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强大的估计和偏差纠正的经验概率在一般化的线性模型与右审查数据正确的数据
Liugen Xue1, Junshan Xie1, Xiaohui Yang1
1School of Mathematics and Statistics, Henan University, Kaifeng, People's Republic of China.
Journal of applied statistics
|August 19, 2024
概括
本研究引入了对用受审查数据进行概括的线性模型的可靠估计和经验概率. 新方法提供可靠的回归参数估计和信心区域,优于传统方法.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 生存分析的分析.
背景情况:
- 通用线性模型 (GLMs) 广泛使用,但对异常值和审查敏感.
- 在存在数据异常的情况下,需要强大的方法来可靠地估计回归参数.
- 经验概率提供了一个非参数的推理方法,但需要对被审查的数据进行调整.
研究的目的:
- 开发强大的估计技术回归参数在GLMs与右审查的数据.
- 为准确的信心区域估计构建一个偏差纠正的经验概率比统计.
- 建议在损失函数中选择调整参数的方法,以进行可靠的估计.
主要方法:
- 为回归参数估计提出了一个强大的估计方程.
- 开发了一个经过偏差校正的经验逻辑概率比率统计数据,并建立了它的弱收.
- 介绍了在损失函数中调整参数选择的新方法.
主要成果:
- 建议的强大估计器是一致的,并且在异常上是正常的.
- 经过偏差校正的实证日志概率比率统计数据与标准分布的趋同很弱,从而使直接的信心区域结构成为可能.
- 模拟研究表明估计器的稳定性和偏差纠正的经验概率优于正常近似的优势.
结论:
- 开发的可靠估计和偏差纠正的经验概率方法对具有右控数据的GLM有效.
- 提出的技术为回归参数推断提供了更高的准确性和可靠性.
- 这些方法适用于现实世界的问题,阿尔茨海默病数据集分析证明了这一点.
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