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  1. Article

    Open Access

    Robust logistic zero-sum regression for microbiome compositional data

    We introduce the Robust Logistic Zero-Sum Regression (RobLZS) estimator, which can be used for a two-class problem with high-dimensional compositional covariates. Since the log-contrast model is employed, the ...

    G. S. Monti, P. Filzmoser in Advances in Data Analysis and Classification (2022)

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  2. Article

    Open Access

    Classical and Robust Regression Analysis with Compositional Data

    Compositional data carry their relevant information in the relationships (logratios) between the compositional parts. It is shown how this source of information can be used in regression modeling, where the co...

    K. G. van den Boogaart, P. Filzmoser, K. Hron, M. Templ… in Mathematical Geosciences (2021)

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  3. No Access

    Article

    Robust second-order least-squares estimation for regression models with autoregressive errors

    Rosadi and Peiris (Comput Stat 29:931–943, 2014) applied the second-order least squares estimator (SLS), which was proposed in Wang and Leblanc (Ann Inst of Stat Math 60:883–900, 2008), to regression models with ...

    D. Rosadi, P. Filzmoser in Statistical Papers (2019)

  4. Article

    Erratum to: Ultrahigh dimensional variable selection through the penalized maximum trimmed likelihood estimator

    N. M. Neykov, P. Filzmoser, P. N. Neytchev in Statistical Papers (2014)

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  5. No Access

    Article

    Ultrahigh dimensional variable selection through the penalized maximum trimmed likelihood estimator

    The penalized maximum likelihood estimator (PMLE) has been widely used for variable selection in high-dimensional data. Various penalty functions have been employed for this purpose, e.g., Lasso, weighted Las...

    N. M. Neykov, P. Filzmoser, P. N. Neytchev in Statistical Papers (2014)

  6. Article

    Open Access

    Diagnoses-related procedure bundles in outpatient care – results from a research project using secondary data

    N Pfeffer, A Weisser, G Endel, C Scholler, A Eisl… in BMC Health Services Research (2011)

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  7. Article

    Open Access

    Comparison of some linear regression methods – available in R – for a QSPR problem

    K Varmuza, P Filzmoser in Chemistry Central Journal (2009)

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  8. No Access

    Article

    Robust canonical correlations: A comparative study

    Several approaches for robust canonical correlation analysis will be presented and discussed. A first method is based on the definition of canonical correlation analysis as looking for linear combinations of t...

    J. A. Branco, C. Croux, P. Filzmoser, M. R. Oliveira in Computational Statistics (2005)

  9. No Access

    Article

    Testing hypotheses with fuzzy data: The fuzzy p-value

    Statistical hypothesis testing is very important for finding decisions in practical problems. Usually, the underlying data are assumed to be precise numbers, but it is much more realistic in general to conside...

    P. Filzmoser, R. Viertl in Metrika (2004)

  10. No Access

    Chapter and Conference Paper

    Robust Redundancy Analysis by Alternating Regression

    Given two groups of variables redundancy analysis searches for linear combinations of variables in one group that maximize the variance of the other group that is explained by each one of the linear combinatio...

    M. R. Oliveira, J. A. Branco, C. Croux… in Theory and Applications of Recent Robust M… (2004)

  11. No Access

    Article

    Fitting multiplicative models by robust alternating regressions

    In this paper a robust approach for fitting multiplicative models is presented. Focus is on the factor analysis model, where we will estimate factor loadings and scores by a robust alternating regression algor...

    C. Croux, P. Filzmoser, G. Pison, P. J. Rousseeuw in Statistics and Computing (2003)

  12. No Access

    Article

    Normal and lognormal data distribution in geochemistry: death of a myth. Consequences for the statistical treatment of geochemical and environmental data

    All variables of several large data sets from regional geochemical and environmental surveys were tested for a normal or lognormal data distribution. As a general rule, almost all variables (up to more than 5...

    C. Reimann, P. Filzmoser in Environmental Geology (2000)

  13. No Access

    Chapter and Conference Paper

    Outlier resistant estimators for canonical correlation analysis

    Canonical correlation analysis studies associations between two sets of random variables. Its standard computation is based on sample covariance matrices, which are however very sensitive to outlying observati...

    P. Filzmoser, C. Dehon, C. Croux in COMPSTAT (2000)

  14. No Access

    Chapter and Conference Paper

    A robust version of principal factor analysis

    Our aim is to construct a factor analysis method that can resist the effect of outliers. We start with a highly robust initial covariance estimator, after which the factors can be obtained from maximum likelih...

    G. Pison, P. J. Rousseeuw, P. Filzmoser, C. Croux in COMPSTAT (2000)

  15. No Access

    Chapter and Conference Paper

    Investigation of the Language in Germany and Austria Using Statistical Methods

    On the basis of texts from the 18th century the German language is investigated. We emphasize not the use of words but the grammatical distribution of the words distinguished by codes. The relative frequencies...

    P. Filzmoser in Classification and Knowledge Organization (1997)