aesara.tensor.random.gamma

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aesara.tensor.random.gamma#

aesara.tensor.random.gamma = <aesara.tensor.random.basic.GammaRV object>[source]#

A gamma continuous random variable.

The probability density function for gamma in terms of the shape parameter \alpha and rate parameter \beta is:

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

for x \geq 0, \alpha > 0 and \beta > 0. \Gamma is the gamma function:

\Gamma(x) = \int_0^{\infty} t^{x-1} e^{-t} \mathrm{d}t