相关实验视频
Updated: May 24, 2025

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An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
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根据马歇尔-奥利金双变的基斯分布,根据一般化的渐进式混合审查来推断取决于竞争风险的推断
Prakash Chandra1, Hemanta Kumar Mandal1, Yogesh Mani Tripathi1
1Department of Mathematics, Indian Institute of Technology Patna, Bihta, Bihar, India.
Journal of applied statistics
|March 5, 2025
概括
本研究引入了使用马歇尔-奥利金双变量基斯分布分析具有依赖失效时间的竞争性风险的新方法. 该研究提供了古典和贝叶斯估计技术,用于复杂的审查方案下的可靠性和生存分析.
科学领域:
- 统计 统计 统计 统计
- 可靠性工程可靠性工程
- 生存分析的分析.
背景情况:
- 竞争的风险模型对于理解具有多种故障模式的系统至关重要.
- 独立的失效时间使标准分析复杂化,需要先进的统计方法.
- 一般化的渐进式混合审查在参数估计中带来了挑战.
研究的目的:
- 开发和评估经典和贝叶斯推理方法,用于具有依赖失败原因的竞争性风险模型.
- 在这个框架内调查马歇尔-奥利金双变量基斯分布.
- 在通用的渐进式混合审查和受限制的参数空间下探索估计.
主要方法:
- 对于未知参数的最大概率估计 (MLE).
- 使用观察到的费舍尔信息矩阵构建近似的置信区间.
- 使用Gamma-Dirichlet先行分布的贝叶斯估计.
- 根据竞争性风险参数的先验顺序信息开发估计器.
主要成果:
- 对于最大概率估计器的确立存在和独特性.
- 开发了模型参数的近似置信区间.
- 在灵活的前期条件下衍生贝叶斯估计器.
- 为限制参数案例提供了经典和贝叶斯估计.
- 通过模拟和真实数据示例证明了拟议的估计器的性能.
结论:
- 提出的古典和贝叶斯方法提供了有效的工具,用于分析竞争的风险与依赖的失败在一般化的渐进式混合审查下.
- 该研究验证了马歇尔-奥利金双变量基斯分布在复杂可靠性场景中的适用性.
- 模拟和真实数据分析证实了开发的估计器的实际实用性和行为.
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