High quality pseudorandom number generators were needed in many software solutions throughout the history of programming. Nowadays, these play an even more significant role development. Generally, bring a certain level coincidence some algorithms which need it. This work focuses on statistical evaluation one representatives using Pearson's Chi-square goodness fit test. The generator numbers und...

To design a fully continuous wave-front distribution suitable for focused beam shaping by a deformable mirror, we modify the phase-retrieval algorithm by employing a uniformly distributed phase as a starting phase screen and spatial filtering for the near-field phase retrieved during the iteration process. A special phase unwrapping algorithm is not required to obtain a continuous phase distrib...

For a continuous-scale diagnostic test, the most commonly used summary index of the receiver operating characteristic curve (ROC) is the area under the curve (AUC) that measures the accuracy of the diagnostic test. In this article, we propose an empirical likelihood (EL) approach for the inference on the AUC. First we define an EL ratio for the AUC and show that its limiting distribution is a s...