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Visualize Likelihood Functions for Data
The integrated architecture of Mathematica 6 makes it easy to visualize statistical properties of data—here the log likelihood surface for a gamma-distributed sample.
In[1]:= | Plot3D[Evaluate[ Total[Log[ Map[PDF[GammaDistribution[\[Alpha], \[Beta]], #] &, RandomReal[GammaDistribution[2, 10], 50]]]]], {\[Alpha], 0.5, 5}, {\[Beta], 2, 25}, MeshFunctions -> {#3 &}, ColorFunction -> "SouthwestColors"] |
Out[1]= |