In this paper, non-parametric inference is considered for $k$-component coherent systems, when the system lifetime data is progressively type-II censored. In these coherent systems, it is assumed that the system structure and system signature are known. Based on the observed progressively type-II censored, non-parametric confidence intervals are calculated for the quantiles of component lifetime distribution. Also, tolerance limits for component lifetime distribution are obtained. Non-parametric confidence intervals for quantiles and tolerance limits are obtained based on two methods, distribution function method and W mixed matrix method. Two numerical example is used to illustrate the methodologies developed in this paper.
fallah A. Nonparametric Inference for Component Lifetime Distribution of Coherent Systems Based on Progressively Censored. JSS 2024; 18 (1) URL: http://jss.irstat.ir/article-1-847-en.html