On the two-dimensional structure of the sequence of random numbers generated by multiplicative congruential generators 乘同余伪随机数序列的二维结构分析
For multiplicative linear congruential generator, the rapid and portable algorithm implementation is given in detail. And the C++ source programs are given to calculate the product module. 最后针对乘同余发生器的特点,设计了乘同余发生器的快速算法,并给出了C++实现源程序。
Interval prediction of pseudo-random sequences generated by multiplicative congruential method 基于乘同余法产生的伪随机序列的区间预测
A multiplicative congruential method uses lengthening and folding operations to generate pseudo random sequences; 乘同余法是利用伸长与折叠操作来产生伪随机序列。
Computer simulation for some groups of pseudo random sequences generated by a multiplicative congruential method show that this method can predict the pseudo random sequences; furthermore, predictive performance is still very good above some signal noise ratio level. 对几组乘同余法产生的伪随机序列实验结果表明,该方法能有效地预测此类伪随机序列,且在一定的信噪比上,预测性能仍然很好。
Probability Distribution and Rapid Algorithms of Multiplicative Linear Congruential Generator 乘同余发生器的概率分布与快速算法
The new algorithm is obtained by improving the multiplicative congruential and the mixed congruential methods which are in common use now. 这种新算法是在现有的乘同余法和混合同余法等常用算法的基础上改进而来。