Work

A Novel Adaptable Weibull Distribution and Its Applications

Year: 2025

Type: article

Abstract: This work proposes a novel extension for a new extended Weibull distribution. Some statistical properties of the proposed distribution are studied including quantile, moments, skewness, and kurtosis. The hazard rate function of the new distribution has certain elastic qualities, allowing it to take increasing, upside-down bathtub, and modified upside-down bathtub shapes commonly observed in medical contexts. Different methods of estimation are studied using complete data. Two real data sets from the medical field are analyzed to demonstrate that the proposed model has adaptability in practice. In comparison to some well-known distributions, the suggested distribution fits the tested data better based on both parametric and non-parametric statistical criteria. A simulation study is presented to compare the obtained estimates based on mean square error and average absolute bias.

Source: Axioms

DOI: 10.3390/axioms14070490

Authors: Asmaa S. Al-Moisheer, Khalaf S. Sultan, Hossam M. M. Radwan

Institutions: Imam Mohammad ibn Saud Islamic University, Al-Azhar University, Minia 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: $2,896

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University