Hypothesis based reliability analysis

Estimating small failure probabilities of high-impact rare events on engineering systems is still a critical challenge in modern engineering and applied sciences.These probabilities are often expressed as high-dimensional integrals, making accurate estimation computationally demanding.However, in many practical applications, precise probability values are less important than determining whether they exceed a critical threshold.This study addresses this need by reformulating the reliability problem as a hypothesis-testing framework.By developing statistical methods for hypothesis-based reliability tests, this approach offers a computationally efficient alternative to traditional estimation methods.The proposed methodology has significant potential to streamline decision-making processes in reliability analysis.