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，它处理二次总体增长发电机，模数为$ m = 2 ^ p $，用于生成均匀的随机数。 研究了统计独立性，在生成的数量中的连续对$（X_ {n}，x_ {n + 1}）的差异上进行了研究，并且建立了差异的上限，与上限相比，改进了 在[11]中。
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