An Investigation into the Exponential T-X Family Distributions to Simulation study

In this article, we introduce the T-X exponential (ETX) group of distributions. An updated expansion of the Frechet model is presented using the proposed methodology. The suggested technique for modeling heavy-tailed data is highly flexible. Several mathematical techniques are obtained, including maximum likelihood, least squares, and weighted least squares. The model's parameters are estimated. To determine how well the maximum likelihood estimators perform. A Monte Carlo simulation-based investigation is carried out. Finally, A simulation study was conducted to compare the estimation methods for the proposed model.