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تحلیل سری زمانی مقاوم×برآوردگرهای مقیاس مقاوم Sn و Qn×
حوزهآمارآمار
خانوادهRegression modelRegression model
سال پیدایش20191993
پدیدآورMaronna, Martin, Yohai & Salibián-Barrera (textbook treatment); robust estimation traditionRousseeuw & Croux
نوعRobust time series model (AR / MA / ARIMA)Robust scale estimator
منبع بنیادینMaronna, R. A., Martin, R. D., Yohai, V. J., & Salibián-Barrera, M. (2019). Robust Statistics: Theory and Methods (with R) (2nd ed.). Wiley. ISBN: 978-1119214687Rousseeuw, P. J., & Croux, C. (1993). Alternatives to the Median Absolute Deviation. Journal of the American Statistical Association, 88(424), 1273-1283. DOI ↗
نام‌های دیگرrobust ARIMA, robust autoregressive model, outlier-resistant time series, Robust Zaman Serisi AnaliziSn estimator, Qn estimator, Rousseeuw-Croux scale estimators, robust scale estimation
مرتبط55
خلاصهRobust 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).Sn and Qn are robust estimators of scale (spread) proposed by Rousseeuw and Croux (1993) as alternatives to the median absolute deviation (MAD). Both attain a 50% breakdown point while delivering higher statistical efficiency than MAD, so they measure dispersion accurately even when the data contain outliers.
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ScholarGateمقایسهٔ روش‌ها: Robust Time Series Analysis · Sn and Qn Scale Estimators. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare