[BUCH][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 …

On model selection

CR Rao, Y Wu, S Konishi, R Mukerjee - Lecture Notes-Monograph Series, 2001 - JSTOR
The task of statistical model selection is to choose a family of distributions among a possible
set of families, which is the best approximation of reality manifested in the observed data. In …

Outlier robust model selection in linear regression

S Müller, AH Welsh - Journal of the American Statistical Association, 2005 - Taylor & Francis
We propose a new approach to the selection of regression models based on combining a
robust penalized criterion and a robust conditional expected prediction loss function that is …

Robust model selection using fast and robust bootstrap

M Salibian-Barrera, S Van Aelst - Computational Statistics & Data Analysis, 2008 - Elsevier
Robust model selection procedures control the undue influence that outliers can have on the
selection criteria by using both robust point estimators and a bounded loss function when …

A comparison of robust versions of the AIC based on M-, S-and MM-estimators

K Tharmaratnam, G Claeskens - Statistics, 2013 - Taylor & Francis
Variable selection in the presence of outliers may be performed by using a robust version of
Akaike's information criterion (AIC). In this paper, explicit expressions are obtained for such …

A procedure for estimating the number of clusters in logistic regression clustering

G Qian, Y Wu, Q Shao - Journal of classification, 2009 - Springer
This paper studies the problem of estimating the number of clusters in the context of logistic
regression clustering. The classification likelihood approach is employed to tackle this …

Nonlinear modeling of protein expressions in protein arrays

I Tabus, A Hategan, C Mircean… - … on signal processing, 2006 - ieeexplore.ieee.org
This paper addresses the problem of estimating the expressions or concentrations of
proteins from measurements obtained from protein arrays and illustrates the methodology …

Robust estimators in non-linear regression models with long-range dependence

A Ivanov, N Leonenko - Optimal design and related areas in optimization …, 2008 - Springer
We present the asymptotic distribution theory for M-estimators in non-linear regression
model with long-range dependence (LRD) for a general class of covariance functions in …

Robust model selection with flexible trimming

M Riani, AC Atkinson - Computational statistics & data analysis, 2010 - Elsevier
The forward search provides data-driven flexible trimming of a Cp statistic for the choice of
regression models that reveals the effect of outliers on model selection. An informed robust …

Consistent and robust variable selection in regression based on Wald test

TS Kamble, DN Kashid, DM Sakate - Communications in Statistics …, 2019 - Taylor & Francis
Selection of relevant predictor variables for building a model is an important problem in the
multiple linear regression. Variable selection method based on ordinary least squares …