aesara.tensor.random.beta

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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