Work

DUS Topp–Leone-G Family of Distributions: Baseline Extension, Properties, Estimation, Simulation and Useful Applications

Year: 2024

Type: article

Abstract: This study introduces the DUS Topp-Leone family of distributions, a novel extension of the Topp-Leone distribution enhanced by the DUS transformer. We derive the cumulative distribution function (CDF) and probability density function (PDF), demonstrating the distribution's flexibility in modeling various lifetime phenomena. The DUS-TL exponential distribution was studied as a sub-model, with analytical and graphical evidence revealing that it exhibits a unique unimodal shape, along with fat-tail characteristics, making it suitable for time-to-event data analysis. We evaluate parameter estimation methods, revealing that non-Bayesian approaches, particularly Maximum Likelihood and Least Squares, outperform Bayesian techniques in terms of bias and root mean square error. Additionally, the distribution effectively models datasets with varying skewness and kurtosis values, as illustrated by its application to total factor productivity data across African countries and the mortality rate of people who injected drugs. Overall, the DUS Topp-Leone family represents a significant advancement in statistical modeling, offering robust tools for researchers in diverse fields.

Source: Entropy

DOI: 10.3390/e26110973

Authors: Divine-Favour N. Ekemezie, Kizito E. Anyiam, Mohammed Kayid, Oluwafemi Samson Balogun, Okechukwu J. Obulezi

Institutions: Nnamdi Azikiwe University, Federal University of Technology Owerri, King Saud University, University of Eastern Finland

Language: English

Topic: Statistical Distribution Estimation and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: King Saud University