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Mediaanin absoluuttisen poikkeaman (MAD) estimointi×Robustin aikasarja-analyysi×
TieteenalaTilastotiedeTilastotiede
MenetelmäperheRegression modelRegression model
Syntyvuosi19742019
KehittäjäHampel (influence-curve treatment); classical robust statisticsMaronna, Martin, Yohai & Salibián-Barrera (textbook treatment); robust estimation tradition
TyyppiRobust scale estimatorRobust time series model (AR / MA / ARIMA)
AlkuperäislähdeHampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Maronna, R. A., Martin, R. D., Yohai, V. J., & Salibián-Barrera, M. (2019). Robust Statistics: Theory and Methods (with R) (2nd ed.). Wiley. ISBN: 978-1119214687
Rinnakkaisnimetmedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminirobust ARIMA, robust autoregressive model, outlier-resistant time series, Robust Zaman Serisi Analizi
Liittyvät55
TiivistelmäMedian Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.Robust Time Series Analysis fits autoregressive, moving-average, and ARIMA models to series that contain outliers or structural breaks, using M-estimation or MM-estimation instead of ordinary least squares so that a few anomalous observations do not distort the fit. It follows the robust statistics tradition consolidated in Maronna, Martin, Yohai and Salibián-Barrera (2019).
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ScholarGateVertaile menetelmiä: MAD Estimation · Robust Time Series Analysis. Haettu 2026-06-17 osoitteesta https://scholargate.app/fi/compare