In[]:=
f=TransformedDistribution[u^(1/3)*v,{uUniformDistribution[{0,1}],vUniformDistribution[{-1,1}]}]
Out[]=
TransformedDistribution
1/3
x.1
x.2,{x.1UniformDistribution[{0,1}],x.2UniformDistribution[{-1,1}]}
In[]:=
PDF[f,t]
Out[]=
-
3
4
(-1+
2
t
)
-1<t<1
0
True
In[]:=
z=TransformedDistribution[Abs[u-v],{uf,vf}]
Out[]=
TransformedDistributionAbs[u-v],uTransformedDistribution
1/3
x.1
x.2,{x.1UniformDistribution[{0,1}],x.2UniformDistribution[{-1,1}]},vTransformedDistribution
1/3
x.1
x.2,{x.1UniformDistribution[{0,1}],x.2UniformDistribution[{-1,1}]}
In[]:=
PDF[z,t]