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shogun-toolbox · Jul 1, 2016 · 0258a3f · 0258a3f
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diff --git a/doc/cookbook/source/examples/statistical_testing/linear_time_mmd.rst b/doc/cookbook/source/examples/statistical_testing/linear_time_mmd.rst
@@ -2,12 +2,13 @@
 Linear Time MMD
 ===============
 
-The unbiased statistic is given by
+The linear time MMD implements a nonparametric statistical hypothesis test to reject the null hypothesis that to distributions :math:`p` and :math:`q`, each only observed via :math:`n` samples, are the same, i.e. :math:`H_0:p=q`.
+
+The (unbiased) statistic is given by
 
 .. math::
 
   \frac{2}{n}\sum_{i=1}^n k(x_{2i},x_{2i}) + k(x_{2i+1}, x_{2i+1}) - 2k(x_{2i},x_{2i+1}).
-  
 
 See :cite:`gretton2012kernel` for a detailed introduction.
 

diff --git a/doc/cookbook/source/examples/statistical_testing/quadratic_time_mmd.rst b/doc/cookbook/source/examples/statistical_testing/quadratic_time_mmd.rst
@@ -2,11 +2,7 @@
 Quadratic Time MMD
 ==================
 
-The Quadratic time MMD implements a nonparametric statistical hypothesis test to reject the null hypothesis that to distributions :math:`p` and :math:`q`, only observed via :math:`n` and :math:`m` samples respectively, are the same:
-
-.. math::
-
-  H_0:p=q.
+The quadratic time MMD implements a nonparametric statistical hypothesis test to reject the null hypothesis that to distributions :math:`p` and :math:`q`, only observed via :math:`n` and :math:`m` samples respectively, are the same, i.e. :math:`H_0:p=q`.
 
 The (biased) test statistic is given by
 
@@ -37,7 +33,7 @@ Biased statistic
 
 .. sgexample:: quadratic_time_mmd.sg:estimate_mmd_biased
 
-There are multiple ways to perform the actual hypothesis test. The permutation version simulates from :math:`H_0` via repeatedly permuting the samples from :math:`p` and :math:`q`:
+There are multiple ways to perform the actual hypothesis test, see :sgclass:`CQuadraticTimeMMD` for details. The permutation version simulates from :math:`H_0` via repeatedly permuting the samples from :math:`p` and :math:`q`:
 
 .. sgexample:: quadratic_time_mmd.sg:perform_test_permutation