std Beta Inv CDF
fun stdBetaInvCDF(p: Double, alpha: Double, beta: Double, lnBetaA1A2: Double = logBetaFunction(alpha, beta), initialX: Double = approximateInvCDF(alpha, beta, p, lnBetaA1A2), searchDelta: Double = delta): Double
Computes the CDF of the standard beta distribution, has accuracy to about 10e-9
Parameters
p
the probability that needs to be evaluated
alpha
the first shape parameter, must be greater than 0
beta
the second shape parameter, must be greater than 0
ln Beta A1A2
the logBetaFunction(alpha1, alpha2)
initial X
an initial approximation for the returned value x
search Delta
the suggested delta around the initial approximation