The vector of instruments :math:`z_{i}` is :math:`p` by 1. There are :math:`n` observations for all variables. :math:`k_{c}=1` if the model contains a constant (either explicit or implicit, i.e., including all categories of a dummy variable). The constant, if included, is in -:math:`x_{1i}`. :math:`X` is the :math:`n` by :math:`k` matrix if +:math:`x_{1i}`. :math:`X` is the :math:`n` by :math:`k` matrix of regressors where row :math:`i` of :math:`X` is :math:`x_{i}^{\prime}`. :math:`X` can be partitioned into :math:`\left[X_{1}\;X_{2}\right]`. :math:`Z` is the :math:`n` by :math:`p` matrix of instruments. The