The paper "Seismic safety assessment with non-Gaussian random processes for train-bridge coupled systems" by Zhao Han et al. addresses the critical issue of seismic safety in high-speed railway (HSR) networks, which are vulnerable to unpredictable seismic events. The authors focus on train-bridge coupled (TBC) systems, primarily composed of simply supported beam bridges, and emphasize the need for efficient methods to analyze their complex responses to earthquakes. Traditional methods like the Monte Carlo method (MCM) are found to be inefficient for such systems due to their high computational demands. Instead, the new point estimate method (NPEM) combined with moment expansion approximation (MEA) is proposed and validated using the MCM. The NPEM-MEA method is shown to be accurate and efficient, with a recommended truncation order of four to six. The study also investigates the impacts of seismic magnitude and epicentral distance on the TBC system's dynamic responses, contributing to the development of standards for seismic safety in these systems. The methodology is organized into sections covering random variables, system modeling, verification of the NPEM-MEA, and the influence of random parameters.The paper "Seismic safety assessment with non-Gaussian random processes for train-bridge coupled systems" by Zhao Han et al. addresses the critical issue of seismic safety in high-speed railway (HSR) networks, which are vulnerable to unpredictable seismic events. The authors focus on train-bridge coupled (TBC) systems, primarily composed of simply supported beam bridges, and emphasize the need for efficient methods to analyze their complex responses to earthquakes. Traditional methods like the Monte Carlo method (MCM) are found to be inefficient for such systems due to their high computational demands. Instead, the new point estimate method (NPEM) combined with moment expansion approximation (MEA) is proposed and validated using the MCM. The NPEM-MEA method is shown to be accurate and efficient, with a recommended truncation order of four to six. The study also investigates the impacts of seismic magnitude and epicentral distance on the TBC system's dynamic responses, contributing to the development of standards for seismic safety in these systems. The methodology is organized into sections covering random variables, system modeling, verification of the NPEM-MEA, and the influence of random parameters.