Comparative Analysis of Statistical Test based on Data Compression Methods and Standard Tests for Assessing Randomness of Random Number Generators

This paper presents a detailed comparative analysis of statistical tests utilizing both modern data compressors and standard statistical methods for assessing the randomness of Random number generators (RNG). Our study aims to thoroughly evaluate the efficiency and performance of these tests in determining the quality of RNG output sequences.Data compression techniques have long been recognized as effective statistical tests, with some being asymptotically optimal. We compare the effectiveness of these data compressor-based tests with traditional statistical tests in assessing the randomness properties of RNG.Our results demonstrate that the efficiency of data compressor tests and standard statistical tests is closely similar. Through rigorous experimentation and analysis, we show that both approaches yield comparable results in evaluating the randomness of RNG output sequences.