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نمودار جعبه‌ای تعدیل‌شده برای توزیع‌های چوله×بازنمونه‌گیری جک‌نایف×برآورد انحراف مطلق میانه (MAD)×
حوزهآمارآمارآمار
خانوادهRegression modelRegression modelRegression model
سال پیدایش200819561974
پدیدآورHubert & VandervierenQuenouille (1956); reviewed by Miller (1974)Hampel (influence-curve treatment); classical robust statistics
نوعRobust outlier detection / descriptive visualizationResampling / bias and variance estimationRobust scale estimator
منبع بنیادینHubert, 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 ↗
نام‌های دیگرadjusted 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) Tahmini
مرتبط555
خلاصهThe 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.
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ScholarGateمقایسهٔ روش‌ها: Adjusted Boxplot · Jackknife · MAD Estimation. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare