2014/10/07 by Matthew Pancia, Pancia, Matthew
Computer Science · Mathematics · #03D32 #03D99 #Bayesian Methods and Mixture Models #Benford’s Law and Fraud Detection #Chaos-based Image/Signal Encryption #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.1410.1859
openalex publication_date 2014/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the statistical properties of random numbers under the Martin-Löf definition of randomness, proving that random numbers obey analogues of Strong Law of Large Numbers, the Law of the Iterated Logarithm, and that they are normal. We also show that weakly (1-)random numbers do not share these properties.