This paper targets to search so-called good generators by doing a brief survey over the
generators developed in the history of pseudo-random number generators (PRNGs), verify …

A comprehensive overview of Monte Carlo simulation that explores the latest topics,
techniques, and real-world applications More and more of today's numerical problems found …

Ship propulsion shafting is inevitably subject to various uncertainties during navigation.
Uncertain numerical models can reflect the dynamic behaviour of the shafting more …

We introduce TestU01, a software library implemented in the ANSI C language, and offering
a collection of utilities for the empirical statistical testing of uniform random number …

Quasi–Monte Carlo methods have become an increasingly popular alternative to Monte
Carlo methods over the last two decades. Their successful implementation on practical …

The fields of probability and statistics are built over the abstract concepts of probability space
and random variable. This has given rise to elegant and powerful mathematical theory, but …

In this paper we review some statistical tests included in the NIST SP 800-22 suite, which is
a collection of tests for the evaluation of both true-random (physical) and pseudorandom …

Random number generators were invented before there were symbols for writing numbers,
and long before mechanical and electronic computers. All major civilizations through the …

The requirements, design principles, and statistical testing approaches of uniform random
number generators for simulation are briefly surveyed. An object-oriented random number …

AES, the Advanced Encryption Standard, is one of the most important algorithms in modern
cryptography. Certain randomness properties of AES are of vital importance for its security …