Ljung-Box检验及其改进方法的比较研究
Comparative Study of Ljung-Box Test and Its Improved Methods
摘要: 在时间序列模型的建模过程中，需要对模型拟合的充分性进行检验，通常会检验是否存在残差自相关。目前，Ljung-Box检验是被广泛应用于各种时间序列模型建模分析中，检验残差序列是否存在自相关的方法。该方法被证实存在一些缺陷，后继学者们提出了一些新的改进方法。选取了四种基于Ljung-Box检验改进方法，通过蒙特卡洛模拟对其有限样本情况下的性质和表现进行了研究，指出了这些方法在实际应用中需要注意的问题。
Abstract: In the modeling process of time series model, it is necessary to test the adequacy of model fitting, usually to test whether there is residual autocorrelation. At present, Ljung-box test is widely used in modeling and analysis of various time series models to test whether there is autocorrelation in re-sidual series. This method was proved to have some defects, and some new improvement methods were put forward by subsequent scholars. Four improved methods based on Ljung-box test are se-lected, and their properties and performance in the case of finite samples are studied by Monte Carlo simulation, and the problems needing attention in practical application of these methods are pointed out.
文章引用：孙淇铭. Ljung-Box检验及其改进方法的比较研究[J]. 应用数学进展, 2023, 12(4): 1884-1896. https://doi.org/10.12677/AAM.2023.124195

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