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引用次数: 0
摘要
本文通过研究混合剔除方案可能产生的数据情况,建立了(渐进)混合剔除方案的结构特性。结果表明,混合剔除随机变量的分布可以立即从第一类和第二类剔除数据的情况中推导出来。此外,还可以直接得到似然法和贝叶斯推理的结果,这就解释了这些剔除方案的概率和统计分析中存在的相似性。通过将该方法应用于相当复杂的统一第二类(渐进式)混合剔除方案,说明了该方法的威力。最后,研究还表明,该方法并不局限于(渐进式 II 类剔除)有序统计,它几乎可以扩展到任何类型的有序数据。
Structure of hybrid censoring schemes and its implications
In this paper, structural properties of (progressive) hybrid censoring schemes are established by studying the possible data scenarios resulting from the hybrid censoring scheme. The results illustrate that the distributions of hybrid censored random variables can be immediately derived from the cases of Type-I and Type-II censored data. Furthermore, it turns out that results in likelihood and Bayesian inference are also obtained directly which explains the similarities present in the probabilistic and statistical analysis of these censoring schemes. The power of the approach is illustrated by applying the approach to the quite complex unified Type-II (progressive) hybrid censoring scheme. Finally, it is shown that the approach is not restricted to (progressively Type-II censored) order statistics and that it can be extended to almost any kind of ordered data.
期刊介绍:
Metrika is an international journal for theoretical and applied statistics. Metrika publishes original research papers in the field of mathematical statistics and statistical methods. Great importance is attached to new developments in theoretical statistics, statistical modeling and to actual innovative applicability of the proposed statistical methods and results. Topics of interest include, without being limited to, multivariate analysis, high dimensional statistics and nonparametric statistics; categorical data analysis and latent variable models; reliability, lifetime data analysis and statistics in engineering sciences.