Theoretical and empirical convergence results for additive congruential random number generators
An additive congruential random number (ACORN) generator was defined by \textit{R.~S.~Wikramaratna} [J. Comput. Phys. 83, No.~1, 16--31 (1989; Zbl 0677.65003)]. The ACORN generators were examined by the author later, for example, see \textit{R.~S.~Wikramaratna} [J. Comput. Appl. Math. 216, No.~2, 371--387 (2008; Zbl 1145.65002)]. This paper is a continuation of the ACORN generators analysis, both theoretical and empirical. From the author's abstract: The results demonstrate that the ACORN generators are a reliable source of uniformly distributed pseudo-random numbers, and that in practice (as suggested by the theoretical convergence results) the quality of the ACORN sequences increases with increasing modulus and order.
additive congruential random number (ACORN) generator
scientific article; zbMATH DE number 5669155