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Detecting regularity in minefields and chaotic signals using the empty boxes test

A simple, flexible, and robust procedure to detect regularity in point processes versus the alternative of randomness (i.e., a Poisson point process) is the empty boxes test (EBT). The EBT can be extended to a multivariate statistical test in several ways including an implementation of a skeptical likelihood test (SLT). These approaches have previously been used to detect the regularity of minefields, a two-dimensional point process, where the alternative is termed complete spatial randomness (CSR). These methods are applied to the problem of detecting regularity in chaotic signals such as pseudo-random number generators.