Clarifying and quantifying the geometric correlation forprobability distributions of inter-sensor monitoring data: Afunctional data analytic methodology

Abstract: In structural health monitoring (SHM), revealing the underlying correlations of monitoring data is of considerable significance, both theoretically and practically. In contrast to the traditional correlation analysis for numerical data, this study seeks to analyse the correlation of probability distributions of inter-sensor monitoring data. Due to induced by some commonly shared random excitations, many structural responses measured at different locations are usually correlated in dist