In this paper, it deals with the quadratic congruential generator with the modulus $m=2^p$ for generating uniform random numbers. Statistical independence property is studied on the discrepancy of successive pairs $(x_{n},x_{n+1})$ in the generated numbers, and an upper bound for the discrepancy is established, which is improved in comparison with the upper bound in [11].
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机译：在本文中，它处理模数为$ m = 2 ^ p $的二次同余生成器，以生成统一的随机数。研究了生成数中连续对$（x_ {n}，x_ {n + 1}）$的差异的统计独立性，并确定了该差异的上限，与上限相比有改进在[11]中。
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