scipy.special.bdtrin¶

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.
 Parameters
 karray_like
Number of successes (float).
 yarray_like
Cumulative probability (probability of k or fewer successes in n events).
 parray_like
Success probability (float).
 Returns
 nndarray
The number of events n such that bdtr(k, n, p) = y.
See also
Notes
Formula 26.5.24 of [1] 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 [2] Fortran routine cdfbin.
References
 1
Milton Abramowitz and Irene A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972.
 2
Barry Brown, James Lovato, and Kathy Russell, CDFLIB: Library of Fortran Routines for Cumulative Distribution Functions, Inverses, and Other Parameters.