scipy.special.bdtri

scipy.special.bdtri(k, n, y) = <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).

narray_like

Number of events (float)

yarray_like

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

Returns

pndarray

The event probability such that bdtr(k, 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(1,2)

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