Breve introducción a la Matemática de la Estadística Espacial

Abstract Spatial statistical techniques and geostatistics are applied in
numerous disciplines, including: Biology, Economic Geography, Image
Processing, Earth Sciences and Environment, Ecology, Geography, Epi-
demiology, Agronomy, Forestry, mineral prospecting, etc. These notes are
an introduction to this subject from a mathematically rigorous point of
view but without going in details into any particular topic. Chapter 1
gives a brief motivation to the subject by means of an example of the
statistical analysis of satellite images. Chapter 2 is devoted to spatial models
defined by processes with finite second order moments. Chapter 3 deals
with Gibbs-Markov random fields defined on pairs of integers. A few con-
cepts developed in Statistical Physics are adapted to image processing.
Finally Chapter 4 discusses briefly aspects related to spatial correlation.