Module « scipy.special »

Fonction btdtri - module scipy.special

Signature de la fonction btdtri

Description

btdtri.__doc__

btdtri(x1, x2, x3, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

btdtri(a, b, p)

The `p`-th quantile of the beta distribution.

This function is the inverse of the beta cumulative distribution function,
`btdtr`, returning the value of `x` for which `btdtr(a, b, x) = p`, or

.. math::
    p = \int_0^x \frac{\Gamma(a + b)}{\Gamma(a)\Gamma(b)} t^{a-1} (1-t)^{b-1}\,dt

Parameters
----------
a : array_like
    Shape parameter (`a` > 0).
b : array_like
    Shape parameter (`b` > 0).
p : array_like
    Cumulative probability, in [0, 1].

Returns
-------
x : ndarray
    The quantile corresponding to `p`.

See Also
--------
betaincinv
btdtr

Notes
-----
The value of `x` is found by interval halving or Newton iterations.

Wrapper for the Cephes [1]_ routine `incbi`, which solves the equivalent
problem of finding the inverse of the incomplete beta integral.

References
----------
.. [1] Cephes Mathematical Functions Library,
       http://www.netlib.org/cephes/