On GAYUF Transformed Exponential Distribution and its Properties

In statistical literature, various methods exist for developing new distributions. This paper introduces a new distribution derived using the GAYUF transformation. We explore several structural properties of this distribution, including moments, moment generating function, mean, variance, hazard rate and its shape, survival function, and more. The parameters of the newly developed distribution are estimated using the maximum likelihood estimation (MLE) method and validated through simulation studies. Additionally, we apply the distribution to two real-world datasets to demonstrate its practical applications. The findings suggest that the new distribution is a robust tool for modelling and analysing data in engineering and other fields, providing enhanced fit and reliability for parameter estimation.