A new framework for a family of LTED with a free baseline distribution provides efficiency to manage complex data. The induced model outperforms existing distribution models by better capturing data features such as heavy tails, skewness, and multimodality. The development is supported by a rigorous theoretical framework that highlights essential statistical properties and provides robust parameter estimation. Empirical evidence from real data, supported by solid statistical goodness-of-fit tests, validates the practical advantages of the model. The study addresses methodological challenges and lays the groundwork for future research, offering improved statistical analysis and application across various fields.
Fadal Abdullah Ali Aldhufairi (Sat,) studied this question.