scipy.special.bdtri

scipy.special.bdtri(k, n, y, out=None) = <ufunc 'bdtri'>

Inverse function to bdtr with respect to p.

Finds the event probability p such that the sum of the terms 0 through k of the binomial probability density is equal to the given cumulative probability y.

Parameters:

karray_like

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

narray_like

Number of events (float)

yarray_like

Cumulative probability (probability of k or fewer successes in n events).

outndarray, optional

Optional output array for the function values

Returns:

pscalar or ndarray

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

See also

bdtr

betaincinv

Notes

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

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

Wrapper for the Cephes [1] routine bdtri.

References

[1]

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