外見周期法による一様乱数の検定

概要

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Stochastic theory of the discrete random numbers is applied to the test of uniform random numbers. A sequence of real numbers, which is of pseudo random numbers, is transformed into the auxiliary sequence of discrete integer-valued numbers from 1 to r．The test of equiprobability and of non-regularity is attained by counting the frequency of gross period L for the auxiliary sequence and by obtaining the mean gross period <L>. These values are compared with the theoretical values which can be exactly obtained in the infinite sequences. We should design the auxiliary sequence with various values of r for high accurate test. We can largely examine the equiprobability and nonregulariy of the whole sequence through the test of the mean gross period and check the behaviors of the time-sequence through the test of the frequency of gross period. Twelve examples of pseudo random numbers are tested by the present method.
津山工業高等専門学校の論文
1999-08-31