Statistical tests for a sequence of random numbers by using the distribution function of random distance in three dimensions

2014/02/21 by Sergii Koliada, Koliada, Sergii
Decision Sciences · Mathematics · #Applications (stat.AP) #FOS: Computer and information sciences #Probability and Risk Models #Statistical Distribution Estimation and Applications #Statistical Methods and Inference

paper · pdf · doi:10.48550/arxiv.1402.5383

openalex publication_date 2014/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The distribution function of a random distance in three dimensions is given and some new three-dimensional d2-tests of randomness are suggested. We show that our test statistics are not correlated with the usual test statistics and are therefore an other promising way to determine the quality of generated random numbers.

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