Statistical independence of nonlinear congruential pseudorandom numbers |
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Authors: | Prof Dr Harald Niederreiter |
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Institution: | (1) Kommission für Mathematik, Österreichische Akademie der Wissenschaften, Dr.-Ignaz-Seipel-Platz 2, A-1010 Wien, Austria |
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Abstract: | Statistical independence properties of recently proposed nonlinear congruential pseudorandom number generators are analyzed by means of the serial test. The results that are established are essentially best possible. The method relies heavily on bounds for exponential sums. |
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