bdtri#

scipy.special.bdtri(k,n,y,out=None)#

Inverse function tobdtr with respect top.

Finds the event probabilityp such that the sum of the terms 0 throughk of the binomial probability density is equal to the given cumulativeprobabilityy.

Parameters:

karray_like

Number of successes (float), rounded down to the nearest integer.

narray_like

Number of events (float)

yarray_like

Cumulative probability (probability ofk or fewer successes innevents).

outndarray, optional

Optional output array for the function values

Returns:

pscalar or ndarray

The event probability such thatbdtr(lfloor k rfloor, n, p) = y.

See also

bdtr

betaincinv

Notes

The computation is carried out using the inverse beta integral functionand the relation,:

1-p=betaincinv(n-k,k+1,y).

Wrapper for the Cephes[1] routinebdtri.

Array API Standard Support

bdtri has experimental support for Python Array API Standard compatiblebackends in addition to NumPy. Please consider testing these featuresby setting an environment variableSCIPY_ARRAY_API=1 and providingCuPy, PyTorch, JAX, or Dask arrays as array arguments. The followingcombinations of backend and device (or other capability) are supported.

Library	CPU	GPU
NumPy	✅	n/a
CuPy	n/a	✅
PyTorch	✅	⛔
JAX	⚠️ no JIT	⛔
Dask	✅	n/a

SeeSupport for the array API standard for more information.

References

[1]

Cephes Mathematical Functions Library,http://www.netlib.org/cephes/