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Module « scipy.special »

Fonction ndtri_exp - module scipy.special

Signature de la fonction ndtri_exp

def ndtri_exp(*args, **kwargs) 

Description

help(scipy.special.ndtri_exp)

ndtri_exp(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature])

ndtri_exp(y, out=None)

Inverse of `log_ndtr` vs x. Allows for greater precision than
`ndtri` composed with `numpy.exp` for very small values of y and for
y close to 0.

Parameters
----------
y : array_like of float
    Function argument
out : ndarray, optional
    Optional output array for the function results

Returns
-------
scalar or ndarray
    Inverse of the log CDF of the standard normal distribution, evaluated
    at y.

See Also
--------
log_ndtr : log of the standard normal cumulative distribution function
ndtr : standard normal cumulative distribution function
ndtri : standard normal percentile function

Examples
--------
>>> import numpy as np
>>> import scipy.special as sc

`ndtri_exp` agrees with the naive implementation when the latter does
not suffer from underflow.

>>> sc.ndtri_exp(-1)
-0.33747496376420244
>>> sc.ndtri(np.exp(-1))
-0.33747496376420244

For extreme values of y, the naive approach fails

>>> sc.ndtri(np.exp(-800))
-inf
>>> sc.ndtri(np.exp(-1e-20))
inf

whereas `ndtri_exp` is still able to compute the result to high precision.

>>> sc.ndtri_exp(-800)
-39.88469483825668
>>> sc.ndtri_exp(-1e-20)
9.262340089798409

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