Topp-Leone Teissier Distribution-Neutrosophic Approach and Applications

Abstract

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 like- lihood and Bayesian procedures are used to estimate the model parame- ters. 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 er- ror. 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 dataset.