In order to solve the reliability evaluation under the competitive failure of multiple performance aero-engines

multiple performance data was fused into an overall degradation data by the matrix similarity

and a nonlinear Gamma process with random effects was used to fit the overall degradation data to obtain the reliability function under multivariate degradation.Assume that multiple performance of the aero-engines have sudden failures

the optimal sudden failure distribution was selected by Anderson-Darling(AD)distribution test

the reliability function under sudden failures was obtained by the mixed distribution.Assume that degradation failure and sudden failure were independent

the reliability evaluation of the multiple performance aeroengines under competitive failure was realized.Finally

the effectiveness and accuracy of the model were verified by the case analysis.