Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling DOI Open Access
Vladica Stojanović,

Mihailo Jovanović,

Brankica Pažun

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(11), P. 1513 - 1513

Published: Nov. 11, 2024

The manuscript deals with a new unit distribution that depends on two positive parameters. itself was obtained from the Gumbel distribution, i.e., by its transformation, using generalized logistic mapping, into interval. In this way, so-called Gumbel-logistic (abbr. GLU) is obtained, and key properties, such as cumulative function, modality, hazard quantile moment-based characteristics, Bayesian inferences entropy, have been investigated in detail. Among others, it shown GLU unlike one which always positively asymmetric, can take both asymmetric forms. An estimation of parameters based quantiles, also performed, together asymptotic properties estimates thus their numerical simulation. Finally, has applied modeling empirical distributions some real-world data related to telecommunications.

Language: Английский

Cauchy–Logistic Unit Distribution: Properties and Application in Modeling Data Extremes DOI Creative Commons
Vladica Stojanović, Tanja Jovanović,

Radica Bojičić

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(2), P. 255 - 255

Published: Jan. 14, 2025

This manuscript deals with a novel two-parameter stochastic distribution, obtained by transforming the Cauchy using generalized logistic mapping, into unit interval. In this way, according to well-known properties of random variable significantly accentuated values at ends interval is obtained. Therefore, proposed named Cauchy–logistic represents model that may be suitable for modeling phenomena and processes emphasized extreme values. Key CLU distribution are examined, such as moments, entropy, modality, symmetry conditions. addition, quantile-based parameter estimation procedure, an asymptotic analysis thus estimators, their Monte Carlo simulation study conducted. Finally, application in some real-world data provided.

Language: Английский

Citations

1

Laplace-Logistic Unit Distribution with Application in Dynamic and Regression Analysis DOI Open Access
Vladica Stojanović,

Tanja Jovanović Spasojević,

Mihailo Jovanović

et al.

Published: June 5, 2024

This manuscript presents a new two-parameter unit stochastic distribution, obtained by transforming the Laplace using generalized logistic map, into interval. The distribution thus is named Laplace-logistic (abbreviated LLU) and its basic properties are examined in detail. Also, procedure for estimating parameters based on quantiles provided, along with asymptotic of estimates appropriate numerical simulation study. Finally, application LLU dynamic regression analysis real-world data accentuated "peaks" "fat" tails also discussed.

Language: Английский

Citations

4

A Flexible Unit Distribution Based on a Half-Logistic Map with Applications in Stochastic Data Modeling DOI Open Access
Vladica Stojanović, Hassan S. Bakouch, Gadir Alomair

et al.

Symmetry, Journal Year: 2025, Volume and Issue: 17(2), P. 278 - 278

Published: Feb. 11, 2025

In this manuscript, a new two-parameter stochastic distribution is proposed and obtained by continuous half-logistic transformation of the quasi-Lindley (QL) to unit interval. The resulting distribution, named (QHU) examined in terms its key properties, such as asymmetry conditions, shape modality, moments, etc. addition, dominance with respect parameters considered, it shown that QHU contrast QL always positively asymmetric, can have both asymmetric forms. are estimated maximum likelihood (ML) method, asymptotic properties thusly estimators examined. Finally, an application modeling some real-world phenomena also presented.

Language: Английский

Citations

0

Gumbel–Logistic Unit Distribution with Application in Telecommunications Data Modeling DOI Open Access
Vladica Stojanović,

Mihailo Jovanović,

Brankica Pažun

et al.

Symmetry, Journal Year: 2024, Volume and Issue: 16(11), P. 1513 - 1513

Published: Nov. 11, 2024

The manuscript deals with a new unit distribution that depends on two positive parameters. itself was obtained from the Gumbel distribution, i.e., by its transformation, using generalized logistic mapping, into interval. In this way, so-called Gumbel-logistic (abbr. GLU) is obtained, and key properties, such as cumulative function, modality, hazard quantile moment-based characteristics, Bayesian inferences entropy, have been investigated in detail. Among others, it shown GLU unlike one which always positively asymmetric, can take both asymmetric forms. An estimation of parameters based quantiles, also performed, together asymptotic properties estimates thus their numerical simulation. Finally, has applied modeling empirical distributions some real-world data related to telecommunications.

Language: Английский

Citations

0