Topp-Leone Teissier Distribution: Neutrosophic Approach and Applications

In this paper, we introduce a new two-parameter extension of the Teisisier distribution using the Topp-Leone distribution as a generator, namely Topp-Leone Teissier distribution. The new model exhibits increasing, decreasing and bathtub shaped hazard rate functions. Several properties of the model are derived utilizing the Lambert W, the generalized integro-exponential and the incomplete generalized integro-exponential functions. Maximum likelihood and Bayesian procedures are used to estimate the model parameters. Lindley's approximation under squared error loss function is utilized for Bayesian computations. Moreover, a simulation study is carried out to analyze the performance of these estimators on the basis of mean squared error. The applicability of the proposed model is evaluated using two real data sets. Also, we highlight the neutrosophic approach on Topp-Leone Teissier distribution as a pathway to address issues related to indeterminate, vague, or uncertain data set. This enhancement integrates neutrosophic logic into the model parameters, providing a robust framework for addressing the inherent challenges of ambiguous data and thereby broadening the model's applicability to real-world scenarios involving incomplete or imprecise information.