研究伪随机数序列独立性的均匀偏度法

§1 引言 由具有在0,1]上均匀分布的总体中产生的简单子样称为随机数序列,其中的每一样本称为随机数。所谓伪随机数序列,一般是指用数学递推公式所产生的随机数序列。如最常见的乘同余方法,它所产生的伪随机数序列就是对给定的正整数M和小于M的任意正整数初值β_1,用如下递推公式确定的:

An Uniform Departureness Method for Studying Independence of Pseudorandom Sequence

In this paper, an uniform departureness method for studying the independence of the pseudorandom sequence is developed. This method can mark the independence of the pseudorandom sequence better than existing serial correlation method, pairs distribution method, triplets permutation method, and independent departureness method. The more impotant result is that the uniform departureness method is in fact a mark method of integrating with aforesaid all other methods. T-he three-dimensional uniform departureness of the pseudorandom sequence generated by the multiplicative congruential method is specifically given.