scipy.special.

btdtri

scipy.special.btdtri(a, b, p, out=None)

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

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

Deprecated since version 1.12.0: This function is deprecated and will be removed from SciPy 1.14.0. Use scipy.special.betaincinv instead.

Parameters:

aarray_like

Shape parameter (a > 0).

barray_like

Shape parameter (b > 0).

parray_like

Cumulative probability, in [0, 1].

outndarray, optional

Optional output array for the function values

Returns:

xscalar or 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/