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8: Nonparametric, Derived, and Formula Distributions
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Core Algorithms
Perform Affine Transformations on a Normal Distribution
Generate a family of normal distributions using affine transformations of the standard normal distribution in
TransformedDistribution
.
In[1]:=
X
Framed[Plot[ Evaluate@Table[ PDF[TransformedDistribution[f, x \[Distributed] NormalDistribution[0, 1]], x], {f, {x, x + 3/2, x - 3/2, 1.5 x, x/2.1}}], {x, -5, 5}, PlotStyle -> Thick, Filling -> Axis, Background -> LightOrange, ImageSize -> 550], RoundingRadius -> 10, FrameStyle -> GrayLevel@0.3, FrameMargins -> 10, ImageSize -> 500]
Out[1]=