Beta¤
distreqx.distributions.Beta(distreqx.distributions.AbstractSampleLogProbDistribution, distreqx.distributions.AbstractSTDDistribution, distreqx.distributions.AbstractProbDistribution, distreqx.distributions.AbstractSurvivalDistribution)
Beta distribution with parameters alpha and beta.
The PDF of a Beta-distributed random variable \(X\) is defined on the interval \(0 \le X \le 1\) and has the form:
\[
p(x; \alpha, \beta)
= \frac{x^{\alpha - 1}(1 - x)^{\beta - 1}}{B(\alpha, \beta)}
\]
where \(B(\alpha, \beta)\) is the beta function, and \(\alpha, \beta > 0\) are the shape parameters.
Note that the support of the distribution does not include \(x = 0\) or \(x = 1\) if \(\alpha < 1\) or \(\beta < 1\), respectively.
__init__(alpha: float | Float[Array, '...'], beta: float | Float[Array, '...'])
¤
Initializes a Beta distribution.
Arguments:
alpha: Shape parameteralphaof the distribution. Must be positive.beta: Shape parameterbetaof the distribution. Must be positive.