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scipy.special.btdtr¶
- scipy.special.btdtr(a, b, x) = <ufunc 'btdtr'>¶
Cumulative density function of the beta distribution.
Returns the integral from zero to x of the beta probability density function,
I=∫x0Γ(a+b)Γ(a)Γ(b)ta−1(1−t)b−1dtwhere Γ is the gamma function.
Parameters: a : array_like
Shape parameter (a > 0).
b : array_like
Shape parameter (b > 0).
x : array_like
Upper limit of integration, in [0, 1].
Returns: I : ndarray
Cumulative density 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 [R328] routine btdtr.
References
[R328] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html