First-passage probability analysis of Wiener process using different methods and its applications in the evaluation of structural durability degradation

The first-passage probabilities in stochastic processes are important for the evaluation of structural reliability. In this work, Wiener process’s first-passage probability was analysed using different methods. First, the Poisson process method was used to analyse the first-passage probability of the Wiener process, and it was found this method cannot calculate the first-passage probability of the Wiener process. Then, the symmetry and Markov...