An improved extension of Xgamma distribution: Its properties, estimation and application on failure time data

• DOI: 10.1016/j.heliyon.2025.e41976
• Publication Date: 2025-01-16T00:28:11Z
• Authors: Abdullah M. Alomair; Ayesha Babar; Muhammad Ahsan-ul...; Saadia Tariq
• Keywords: Social sciences (General); H1-99; Q1-390; Science (General); Inference; Entropy; Xgamma distribution; Power transformation; Engineering data; Analysis; Research Article

A new, more flexible model, the power quasi-Xgamma (PQXg) distribution, is introduced by adding an extra shape parameter using transformation approach. The PQXg distribution due to its variable failure rate shapes. We derived various theoretical properties including moments and associated measures. Some reliability measurements include survival function, hazard rate, mean residual life, Rényi Tsallis entropy, stress-strength reliability. Five approaches are used for estimation: maximum likelihood, Anderson-Darling, Cramér-von Mises, ordinary, weighted least squares. Monte Carlo simulation determine effectiveness of these estimators different sample sizes. use investigated utilizing symmetrical asymmetric data sets from real-world fields. When compared other competing distributions considered, new performed better.