[書籍][B] Robust statistics: theory and methods (with R)

RA Maronna, RD Martin, VJ Yohai, M Salibián-Barrera - 2019 - books.google.com
A new edition of this popular text on robust statistics, thoroughly updated to include new and
improved methods and focus on implementation of methodology using the increasingly …

Alternatives to the median absolute deviation

PJ Rousseeuw, C Croux - Journal of the American Statistical …, 1993 - Taylor & Francis
In robust estimation one frequently needs an initial or auxiliary estimate of scale. For this one
usually takes the median absolute deviation MAD n= 1.4826 med,{| xi− med jxj|}, because it …

[書籍][B] Introduction to robust estimation and hypothesis testing

RR Wilcox - 2011 - books.google.com
This revised book provides a thorough explanation of the foundation of robust methods,
incorporating the latest updates on R and S-Plus, robust ANOVA (Analysis of Variance) and …

Sharpening Wald-type inference in robust regression for small samples

M Koller, WA Stahel - Computational Statistics & Data Analysis, 2011 - Elsevier
The datasets used in statistical analyses are often small in the sense that the number of
observations n is less than 5 times the number of parameters p to be estimated. In contrast …

Regression depth

PJ Rousseeuw, M Hubert - Journal of the American Statistical …, 1999 - Taylor & Francis
In this article we introduce a notion of depth in the regression setting. It provides the “rank” of
any line (plane), rather than ranks of observations or residuals. In simple regression we can …

High-breakdown robust multivariate methods

M Hubert, PJ Rousseeuw, S Van Aelst - 2008 - projecteuclid.org
When applying a statistical method in practice it often occurs that some observations deviate
from the usual assumptions. However, many classical methods are sensitive to outliers. The …

On the robustness of size and book‐to‐market in cross‐sectional regressions

PJ Knez, MJ Ready - The Journal of Finance, 1997 - Wiley Online Library
We use a robust regression estimator to analyze the risk premia on size and book‐to‐
market. We find that the risk premium on size that was estimated by Fama and French (1992) …

A fast algorithm for S-regression estimates

M Salibian-Barrera, VJ Yohai - Journal of computational and …, 2006 - Taylor & Francis
Equivariant high-breakdown point regression estimates are computationally expensive, and
the corresponding algorithms become unfeasible for moderately large number of regressors …

[書籍][B] Robust Asymptotic Statistics: Volume I

H Rieder - 2012 - books.google.com
1 To the king, my lord, from your servant Balasi: 2... The king should have a look. Maybe the
scribe who reads to the king did not understand.... shall I personally show, with this tablet …

A class of robust and fully efficient regression estimators

D Gervini, VJ Yohai - The Annals of Statistics, 2002 - projecteuclid.org
This paper introduces a new class of robust estimators for the linear regression model. They
are weighted least squares estimators, with weights adaptively computed using the …