jax.scipy.stats.gumbel_l.logcdf

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

Gumbel Distribution (Left Skewed) log cumulative density function.

JAX implementation of scipy.stats.gumbel_l logcdf.

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

Parameters:

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

• 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 logcdf values

Return type:

Array

See also

• jax.scipy.stats.gumbel_l.logpdf()

• jax.scipy.stats.gumbel_l.pdf()

• jax.scipy.stats.gumbel_l.cdf()

• jax.scipy.stats.gumbel_l.ppf()

• jax.scipy.stats.gumbel_l.logsf()

• jax.scipy.stats.gumbel_l.sf()