On statistical independence and density independence

TL;DR

This paper investigates the concept of statistical independence in real sequences, focusing on its characterization through independence relative to specific classes of density functions.

Contribution

It introduces a new perspective on statistical independence by examining its relation to density-based independence for real sequences.

Findings

Provides a theoretical framework for density-based independence

Characterizes conditions under which sequences are independent with respect to densities

Enhances understanding of independence in the context of real sequences

Abstract

The object of observation in present paper is statistical independence of real sequences and its description as independence with re spect to certain class of densities.