UW Biiostatistics & Medical Informatics UW Biostatistics & Medical Informatics UW Madison UW Biostatistics & Medical Informatics Site Map
UW School of Medicine and Public Health UW Madison



Other Seminar Series


Joint Statistics / Biostatistics and Medical Informatics Seminar

Inference with Balls and Envelopes

Christopher Genovese, PhD,
Department of Statistics, Carnegie Mellon University

Wednesday, March 3, 2004, 4-5 p.m.

1221 Computer Sciences and Statistics building, 1210 West Dayton St.


In this talk, I will discuss recent work on constructing confidence balls for an unknown function in nonparametric regression problems. The goal is to construct confidence balls in a specified metric with (asymptotically) uniform coverage that can then be constrained by available side information. I'll describe two approaches. The first extends results by Beran and Dumbgen (1998) to wavelet bases and weighted L2 loss. The second, still in progress, constructs L^\infty confidence balls -- confidence bands -- that account for bias in a truncated basis expansion. Our approach follows Baraud (2002) in using a family of tests to select subspaces on which to construct the balls. I will demonstrate these methods through an analysis of the Cosmic Microwave Background spectrum, which is used by cosmologists to understand the physics of the early universe.

Return to seminar list


Internal Use | Site Map | Search |
Overview | People | Training | Research | Seminars | Employment | Links |
Biostatistics Program | Clinical Trials Program | Medical Informatics Program | Biomedical Computing |

Copyright © 2006 The Board of Regents of the
University of Wisconsin System


UW Madison UW School of Medicine and Public Health