滞后效应模型中的相关余量:它们在连续时间过程中代表什么 (不代表什么)
1Methods and Statistics, Faculty of Social and Behavioural Sciences, Utrecht University, Utrecht, The Netherlands.
Multivariate behavioral research
|November 10, 2025
概括
在连续时间 (CT) 矢量自回归 (VAR) 模型中解释剩余相关性至关重要. 应用于CT过程的离散时间 (DT) 模型中的相关余量可以在不同间隔内表明遗漏的原因或影响.
科学领域:
- 时间序列分析时间序列分析
- 计量经济学 计量经济学 计量经济学
- 因果推理因果推理
背景情况:
- 矢量自回归 (VAR) 模型被广泛用于分析随时间变量之间的关系.
- 传统上关注的是滞后系数,但剩余相关性 (创新) 正在引起人们的注意.
- 了解剩余相关性对于准确解释时间序列数据至关重要.
研究的目的:
- 在离散时间 (DT) 和连续时间 (CT) VAR模型中调查剩余相关性的含义.
- 为了澄清在使用DT视角分析CT过程时,什么剩余相关性可以和不能发出信号.
- 为了突出潜在的偏差在估计因果关系由于遗漏的变量.
主要方法:
- 离散时间 (DT) 和连续时间 (CT) VAR模型的比较分析.
- 根据不同的时间假设 (DT与CT) 检查剩余相关性.
- 在CT工艺中对相关和非相关残留物的含义进行理论研究.
主要成果:
- 将DT视角应用于CT过程可能会导致对残余的误解.
- 在CT过程中相关的DT残留物可能会在更短和更长的间隔中表明遗漏的原因或影响.
- 不相关的DT残留物并不排除CT过程中的相互依赖性或遗漏的常见原因.
- CT残余相关性表明遗漏的原因,可能会导致滞后关系估计的偏差.
结论:
- 在CT VAR(1) 模型中的残余相关性是遗漏常见原因的重要指标.
- 使用DT模型误解CT过程可能会扭曲对预测和因果关系的理解.
- 由遗漏的变量引起的偏差的大小不能仅从CT剩余相关性来确定.
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