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Use PyTensor distributions (#706)
* use pytensor-distributions * update version * use numpy functions * fix docs * fix docs
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docs/distributions/gallery/discrete_weibull.md

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@@ -25,7 +25,7 @@ The Discrete Weibull distribution is predominantly used in reliability engineeri
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Support :math:`x \in \mathbb{N}_0`
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Mean :math:`\mu = \sum_{x = 1}^{\infty} q^{x^{\beta}}`
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Variance :math:`2 \sum_{x = 1}^{\infty} x q^{x^{\beta}} - \mu - \mu^2`
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```
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**Parameters:**

docs/distributions/gallery/weibull.md

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Support :math:`x \in [0, \infty)`
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Mean :math:`\beta \Gamma(1 + \frac{1}{\alpha})`
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Variance :math:`\beta^2 \Gamma(1 + \frac{2}{\alpha} - \mu^2/\beta^2)`
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```
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**Parameters:**

docs/distributions/img/Beta.png

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docs/distributions/img/Cauchy.png

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docs/distributions/img/Gamma.png

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docs/distributions/img/Gumbel.png

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