aesara.tensor.random.betabinom#

aesara.tensor.random.betabinom = <aesara.tensor.random.basic.BetaBinomialRV object>[source]#

A beta-binomial discrete random variable.

The probability mass function for betabinom in terms of its shape parameters $n \geq 0$ , $a > 0$ , $b > 0$ and the probability $p$ is:

$f(k; p, n, a, b) = {n \choose k} \frac{\operatorname{B}(k+a, n-k+b)}{\operatorname{B}(a,b)}$

where $\operatorname{B}$ is the beta function:

$\operatorname{B}(a, b) = \int_0^1 t^{a-1} (1-t)^{b-1} \mathrm{d}t$

aesara.tensor.random.betabinom