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Προσαρμοσμένο διάγραμμα πλαισίου (Adjusted Boxplot) για ασύμμετρες κατανομές×Επαγωγή Bootstrap×Εκτίμηση της Διάμεσης Απόλυτης Απόκλισης (MAD)×Εισαγωγή στην Ανάλυση Χρονοσειρών με Ανθεκτικότητα×
ΠεδίοΣτατιστικήΣτατιστικήΣτατιστικήΣτατιστική
ΟικογένειαRegression modelRegression modelRegression modelRegression model
Έτος προέλευσης2008197919742019
ΔημιουργόςHubert & VandervierenBradley EfronHampel (influence-curve treatment); classical robust statisticsMaronna, Martin, Yohai & Salibián-Barrera (textbook treatment); robust estimation tradition
ΤύποςRobust outlier detection / descriptive visualizationResampling-based inferenceRobust scale estimatorRobust time series model (AR / MA / ARIMA)
Θεμελιώδης πηγήHubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. 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
Εναλλακτικές ονομασίεςadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımımedian 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
Συναφείς5555
ΣύνοψηThe 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.Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples.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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ScholarGateΣύγκριση μεθόδων: Adjusted Boxplot · Bootstrap Inference · MAD Estimation · Robust Time Series Analysis. Ανακτήθηκε στις 2026-06-17 από https://scholargate.app/el/compare