### Asymptotics: Particles, Processes and Inverse Problems: Festschrift for Piet Groeneboom

Editor: Eric A. Cator
Editor: Geurt Jongbloed
Editor: Cor Kraaikamp
Editor: Hendrik P. Lopuhaä
Editor: Jon A. Wellner

Lecture Notes--Monograph Series, Volume 55
Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2007.
252 pp.

#### Abstract:

In September 2006, Piet Groeneboom officially retired as professor of statistics at Delft University of Technology and the Vrije Universiteit in Amsterdam. He did so by delivering his farewell lecture Summa Cogitatio' (to appear in Nieuw Archief voor Wiskunde, 2007) in the Aula of the university in Delft. To celebrate Piet's impressive contributions to statistics and probability, the workshop Asymptotics: particles, processes and inverse problems' was held from July 10 until July 14, 2006, at the Lorentz Center in Leiden. Many leading researchers in the fields of probability and statistics gave talks at this workshop, and it became a memorable event for all who attended, including the organizers and Piet himself.

This volume serves as a Festschrift for Piet Groeneboom. It contains papers that were presented at the workshop as well as some other contributions, and it represents the state of the art in the areas in statistics and probability where Piet has been (and still is) most active. Furthermore, a short CV of Piet Groeneboom and a list of his publications are included.

Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1196797058
ISBN:978-0-940600-71-3
ISBN:0-940600-71-4

Copyright © 2007, Institute of Mathematical Statistics.

Title and Copyright Pages

iii-iv

Preface

Eric A. Cator, Geurt Jongbloed, Cor Kraaikamp, Hendrik P. Lopuhaä, and Jon A. Wellner; v

Photograph of Piet Groeneboom

vi

Curriculum Vitae of Piet Groeneboom

vii

Publications of Piet Groeneboom

viii-x

Contributor's List

xi-xii

A Kiefer-Wolfowitz theorem for convex densities

Fadoua Balabdaoui, and Jon A. Wellner; 1-31

Model selection for Poisson processes

Lucien Birgé; 32-64

Scale space consistency of piecewise constant least squares estimators – another look at the regressogram

Leif Boysen, Volkmar Liebscher, Axel Munk, and Olaf Wittich; 65-84

Confidence bands for convex median curves using sign-tests

Lutz Dümbgen; 85-100

Marshall’s lemma for convex density estimation

Lutz Dümbgen, Kaspar Rufibach, and Jon A. Wellner; 101-107

Escape of mass in zero-range processes with random rates

Pablo A. Ferrari, and Valentin V. Sisko; 108-120

On non-asymptotic bounds for estimation in generalized linear models with highly correlated design

Sara A. van de Geer; 121-134

Better Bell inequalities (passion at a distance)

Richard D. Gill; 135-148

Asymptotic oracle properties of SCAD-penalized least squares estimators

Jian Huang, and Huiliang Xie; 149-166

Critical scaling of stochastic epidemic models

Steven P. Lalley; 167-178

Enno Mammen, and Kyusang Yu; 179-195

A note on Talagrand’s convex hull concentration inequality

David Pollard; 196-203

A growth model in multiple dimensions and the height of a random partial order

Timo Seppäläinen; 204-233

Empirical processes indexed by estimated functions

Jon A. Wellner Wellner, and Aad W. van der Vaart; 234-252