Some characterizations of the uniform distribution with applications to random number generation
Abstract
Let U and V be independent random variables with continuous density function on the interval (0, 1). We describe families of functions g for which uniformity of U and V is equivalent to uniformity of g(U, V) on (0, 1). These results are used to prescribe methods for improving the quality of pseudo-random number generators by making them closer in distribution to the U (0, 1) distribution. © 1992 Kluwer Academic Publishers.
Publication Title
Annals of the Institute of Statistical Mathematics
Recommended Citation
Deng, L., & George, E. (1992). Some characterizations of the uniform distribution with applications to random number generation. Annals of the Institute of Statistical Mathematics, 44 (2), 379-385. https://doi.org/10.1007/BF00058647
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