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广义自回归条件异方差模型的异常点检验OACHSSCD

Outlier Test for Generalized Autoregressive Conditional Heteroscedasticity Model

中文摘要英文摘要

文章研究了正态分布下广义自回归条件异方差模型异常点的检验问题;基于均值漂移模型和方差加权模型给出了得分检验统计量的表达式及其渐近分布,并通过数值模拟证实了该检验方法的有效性.实证部分选取了纽约证券交易所综合指数的日数据,建立广义自回归条件异方差模型,比较分析了得分检验方法和局部影响分析方法在该模型诊断中的差异性.

This paper studies the detection of outliers in a generalized autoregressive conditional heteroscedasticity model un-der normal distribution.Based on the mean shift model and variance weighted model,the expression of the score test statistic and its asymptotic distribution are given,and the effectiveness of this test method is confirmed through numerical simulation.In empirical study,the daily data of the New York Stock Exchange Composite Index are chosen to construct a generalized autoregressive condi-tional heteroscedasticity model,and the differences between the score test method and the local influence analysis method in the di-agnosis of this model are compared and analyzed.

宋鑫;刘永辉;彭红

上海对外经贸大学 统计与数据科学学院,上海 201620上海对外经贸大学 统计与数据科学学院,上海 201620上海对外经贸大学 统计与数据科学学院,上海 201620

数理科学

GARCH模型均值漂移模型方差加权模型得分检验局部影响分析

GARCH modelmean shift modelvariance weighted modelscore testlocal influence analysis

《统计与决策》 2026 (5)

36-40,5

国家社会科学基金重大项目(22&ZD160)

10.13546/j.cnki.tjyjc.2026.05.006

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