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Коригиран диаграмен бокс за асиметрични разпределения×Бутстрап извод×Оценка на медианното абсолютно отклонение (MAD)×Устойчив анализ на времеви редове×
ОбластСтатистикаСтатистикаСтатистикаСтатистика
СемействоRegression modelRegression modelRegression modelRegression model
Година на възникване2008197919742019
СъздателHubert & VandervierenBradley EfronHampel (influence-curve treatment); classical robust statisticsMaronna, Martin, Yohai & Salibián-Barrera (textbook treatment); robust estimation tradition
ТипRobust outlier detection / descriptive visualizationResampling-based inferenceRobust scale estimatorRobust time series model (AR / MA / ARIMA)
Основополагащ източникHubert, 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
Други названияadjusted 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
Свързани5555
РезюмеThe 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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ScholarGateСравнение на методи: Adjusted Boxplot · Bootstrap Inference · MAD Estimation · Robust Time Series Analysis. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare