Adaptive Change Point Monitoring for High-Dimensional Data

نویسندگان

چکیده

In this paper, we propose a class of monitoring statistics for mean shift in sequence high-dimensional observations. Inspired by the recent U-statistic based retrospective tests developed Wang et al.(2019) and Zhang al.(2020), advance approach to sequential problem developing new adaptive procedure that can detect both dense sparse changes real-time. Unlike where self-normalization was used their tests, instead introduce estimators $q$-norm covariance matrix prove ratio consistency. To facilitate fast computation, further develop recursive algorithms improve computational efficiency procedure. The advantage proposed methodology is demonstrated via simulation studies real data illustrations.

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ژورنال

عنوان ژورنال: Statistica Sinica

سال: 2022

ISSN: ['1017-0405', '1996-8507']

DOI: https://doi.org/10.5705/ss.202020.0438