Approximate maximum likelihood estimation for a spatial point pattern

  1. Mateu, Jorge
  2. Montes Suay, Francisco
Revista:
Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa

ISSN: 0210-8054

Año de publicación: 2000

Volumen: 24

Número: 1

Páginas: 3-25

Tipo: Artículo

Otras publicaciones en: Questiió: Quaderns d'Estadística, Sistemes, Informatica i Investigació Operativa

Resumen

Several authors have proposed stochastic and non-stochastic approximations to the maximum likelihood estimate for a spatial point pattern. This approximation is necessary because of the difficulty of evaluating the normalizing constant. However, it appears to be neither a general theory which provides grounds for preferring a particular method, nor any extensive empirical comparisons. In this paper, we review five general methods based on approximations to the maximum likelihood estimate which have been proposed in the literature. We also present the results of a comparative simulation study developed for the Strauss model