Version 1
: Received: 29 August 2024 / Approved: 30 August 2024 / Online: 30 August 2024 (09:38:55 CEST)
How to cite:
Stojanović, V. S.; Jovanović, M.; Pažun, B.; Langović, Z. Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling. Preprints2024, 2024082209. https://doi.org/10.20944/preprints202408.2209.v1
Stojanović, V. S.; Jovanović, M.; Pažun, B.; Langović, Z. Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling. Preprints 2024, 2024082209. https://doi.org/10.20944/preprints202408.2209.v1
Stojanović, V. S.; Jovanović, M.; Pažun, B.; Langović, Z. Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling. Preprints2024, 2024082209. https://doi.org/10.20944/preprints202408.2209.v1
APA Style
Stojanović, V. S., Jovanović, M., Pažun, B., & Langović, Z. (2024). Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling. Preprints. https://doi.org/10.20944/preprints202408.2209.v1
Chicago/Turabian Style
Stojanović, V. S., Brankica Pažun and Zlatko Langović. 2024 "Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling" Preprints. https://doi.org/10.20944/preprints202408.2209.v1
Abstract
The manuscript deals with a new two-parameter unit stochastic distribution, obtained by transforming the Gumbel distribution, using generalized logistic mapping, into a unit interval. The distribution thus obtained is called the Gumbel–Logistic Unit (abbr. GLU) distribution, and its key stochastic properties have been investigated in detail. Among others, it is shown that the GLU distribution, unlike the Gumbel one which is always positively asymmetric, can take both asymmetric forms. Also, the procedure for estimating parameters based on quantiles, along with the asymptotic properties of the obtained estimators and the study of their numerical simulation, is presented. Finally, the application of the GLU distribution in modeling some real–world data related to telecommunications is considered.
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
