In the present article a method based on Monte Carlo Simulation (MCS) is developed with which any spectrum extrapolation method can be statistically evaluated. Thereby, the duration of service life spectrum and the extrapolation factor can be specified arbitrarily. In addition to the evaluation of extrapolation methods, the simulation model allows to calculate statistically based safety factors for load assumption. The use of general, mostly conservative factors can thus be omitted. For the extrapolation of load spectra, a procedure with kernel density estimators using an adaptive bandwidth is developed. The new Kernel Density Estimation (KDE) method contains three parameters for controlling the adaptive bandwidth which are optimized using the simulation model. During optimization, mathematically describable spectra are used, which are completely described by the maximum amplitude of the spectrum, the spectrum range and the spectrum shape parameter.

在本文中，开发了一种基于蒙特卡洛模拟（MCS）的方法，利用该方法可以对任何频谱外推方法进行统计评估。从而，使用寿命谱的持续时间和外推因子可以被任意指定。除了评估外推方法外，仿真模型还可以计算基于统计的安全性假设载荷。因此，可以省去一般的，主要是保守的因素。为了外推载荷谱，开发了一种使用自适应带宽的核密度估计器程序。新的内核密度估计（KDE）方法包含三个用于控制自适应带宽的参数，这些参数已使用仿真模型进行了优化。在优化过程中，使用了可数学描述的光谱，