Multiscale Inference about a Density (2007)
Duembgen, Lutz, Walther, Guenther
We introduce a multiscale test statistic based on local order statistics and spacings that provides simultaneous confidence statements for the existence and location of local increases and decreases...
Forward stagewise regression and the monotone lasso (2007)
Hastie, Trevor, Taylor, Jonathan, Tibshirani, Robert, Walther, Guenther
We consider the least angle regression and forward stagewise algorithms for solving penalized least squares regression problems. In Efron, Hastie, Johnstone & Tibshirani (2004) it is proved that the...
Multiscale maximum likelihood analysis of a semiparametric model, with applications (2001)
A special semiparametric model for a univariate density is introduced that allows analyzing a number of problems via appropriate transformations. Two problems treated in some detail are testing for...
Cluster Validation By Prediction Strength (2001)
Robert Tibshirani, Guenther Walther, David Botstein
We propose a new quantity for assessing the number of groups or clusters in a dataset. The key idea is to view clustering as a supervised classication problem, in which we must also estimate the rue"...
Estimating the number of clusters in a dataset via the Gap statistic (2000)
Robert Tibshirani, Guenther Walther
We propose a method (the Gap statistic") for estimating the number of clusters (groups) in a set of data. The technique uses the output of any clustering algorithm (e.g. k-means or hierarchical),...
Absence of Correlation between the Solar Neutrino Flux and the Sunspot Number (1998)
There exists a considerable amount of research claiming a puzzling anti-correlation between the neutrino detection rate at the Homestake experiment and indicators of solar activity such as the...
Granulometric smoothing (1997)
A new method for smoothing a multivariate data set is introduced that is based on a simple geometric operation. This method is applied to the problem of estimating level sets of a density and minimum...
Absence of Correlation between the Solar Neutrino Flux and the Sunspot Number (1997)
There exists a considerable amount of research claiming a puzzling anti-correlation between the neutrino detection rate at the Homestake experiment and indicators of solar activity such as the...
Monte Carlo sampling in dual space for approximating the empirical halfspace distance (1997)
The Kolmogorov-Smirnov distance is an important tool for constructing confidence sets and tests in univariate problems. In multivariate settings, an analogous role is played by the halfspace...
Statistical applications of geometric duality /--by Guenther Walther. (1994)
Thesis (Ph. D. in Statistics)--University of California, Berkeley, Dec. 1994.