SciPy

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:

k : array_like

Number of successes (float).

n : array_like

Number of events (float)

y : array_like

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

Returns:

p : ndarray

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 [R318] routine bdtri.

References

[R318](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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