scipy.special.
btdtr#
- scipy.special.btdtr(a, b, x, out=None)[source]#
Cumulative distribution function of the beta distribution.
Returns the integral from zero to x of the beta probability density function,
\[I = \int_0^x \frac{\Gamma(a + b)}{\Gamma(a)\Gamma(b)} t^{a-1} (1-t)^{b-1}\,dt\]where \(\Gamma\) is the gamma function.
Deprecated since version 1.12.0: This function is deprecated and will be removed from SciPy 1.14.0. Use
scipy.special.betainc
instead.- Parameters:
- aarray_like
Shape parameter (a > 0).
- barray_like
Shape parameter (b > 0).
- xarray_like
Upper limit of integration, in [0, 1].
- outndarray, optional
Optional output array for the function values
- Returns:
- Iscalar or ndarray
Cumulative distribution function of the beta distribution with parameters a and b at x.
See also
Notes
This function is identical to the incomplete beta integral function
betainc
.Wrapper for the Cephes [1] routine
btdtr
.References
[1]Cephes Mathematical Functions Library, http://www.netlib.org/cephes/