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| Phát hiện điểm thay đổi (PELT)× | Biểu đồ kiểm soát tổng lũy tích (CUSUM)× | Phân tích tuần tự (Thiết kế tuần tự nhóm)× | |
|---|---|---|---|
| Lĩnh vực | Thống kê | Thống kê | Thống kê |
| Họ≠ | Machine learning | Process / pipeline | Hypothesis test |
| Năm ra đời≠ | 2012 | 1954 | 1977 |
| Người khởi xướng≠ | Killick, Fearnhead & Eckley | E. S. Page | P. C. O'Brien & T. R. Fleming; P. C. Pocock |
| Loại≠ | Sequential segmentation algorithm | Statistical process control chart for small shifts | Sequential / adaptive hypothesis test |
| Công trình gốc≠ | Killick, R., Fearnhead, P., & Eckley, I. A. (2012). Optimal detection of changepoints with a linear computational cost. Journal of the American Statistical Association, 107(500), 1590–1598. DOI ↗ | Page, E. S. (1954). Continuous inspection schemes. Biometrika, 41(1/2), 100–115. DOI ↗ | O'Brien, P.C. & Fleming, T.R. (1979). A Multiple Testing Procedure for Clinical Trials. Biometrics, 35(3), 549–556. DOI ↗ |
| Tên gọi khác | Structural Break Detection, Breakpoint Analysis, Regime Change Detection, Değişim Noktası Tespiti | cumulative sum chart, CUSUM control chart, Page's CUSUM, kümülatif toplam kontrol kartı | sequential testing, group sequential design, interim analysis, Sıralı Analiz (Sequential Testing / Group Sequential Design) |
| Liên quan≠ | 2 | 4 | 5 |
| Tóm tắt≠ | Change-Point Detection identifies time points at which the statistical properties of a sequence — such as mean, variance, or distribution — shift abruptly. The Pruned Exact Linear Time (PELT) algorithm, introduced by Killick, Fearnhead, and Eckley (2012), solves the penalized segmentation problem exactly while achieving linear expected computational cost, making it practical for long time series encountered in genomics, finance, climatology, and signal processing. | The cumulative sum (CUSUM) control chart, introduced by E. S. Page in 1954, monitors a process by accumulating the deviations of observations from a target value rather than judging each point in isolation. Because small persistent shifts add up over time, the running sum makes them visible far sooner than a Shewhart chart, making CUSUM the tool of choice for detecting small, sustained changes in the process mean. | Sequential analysis is a framework for conducting hypothesis tests with pre-planned interim looks at accumulating data, allowing a study to stop early for efficacy or futility while controlling the overall Type I error rate. The group sequential approach was formalised by Pocock (1977) and O'Brien and Fleming (1979), and remains the standard for confirmatory clinical trials and rigorous A/B experiments. |
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