Work

New Generalized and Dual Generalized Order Statistics based Transmuted Log-Logistic Distributions

Year: 2026

Type: article

Abstract: This paper introduces two extensions of the log-logistic distribution, namely the generalized order statistics transmuted log-logistic ( GOSTLL ) and the dual generalized order statistics transmuted log-logistic ( DGOSTLL ) distributions. These models are constructed based on the generalized and dual generalized order statistics based transmuted families of distributions. Some important statistical properties including reliability measures, hazard rate functions, entropies, etc. are studied. The maximum likelihood estimation of the parameters is presented for both of the new distributions. The usefulness of the proposed distributions is demonstrated through real data applications.

Source: Journal of Statistical Theory and Applications

DOI: 10.1007/s44199-025-00152-9

Authors: Manal Alharbi, Abdullah Almarashi, Muhammad Qaiser Shahbaz

Institutions: Qassim University, King Abdulaziz University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,490

OpenAlex ID: W7119161718