| Citation: | LIU Xinling, TANG Jiayin, WANG Jinbo, et al. Nonparametric Nelson-Aalen reliability evaluation model based on random censored data[J]. Journal of Aerospace Power, 2025, 40（1）：20220534 doi: 10.13224/j.cnki.jasp.20220534
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For the random censored data in the reliability engineering test, a nonparametric reliability evaluation of the product was realized based on the Nelson-Aalen (NA) estimation theory from the perspective of the analysis of cumulative failure rate function. The nonparametric maximum likelihood estimation of the cumulative failure rate in continuous and discrete forms was given by using the obtained discrete samples, and the NA estimation form of the cumulative failure rate function under the random censored samples was derived. A completely nonparametric confidence evaluation model was derived from the reliability by NA estimation. A generalized weighted moving average model was constructed to estimate the reliability after the maximum observation time of the sample. Finally, example analysis showed that when the life distribution information was completely unknown, the NA model realized the effective confidence evaluation of product reliability based on random censored life data, and the estimated relative bias rate was controlled below
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