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Adjusted Boxplot×Jackknife'i korduvvalimimeetod×Mediaanist absoluutse hälbe (MAD) hindamine×Robustne aegridade analüüs×
ValdkondStatistikaStatistikaStatistikaStatistika
PerekondRegression modelRegression modelRegression modelRegression model
Tekkeaasta2008195619742019
LoojaHubert & VandervierenQuenouille (1956); reviewed by Miller (1974)Hampel (influence-curve treatment); classical robust statisticsMaronna, Martin, Yohai & Salibián-Barrera (textbook treatment); robust estimation tradition
TüüpRobust outlier detection / descriptive visualizationResampling / bias and variance estimationRobust scale estimatorRobust time series model (AR / MA / ARIMA)
AlgallikasHubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗Hampel, 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
Rööpnimetusedadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)leave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örneklememedian 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
Seotud5555
KokkuvõteThe Adjusted Boxplot is a robust descriptive tool introduced by Hubert and Vandervieren (2008) that corrects the classical IQR-based boxplot for skewness using the medcouple statistic, reducing the false labelling of outliers in asymmetric data.The jackknife is a classical resampling method that estimates the bias and variance of a statistic by systematically recomputing it with one observation left out at a time. Introduced by Quenouille in 1956 and later reviewed by Miller in 1974, it predates the bootstrap and remains a simple, deterministic tool for assessing estimator stability.Median 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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ScholarGateVõrdle meetodeid: Adjusted Boxplot · Jackknife · MAD Estimation · Robust Time Series Analysis. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare