修正比例失效率尺度模型下的随机比较
Stochastic Comparison under a Model of Modified Proportional Failure Rate Scale
DOI: 10.12677/pm.2025.152064, PDF,    国家自然科学基金支持
作者: 吕国强：西北师范大学数学与统计学院，甘肃 兰州
关键词: 次序统计量；随机比较；多元离群值模型；失效率序；优化序；Order Statistic； Stochastic Comparison； Multivariate Outlier Model； Hazard Rate Order； Majorization
摘要: 本文研究由两组n维独立且异质的样本产生的二阶次序统计量的失效率序。考虑在多元离群值模型的假设下，修正的比例失效率尺度参数不同和两组不同样本量的多元离群值下的随机比较。
Abstract: In this paper, we study the failure order of the second order statistics generated by two groups of n-dimensional independent and heterogeneous samples. Considering the assumption of the multivariate outlier model, the modified proportional failure rate scale parameters and the stochastic comparison of the multiple outliers of two groups with different sample sizes are studied.
文章引用：吕国强. 修正比例失效率尺度模型下的随机比较[J]. 理论数学, 2025, 15(2): 238-246. https://doi.org/10.12677/pm.2025.152064

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