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bdtri
Inverse binomial distribution.SYNOPSIS:
int k, n;
double p, y, bdtri();
p = bdtr(k, n, y);
DESCRIPTION:
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.
This is accomplished using the inverse beta integral function and the relation:
1 - p = incbi(n-k, k+1, y).
ACCURACY:
Tested at random points (a,b,p).
a,b Relative error:
arithmetic domain # trials peak rms
For p between 0.001 and 1:
IEEE 0,100 100000 2.3e-14 6.4e-16
IEEE 0,10000 100000 6.6e-12 1.2e-13
For p between 10^-6 and 0.001:
IEEE 0,100 100000 2.0e-12 1.3e-14
IEEE 0,10000 100000 1.5e-12 3.2e-14
See the incbi Help topic.
ERROR MESSAGES:
message condition value returned
domain k < 0, n <= k 0.0
x < 0, x > 1