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- W2026174828 startingPage "253" @default.
- W2026174828 abstract "Cox et al. (1988) show that under a random smooth function model with signal covariance matrix V, a locally most powerful test for the presence of a nonpolynomial signal is based on the statistic yTVy. We show that if a well-known difference-based roughness measure is used to derive a natural choice for V then this statistic is the sum of squares of a residual cusum sequence. Thus we confirm theoretically the long-held impression that the residual cusum sequence is powerful as a tool for the detection of smooth signal." @default.
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- W2026174828 date "1991-01-01" @default.
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- W2026174828 title "Detecting a smooth signal: Optimality of cusum based procedures" @default.
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- W2026174828 doi "https://doi.org/10.1093/biomet/78.2.253" @default.
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