Normalization of Formula Distributions
Use ProbabilityDistribution with option Method->"Normalize" to automatically compute the normalization coefficient.
In[1]:=
![Click for copyable input](assets.en/normalization-of-formula-distributions/In_33.png)
uv\[ScriptCapitalD] =
ProbabilityDistribution[Sin[x] Exp[-x], {x, 0, Pi},
Method -> "Normalize"]
Out[1]=
![](assets.en/normalization-of-formula-distributions/O_28.png)
Sample from the distribution and compare the histogram with the density function.
show complete Wolfram Language input
Out[2]=
![](assets.en/normalization-of-formula-distributions/O_29.png)
Normalize a multivariate distribution with option Method->"Normalize".
In[3]:=
![Click for copyable input](assets.en/normalization-of-formula-distributions/In_35.png)
mv\[ScriptCapitalD] =
ProbabilityDistribution[Boole[x^2 + y^2 < 1], {x, 0, 1}, {y, 0, 1},
Method -> "Normalize"]
Out[3]=
![](assets.en/normalization-of-formula-distributions/O_30.png)
show complete Wolfram Language input
Out[4]=
![](assets.en/normalization-of-formula-distributions/O_31.png)