The current remaining useful life (RUL) prognostic approaches for stochastic degradation device subject to imperfect preventive maintenance suffer from challenge of low accuracy.A new degradation modeling and RUL prognostic approach are proposed considering the effect of imperfect preventive maintenance.First

based on the theory of Wiener process

the stochastic degradation process with the imperfect maintenance is modeled as multi-stage Wiener process.Second

starting with the inverse Gaussian distributed stage time

the lifetime distribution is derived by the convolution property of the inverse Gaussian distribution.Furthermore

the analytical solution of the RUL distribution can be calculated for the stochastic degradation device subject to imperfect preventive maintenance in future.Finally

for verifying the presented approach

a case study for gyros is provided

and the results indicate that the presented approach of this paper can improve the modeling fitting and the accuracy of the estimated RUL.