Work

A new bivariate DUS-Weibull distribution: Properties, inference and application in infections in kidney patients

Year: 2026

Type: article

Abstract: This paper discusses a new bivariate double uniform smoothing transformation (DUS)-Weibull distribution which has marginals are DUS-Weibull distribution. We use the Farlie-gumbel morgenstern copula to construct a new bivariate distribution. The main statistical properties of the new bivariate distribution are introduced. Two estimation methods are introduced to estimate the bivariate distribution parameters. Monte-Carlo simulation study is constructed to compare two estimation methods and study the behavior of the estimators. Finally, real data is used to show the validity of a new bivariate DUS-Weibull distribution.

Source: Journal of King Saud University - Science

DOI: 10.25259/jksus_813_2025

Authors: Faten S. Alamri, Marwa KH. Hassan, Muhammad Aslam

Institutions: Princess Nourah bint Abdulrahman University, Ain Shams University, King Abdulaziz University

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,600

Funder: Princess Nourah Bint Abdulrahman University