Analysis of the Weibull Estimation for Competing Failure Modes

Abstract

In this paper, the results of the parameter study using a simulation model for competing failure modes are discussed. For the investigation of the effect of one failure mode on the estimation of a second failure mode a model for competing failure modes has been developed. This model creates the possibility to define constant failure mode ratios between the two failure modes for the Monte Carlo simulation. Crucial part of this paper is the effect of the failure mode ratio r on the estimation of the shape parameter b and the characteristic lifetime T. The results of these estimations are compared with the results of estimating failure mode A as a complete sample without consideration of censored data. Reason for this is to quantify the general effect on the estimation of taking competing failure modes as censored data into account. Further, the influence of the sample size in general is analyzed. Based on this parameter study and the results discussion, a recommendation for the analysis of systems with competing failure modes can be made.