The Exponentiated Normal Regression Model with Application
Abstract
Abstract This paper introduces a novel regression model based on the Exponentiated Normal (Exp-N) distribution and compares its performance with traditional Normal regression. Using the maximum likelihood method, parameters for both the regression structure and the underlying distributions were estimated. The Exp-N regression model was thoroughly investigated, with several new statistical properties derived and validated. Applied to a real-world dataset of testosterone hormone levels, the model demonstrated superior goodness-of-fit over the conventional Normal regression, offering a more flexible and accurate framework for data analysis in medical and biological research.
Fields of Study & Subjects
Advanced Statistical Methods and Models
Data Analysis with R
Statistical Methods and Bayesian Inference
Publication details
- Journal / source
- Journal of Statistical Theory and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 25
- Issue
- 1
- Publication date
- 18 February 2026
- Language
- EN