Merge pull request #89 from DoubleML/m-iivm-docu

fix typos in iivm model equations

Author: MalteKurz

doubleml/double_ml_iivm.py

@@ -83,7 +83,7 @@ class DoubleMLIIVM(DoubleML):
 
     .. math::
 
-        Y = g_0(D, X) + \\zeta, & &\\mathbb{E}(\\zeta | Z, X) = 0,
+        Y = \\ell_0(D, X) + \\zeta, & &\\mathbb{E}(\\zeta | Z, X) = 0,
 
         Z = m_0(X) + V, & &\\mathbb{E}(V | X) = 0,
 
@@ -95,17 +95,17 @@ class DoubleMLIIVM(DoubleML):
 
     .. math::
 
-        Y = g_0(D, X) + \\zeta, & &\\mathbb{E}(\\zeta | Z, X) = 0,
+        Y = g_0(Z, X) + \\nu, & &\\mathbb{E}(\\nu| Z, X) = 0,
 
-        D = r_0(D, X) + U, & &\\mathbb{E}(U | Z, X) = 0,
+        D = r_0(Z, X) + U, & &\\mathbb{E}(U | Z, X) = 0,
 
         Z = m_0(X) + V, & &\\mathbb{E}(V | X) = 0.
 
     The target parameter of interest in this model is the local average treatment effect (LATE),
 
     .. math::
 
-        \\theta_0 = \\frac{\\mathbb{E}[g(1, X)] - \\mathbb{E}[g(0,X)]}{\\mathbb{E}[r(1, X)] - \\mathbb{E}[r(0,X)]}.
+        \\theta_0 = \\frac{\\mathbb{E}[g_0(1, X)] - \\mathbb{E}[g_0(0,X)]}{\\mathbb{E}[r_0(1, X)] - \\mathbb{E}[r_0(0,X)]}.
     """
     def __init__(self,
                  obj_dml_data,