SEMINAIRE STATISTICAL ANALYSIS OF NOISY POINT
Transcription
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.