aesara.tensor.random.beta

aesara.tensor.random.beta#

aesara.tensor.random.beta = <aesara.tensor.random.basic.BetaRV object>[source]#

A beta continuous random variable.

The probability density function for beta in terms of its parameters $\alpha$ and $\beta$ is:

$f(x; \alpha, \beta) = \frac{1}{B(\alpha, \beta)} x^{\alpha-1} (1-x)^{\beta-1}$

for $0 \leq x \leq 1$ . $B$ is the beta function defined as:

$B(\alpha, \beta) = \int_0^1 t^{\alpha-1} (1-t)^{\beta-1} \mathrm{d}t$