StatsInvMooreCDF
StatsInvMooreCDF (cdf, N)
The StatsInvMooreCDF function returns the inverse cumulative distribution function for Moore's R*, which is used as a critical value in nonparametric version of the Rayleigh test for uniform distribution around the circle. It supports the range 3<=N <=120 and does not change appreciably for N >120.
The inverse distribution is computed from polynomial approximations derived from simulations and should be accurate to approximately three significant digits.
References
Moore, B.R., A modification of the Rayleigh test for vector data, Biometrica, 67, 175-180, 1980.