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The serial test for pseudo-random numbers generated by the linear congruential method

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Summary

We consider the linear congruential method for pseudo-random number generation and establish effective criteria for the choice of parameters in this method which guarantee statistical almost-independence of successive pseudo-random numbers. Applications to numerical integration are also discussed.

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Niederreiter, H. The serial test for pseudo-random numbers generated by the linear congruential method. Numer. Math. 46, 51–68 (1985). https://doi.org/10.1007/BF01400255

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