jax.scipy.stats.gumbel_l.logpdf

jax.scipy.stats.gumbel_l.logpdf(x, loc=0, scale=1)

Gumbel Distribution (Left Skewed) log probability distribution function.

JAX implementation of scipy.stats.gumbel_l logpdf.

\[f_{pdf}(x; \mu, \beta) = \frac{1}{\beta} \exp\left( \frac{x - \mu}{\beta} - \exp\left( \frac{x - \mu}{\beta} \right) \right)\]

Parameters:

• x (Array | ndarray | bool | number | bool | int | float | complex) – ArrayLike, value at which to evaluate log(pdf)

• loc (Array | ndarray | bool | number | bool | int | float | complex) – ArrayLike, distribution offset (\(\mu\)) (defaulted to 0)

• scale (Array | ndarray | bool | number | bool | int | float | complex) – ArrayLike, distribution scaling (\(\beta\)) (defaulted to 1)

Returns:

array of logpdf values

Return type:

Array

See also

• jax.scipy.stats.gumbel_l.pdf()

• jax.scipy.stats.gumbel_l.logcdf()

• jax.scipy.stats.gumbel_l.cdf()

• jax.scipy.stats.gumbel_l.ppf()

• jax.scipy.stats.gumbel_l.logsf()

• jax.scipy.stats.gumbel_l.sf()