The Exponential-X Power Function (NEXPF) Distribution and its Applications to Modelling Reliability

Abstract

When lifetime models have non-monotone hazard functions, the best fitting leads to accurate estimates and predictions in reliability studies; This is the purpose of the new Exponential-X Power function (NEXPF) distribution. This belongs to the new exponential-X (NEX) family proposed to be a better fitting model for some reliability models; it beats competitive distributions like the Power function distribution. Therefore, we concentrated our efforts on introducing a new model. Our goal is to study the properties of its statistical measures throughout this research of the NEXPF distribution, the reliability function estimation method MLE and MPS; The numerical simulation is detailed to evaluate the proposed estimation methods.