Modeling Carbon Fiber Failure Times Using the New Exponentiated Inverse Rayleigh (NEIR) Distribution

Abstract

In this paper, we propose and explore the New Exponentiated Inverse Rayleigh (NEIR) distribution. The NEIR distribution enhances modeling flexibility for right-skewed lifetime data. We derive its key statistical properties including the survival function, hazard function, quantile function, moments, moment generating function, characteristic function, mode and order statistics. A simulation algorithm is also described to access the performance of the estimates. The model parameters estimated using maximum likelihood estimation method and its practical application is discussed to highlight the model's flexibility and adaptability using a real dataset.