scipy.special.bdtrin(k, y, p) = <ufunc 'bdtrin'>

Inverse function to bdtr with respect to n.

Finds the number of events n such that the sum of the terms 0 through k of the Binomial probability density for events with probability p is equal to the given cumulative probability y.


k : array_like

Number of successes (float).

y : array_like

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

p : array_like

Success probability (float).


n : ndarray

The number of events n such that bdtr(k, n, p) = y.

See also



Formula 26.5.24 of [R421] is used to reduce the binomial distribution to the cumulative incomplete beta distribution.

Computation of n involves a search for a value that produces the desired value of y. The search relies on the monotonicity of y with n.

Wrapper for the CDFLIB [R422] Fortran routine cdfbin.


[R421](1, 2) Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.
[R422](1, 2) Barry Brown, James Lovato, and Kathy Russell, CDFLIB: Library of Fortran Routines for Cumulative Distribution Functions, Inverses, and Other Parameters.

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