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  • 标题:Real-time financial surveillance via quickest change-point detection methods
  • 本地全文:下载
  • 作者:Andrey Pepelyshev ; Aleksey S. Polunchenko
  • 期刊名称:Statistics and Its Interface
  • 印刷版ISSN:1938-7989
  • 电子版ISSN:1938-7997
  • 出版年度:2017
  • 卷号:10
  • 期号:1
  • 页码:93-106
  • DOI:10.4310/SII.2017.v10.n1.a9
  • 出版社:International Press
  • 摘要:We consider the problem of efficient financial surveillance aimed at “on-the-go” detection of structural breaks (anomalies) in “live”-monitored financial time series. With the problem approached statistically, viz. as that of multicyclic sequential (quickest) change-point detection, we propose a semi-parametric multi-cyclic change-point detection procedure to promptly spot anomalies as they occur in the time series under surveillance. The proposed procedure is a derivative of the likelihood ratio-based Shiryaev–Roberts (SR) procedure; the latter is a quasi-Bayesian surveillance method known to deliver the fastest (in the multi-cyclic sense) speed of detection, whatever be the false alarm frequency. We offer a case study where we first carry out, step by step, a preliminary statistical analysis of a set of real-world financial data, and then set up and devise (a) the proposed SR-based anomaly-detection procedure and (b) the celebrated Cumulative Sum (CUSUM) chart to detect structural breaks in the data. While both procedures performed well, the proposed SR-derivative, conforming to the intuition, seemed slightly better.
  • 关键词:CUSUM chart; financial surveillance; sequential analysis; Shiryaev–Roberts procedure; quickest change-point detection
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