mars.tensor.special.betaincinv#
- mars.tensor.special.betaincinv(a, b, y, out=None, **kwargs)[source]#
Inverse of the incomplete beta function.
Computes \(x\) such that:
\[y = I_x(a, b) = \frac{\Gamma(a+b)}{\Gamma(a)\Gamma(b)} \int_0^x t^{a-1}(1-t)^{b-1}dt,\]where \(I_x\) is the normalized incomplete beta function betainc and \(\Gamma\) is the gamma function 1.
- Parameters
a (array-like) – Positive, real-valued parameters
b (array-like) – Positive, real-valued parameters
y (array-like) – Real-valued input
out (ndarray, optional) – Optional output array for function values
- Returns
Value of the inverse of the incomplete beta function
- Return type
array-like
References
- 1
NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/8.17