The nonparametric estimation method of reliability evaluation was compared and analyzed for the problem of small sample and randomly censoring in the field data of aero-engine. Monte Carlo method was applied and a simulation method was designed to compare the reliability evaluation method within competitive fault model. Through the example of trebling Weilbull distribution

random censoring observations of aero-engine were simulated through this method by comparing four nonparametric estimation methods of reliability evaluation. An example of engineering application was used to illustrate the validity of the method. Results show that the excellence order of nonparametric estimation method is Kaplan-Meier estimation

mean rank order method

Herd-Johnson estimation and Nelson-Aalen estimation under the trebling Weilbull competitive fault model.