构建局部自归一化多变点检验的通用框架

A General Framework for Constructing Locally Self-Normalized Multiple-Change-Point Tests

Journal of Business & Economic Statistics · 2023
被引 1
人大 AABS 4

中文导读

提出一个通用框架,利用用户指定的单变点检测统计量构建自归一化多变点检验,无需稳健估计或预设变点数量,在有限样本中表现出更好的检验准确性和稳健性,并应用于沪港通成交量分析。

Abstract

We propose a general framework to construct self-normalized multiple-change-point tests with time series data. The only building block is a user-specified single-change-detecting statistic, which covers a large class of popular methods, including the cumulative sum process, outlier-robust rank statistics, and order statistics. The proposed test statistic does not require robust and consistent estimation of nuisance parameters, selection of bandwidth parameters, nor pre-specification of the number of change points. The finite-sample performance shows that the proposed test is size-accurate, robust against misspecification of the alternative hypothesis, and more powerful than existing methods. Case studies of the Shanghai-Hong Kong Stock Connect turnover are provided.

自归一化检验多变点检测时间序列变点统计量