Open Access

ARTICLE

A New Extension Odd Generalized Exponential Model Using Type-II Progressive Censoring and Its Applications in Engineering and Medicine

Zohra A. Esaadi¹, Rabab S. Gomaa¹, Beih S. El-Desouky¹, Ehab M. Almetwally², Alia M. Magar^1,*

1 Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt
2 Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia

* Corresponding Author: Alia M. Magar. Email:

(This article belongs to the Special Issue: Frontiers in Parametric Survival Models: Incorporating Trigonometric Baseline Distributions, Machine Learning, and Beyond)

Computer Modeling in Engineering & Sciences 2025, 144(2), 2063-2097. https://doi.org/10.32604/cmes.2025.065604

Received 17 March 2025; Accepted 15 July 2025; Issue published 31 August 2025

Abstract

A new extended distribution called the Odd Exponential Generalized Exponential-Exponential distribution is proposed based on generalization of the odd generalized exponential family (OEGE-E). The statistical properties of the proposed distribution are derived. The study evaluates the accuracy of six estimation methods under complete samples. Estimation techniques include maximum likelihood, ordinary least squares, weighted least squares, maximum product of spacing, Cramer von Mises, and Anderson-Darling methods. Two methods of estimation for the involved parameters are considered based on progressively type II censored data (PTIIC). These methods are maximum likelihood and maximum product of spacing. The proposed distribution’s effectiveness was evaluated using different data sets from various fields. The proposed distribution provides a better fit for these datasets than existing probability distributions.

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Keywords

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