Abstract
Classical floating point random numbers fail simple tests when considered as rational numbers.
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References
Knuth D E (1998) The art of computer programming. Vol. 2: Seminumerical algorithms. third edition, Addison-Wesley, Reading, Mass.
L’Ecuyer P (1994) Uniform random number generation. Annals of Operations Research 53:77–120
L’Ecuyer P (1998) Random number generation. In: Banks J (ed) Handbook on Simulation. John Wiley, Hoboken, NJ.
L’Ecuyer P (2004) Random number generation. In: Gentle J E, Härdle W, Mori Y, (eds) Handbook of computational statistics. Concepts and methods. Springer, Berlin Heidelberg New York
L’Ecuyer P (2001) Software for uniform random number generation: Distinguishing the good and the bad. In: Proceedings of the 2001 Winter Simulation Conference. Pistacaway NJ., IEEE Press
L’Ecuyer P, Hellekalek P (1998) Random number generators: Selection criteria and testing. In: Hellekalek P (ed) Random and quasi-random point sets. Springer Lecture Notes in Statistics 138. Springer, New York
L’Ecuyer P, Simard R (2001) On the performance of birthday spacings tests with certain families of random number generators. Mathematics and Computers in Simulation 55(1–3): 131–137
L’Ecuyer P, Simard R, Wegenkittl S (2002) Sparse serial tests of uniformity for random number generators. SIAM Journal on Scientific Computing 24(2): 652–668
Maple 10 (2005) Maplesoft, a division of Waterloo Maple Inc., www.maplesoft.com
MuPAD Pro 3.1 (2005) SciFace Software GmbH& Co.KG, www.sciface.com
Morgenstern T (2006) Uniform Random Binary Floating Point Number Generation. In: Proceedings of the 2. Wernigeröder Automatisierungs-und Informatiktage. Hochschule Harz, Wernigerode
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Morgenstern, T. (2007). Uniform Random Rational Number Generation. In: Waldmann, KH., Stocker, U.M. (eds) Operations Research Proceedings 2006. Operations Research Proceedings, vol 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69995-8_90
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DOI: https://doi.org/10.1007/978-3-540-69995-8_90
Publisher Name: Springer, Berlin, Heidelberg
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