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On the statistical independence of nonlinear congruential pseudorandom numbers

On the statistical independence of nonlinear congruential pseudorandom numbers

Recently, several nonlinear congruential methods for generating uniform pseudorandom numbers have been proposed and analysed. In the present note, further statistical independence properties of a general class of nonlinear congruential pseudorandom number generators are established. The results that are obtained are essentially best possible in an asymptotic sense and show …