Degree of randomness: numerical experiments for astrophysical signals

TL;DR

This paper explores a Kolmogorov-based method to analyze the degree of randomness in astrophysical signals, aiding in distinguishing different components like cosmic microwave background radiation.

Contribution

It introduces a numerical experiment approach utilizing Kolmogorov distribution to assess the randomness degree of astrophysical signals.

Findings

Identification of a critical ratio value for stochastic to regular components

Demonstration of the method's applicability to observational datasets

Revealing basic features of signal behavior based on randomness degree

Abstract

Astrophysical and cosmological signals such as the cosmic microwave background radiation, as observed, typically contain contributions of different components, and their statistical properties can be used to distinguish one from the other. A method developed originally by Kolmogorov is involved for the study of astrophysical signals of randomness of various degrees. Numerical performed experiments based on the universality of Kolmogorov distribution and using a single scaling of the ratio of stochastic to regular components, reveal basic features in the behavior of generated signals also in terms of a critical value for that ratio, thus enable the application of this technique for various observational datasets