A note on robust and non-robust variogram estimators

A note on fundamental, non-fundamental, and robust cycle bases

In many biological systems, robustness is achieved by redundant wiring, and reflected by the presence of cycles in the graphs connecting the systems’ components. When analyzing such graphs, cyclically robust cycle bases of are of interest since they can be used to generate all cycles of a given 2-connected graph by iteratively adding basis cycles. It is known that strictly fundamental (or Kirch...

Robust model selection criteria for robust S and LTS estimators

Outliers and multi-collinearity often have large influence in the model/variable selection process in linear regression analysis. To investigate this combined problem of multi-collinearity and outliers, we studied and compared Liu-type S (liuS-estimators) and Liu-type Least Trimmed Squares (liuLTS) estimators as robust model selection criteria. Therefore, the main goal this study is to select s...

Confidence Intervals Based on Robust Estimators

A note on robust hypothesis testing

A Note on Robust Biarc Computation

A new robust algorithm for the numerical computation of biarcs, i.e. G curves composed of two arcs of circle, is presented. Many algorithms exist but are based on geometric constructions, which must consider many geometrical configurations. The proposed algorithm uses an algebraic construction which is reduced to the solution of a single 2 by 2 linear system. Singular angles configurations are ...