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Module « scipy.special »

Fonction ndtri - module scipy.special

Signature de la fonction ndtri

def ndtri(*args, **kwargs) 

Description

help(scipy.special.ndtri)

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

ndtri(y, out=None)

Inverse of `ndtr` vs x

Returns the argument x for which the area under the standard normal
probability density function (integrated from minus infinity to `x`)
is equal to y.

Parameters
----------
p : array_like
    Probability
out : ndarray, optional
    Optional output array for the function results

Returns
-------
x : scalar or ndarray
    Value of x such that ``ndtr(x) == p``.

See Also
--------
ndtr : Standard normal cumulative probability distribution
ndtri_exp : Inverse of log_ndtr

Examples
--------
`ndtri` is the percentile function of the standard normal distribution.
This means it returns the inverse of the cumulative density `ndtr`. First,
let us compute a cumulative density value.

>>> import numpy as np
>>> from scipy.special import ndtri, ndtr
>>> cdf_val = ndtr(2)
>>> cdf_val
0.9772498680518208

Verify that `ndtri` yields the original value for `x` up to floating point
errors.

>>> ndtri(cdf_val)
2.0000000000000004

Plot the function. For that purpose, we provide a NumPy array as argument.

>>> import matplotlib.pyplot as plt
>>> x = np.linspace(0.01, 1, 200)
>>> fig, ax = plt.subplots()
>>> ax.plot(x, ndtri(x))
>>> ax.set_title("Standard normal percentile function")
>>> plt.show()

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