A new extension of the exponentiated generalized-G family of distributions

This study develops a novel lifespan known as the Type Two Half Logistic Topp-Leone exponentiated generalized-G distributions. The motivation behind generating the new probability distributions lies in the pursuit of overcoming limitations of other existing distributions. The proposed model is more flexible and better captures the complexities of real-world data. The recommended distribution's moments, hazard functions, and several other statistical characteristics are identified. The maximum likelihood estimators of the model parameters are discussed. Three different special models are provided. We demonstrate the potentiality of the new distribution using simulation data and two actual sets of data.