Distributions

Arcsine Distribution The PDF is $$ \frac{1}{\pi\sqrt{x(1-x)}} $$ for $x\in [0,1]$. It can also be …

Two categories with probability $p$ and $1-p$ respectively. For each experiment, the sample space is …

Beta Distribution Interact Alpha Beta mode ((beta_mode)) median ((beta_median)) mean ((beta_mean)) …

The number of successes in $n$ independent events where each trial has a success rate of $p$. PMF: …

By generalizing the Bernoulli distribution to $k$ states, we get a categorical distribution. The …

Cauchy-Lorentz Distribution .. ratio of two independent normally distributed random variables with …

Gamma Distribution PDF: $$ \frac{\beta^\alpha x^{\alpha-1} e^{-\beta x}}{\Gamma(\alpha)} $$ …