WSC '96 Proceedings of the 28th conference on Winter simulation
Close-Point Spatial Tests and Their Application to Random Number Generators
Operations Research
TestU01: A C library for empirical testing of random number generators
ACM Transactions on Mathematical Software (TOMS)
Efficient Monte Carlo simulation via the generalized splitting method
Statistics and Computing
Hi-index | 0.03 |
The Anderson-Darling distribution plays an important role in the statistical testing of uniformity. However, it is difficult to evaluate, especially in its tail. We consider a new Monte Carlo approach to approximate the tail probabilities of the Anderson-Darling distribution. The estimates are compared with existing tables and recent numerical approximations, obtained via numerical inversion and naive Monte Carlo. Our results demonstrate improved accuracy over existing tables and approximating functions for small tail probabilities. We also present an approximating function for tail probabilities of less than 3x10^-^2.