StatsKuiperCDF

StatsKuiperCDF (V)

The StatsKuiperCDF function returns the Kuiper cumulative distribution function

$$\displaystyle F(V)=1-2 \sum_{j=1}^{\infty}\left(4 j^{2} V^{2}-1\right) \exp \left(-2 j^{2} V^{2}\right) .$$

Accuracy is on the order of 1e-15. It returns 0 for values of V <0.4 or 1 for V >3.1.

References

See in particular Section 14.3 of

Press, William H., et al., Numerical Recipes in C, Cambridge University Press, New York, 1992.

See Also

Statistical Analysis, StatsInvKuiperCDF