关键词: 可靠寿命, 排序集抽样, 最优挑选设计, 非参数估计

Abstract: For the estimation problem of product reliable life, the nonparametric estimator based on ranked set select sample is constructed. The estimator is shown to have strong consistency and asymptotic normality. For different types of reliable life, their optimal select sampling designs are given to maximize the estimation efficiency. Finally, the study results of asymptotic relative efficiency and practical application show that the optimal select sampling is more efficient than the simple random sampling.

Key words: reliable life, ranked set sampling, optimal select design, nonparametric estimation