StatsVonMisesCDF

StatsVonMisesCDF (x, a, b)

The StatsVonMisesCDF function returns the von Mises cumulative distribution function

$$\displaystyle F(\theta ; a, b)=\frac{1}{2 \pi I_{0}(b)} \int_{0}^{\theta} \exp (b \cos (x-a)) d x.$$

where I₀(b ) is the modified Bessel function of the first kind bessI, and 0<θ<=2π, 0<a <=2π, and b >0.

References

Evans, M., N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed., Wiley, New York, 2000.

See Also

Statistical Analysis, StatsVonMisesPDF, StatsInvVonMisesCDF, StatsVonMisesNoise