SEMINAIRE STATISTICAL ANALYSIS OF NOISY POINT

UNIVERSITE LIBRE DE BRUXELLES
DEPARTEMENT DE MATHEMATIQUE
INSTITUT DE RECHERCHE EN STATISTIQUE (ECARES)
SEMINAIRE
STATISTICAL ANALYSIS
OF NOISY POINT PROCESSES
Avner Bar Hen
Université de Paris 5
VENDREDI 26 OCTOBRE 2007 à 16 H 00
Campus Plaine – Bâtiment NO – Salle des Professeurs
ABSTRACT
The analysis of point patterns often begins with a test of complete spatial
randomness using summaries such as the empty-space function F or the
nearest neighbour distance distribution function G. These functions
constitute basic summaries upon which many studies are based, depending
on their shape. As the map of points is usually considered accurate, MonteCarlo tests are performed on the observed pattern without taking into
account position errors. However, position errors usually occur during the
mapping process.
The aim of this work is to quantify the impact of measurement error on
descriptive distance statistics and to integrate these errors in the nonparametric analysis. An application to tropical forest species is presented.