Creating and detecting specious randomness.

Autor: Almlöf, Jonas, Vall Llosera, Gemma, Arvidsson, Elisabet, Björk, Gunnar
Předmět:
Zdroj: EPJ Quantum Technology; 1/30/2023, Vol. 10 Issue 1, p1-11, 11p
Abstrakt: We present a new test of non-randomness that tests both the lower and the upper critical limit of a χ 2 -statistic. While checking the upper critical value has been employed by other tests, we argue that also the lower critical value should be examined for non-randomness. To this end, we prepare a binary sequence where all possible bit strings of a certain length occurs the same number of times and demonstrate that such sequences pass a well-known suite of tests for non-randomness. We show that such sequences can be compressed, and therefore are somewhat predictable and thus not fully random. The presented test can detect such non-randomness, and its novelty rests on analysing fixed-length bit string frequencies that lie closer to the a priori probabilities than could be expected by chance alone. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index