On Statistical Independence and Density Independence

Milan Paštéka

doi:10.2478/tmmp-2025-0002

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On Statistical Independence and Density Independence

Tatra Mountains Mathematical Publications

Volume 89 (2025): Issue 1 (September 2025)

By: Milan Paštéka

Open Access

|Jun 2025

Abstract

In the first part we recall the notion of statistical independence. The second part is devoted to the definition of selective density and its connection with the distribution of sequences. Then we define the independence of sequences with respect to selective density. Finally, we prove that these two types of independence are equivalent.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2025-0002 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 207 - 214

Submitted on: Mar 11, 2025

Accepted on: Mar 12, 2025

Published on: Jun 24, 2025

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

statistical independence,

inependence,

asymptotic density,

density,

uniform distribution,

distribution function

Related subjects:

Mathematics,

General mathematics

© 2025 Milan Paštéka, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 89 (2025): Issue 1 (September 2025)