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 …

In this tutorial we first illustrate the effect of outliers on classical statistics such as the sample
average. This motivates the use of robust techniques. For univariate data the sample median …

Galton used quantiles more than a hundred years ago in describing data. Tukey and Parzen
used them in the 60s and 70s in describing populations. Since then, the authors of many …

This monograph is the first book-length exposition of ranked set sampling. But, the subject
matter is by no means new. The original notion of ranked set sampling, though not the …

Network flows build the basis of modern network data analysis by aggregating properties of
network packets with common characteristics. A consistent and unambiguous definition of …

Image processing researchers commonly assert that “median filtering is better than linear
filtering for removing noise in the presence of edges.” Using a straightforward large-n …

Time-Efficient Algorithms for Two Highly Robust Estimators of Scale Page 1 Time-Efficient
Algorithms for Two Highly Robust Estimators of Scale Christophe Croux and Peter J …

We describe multiscale representations for data observed on equispaced grids and taking
values in manifolds such as the sphere S^2, the special orthogonal group SO(3), the positive …

Analysis of massive data sets is challenging owing to limitations of computer primary
memory. In this paper, we propose an approach to estimate population parameters from a …

Untitled Page 1 Page 2 Information Science and Statistics Series Editors: M. Jordan J.
Kleinberg B. Schölkopf Page 3 Information Science and Statistics For other titles published in …