Arcsine Distribution

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#Statistics #Distributions

Arcsine Distribution

The PDF is

$$ \frac{1}{\pi\sqrt{x(1-x)}} $$

for $x\in [0,1]$.

It can also be generalized to

$$ \frac{1}{\pi\sqrt{(x-1)(b-x)}} $$

for $x\in [a,b]$.

Visualize

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References:
  1. Arcsine Distribution @ Wikipedia
  2. stdlib.js documentation
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L Ma (2020). 'Arcsine Distribution', Datumorphism, 03 April. Available at: https://datumorphism.leima.is/cards/statistics/distributions/arcsine/.