Mapping Random Variables
Explore how transforming a random variable reshapes its probability density. Choose a source distribution, pick a mapping (linear, quadratic, quantizer, or custom piecewise), and see both the mapping function and the resulting output density update instantly.
Statistical demo
Interactive plots
Controls
PDF mapping
Source
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Mapping
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Notable
Dirac masses appear as stem arrows
Input PDF \(f_X(x)\)
Mapping \(g(x)\)
Mapped PDF \(f_Y(y)\)