학술논문

A novel extension of half-logistic distribution with statistical inference, estimation and applications
Document Type
article
Source
Scientific Reports, Vol 14, Iss 1, Pp 1-17 (2024)
Subject
Odd Frechet-G family
Half logistic distribution
Quantile function
Statistical properties
Monte Carlo simulation
Estimation methods
Medicine
Science
Language
English
ISSN
2045-2322
Abstract
Abstract In the present study, we develop and investigate the odd Frechet Half-Logistic (OFHL) distribution that was developed by incorporating the half-logistic and odd Frechet-G family. The OFHL model has very adaptable probability functions: decreasing, increasing, bathtub and inverted U shapes are shown for the hazard rate functions, illustrating the model’s capacity for flexibility. A comprehensive account of the mathematical and statistical properties of the proposed model is presented. In estimation viewpoint, six distinct estimation methodologies are used to estimate the unknown parameters of the OFHL model. Furthermore, an extensive Monte Carlo simulation analysis is used to evaluate the effectiveness of these estimators. Finally, two applications to real data are used to demonstrate the versatility of the suggested method, and the comparison is made with the half-logistic and some of its well-known extensions. The actual implementation shows that the suggested model performs better than competing models.