Seminars 2007 — Abstracts
Friday, June 15
Speaker:
Aurore Delaigle,
University of Melbourne
Title:
Nonparametric curve estimation from contaminated data
Abstract: In many real life applications observations
can not be measured precisely and the only data available are contaminated
by measurement errors (for example, due to the inaccuracy of the measurement
device used). When applied to such data, standard nonparametric estimators
of a density or a regression curve are not consistent, but there exist in
the literature nonparametric estimators especially adapted to the measurement
errors. We introduce the problem of measurement errors, define appropriate
nonparametric estimators and discuss some of their interesting properties
(practical and theoretical).