Degradation Modeling of Digital Multimeter with Multiple-performance Indicators in Multi-stress Dynamic Marine Environment Based on Vine Copula

A digital multimeter working in the marine environment suffers from complex environmental stresses of time-varying temperature, relative humidity and salinity. It is used to measure five indicators of Resistance (R), Direct Current Voltage (DCV), Alternating Current Voltage (ACV), Direct Current (DC) and Alternating Current (AC), and there is an interactive relationship between the five indicators due to the complex structure among the components of multimeter.Considering the measurement errors data of five indicators of digital multimeter as the degradation signal, this paper establishes a degradation model to predict the reliability of each single indicator considering the time-varying environmental stresses based on Brownian motion. The typical D-vine copula is utilized to describe the correlations of multiple performance indicators, the parameters of the optimal D-vine model can be estimated by maximum likelihood estimation. In this paper, lifetime of the multimeter working in marine environment with multiple-performance indicators can be predicted accurately. A case study is presented as an application of this method.