Functional marked point processes: a natural structure to unify spatio-temporal frameworks and to analyse dependent functional data
Journal article, 2021
tistical analyses for FMPPs, we study characteristics such as product densities and Palm distributions, which are the building blocks for many summary statistics. We proceed to defining a new family of summary statistics, so-called weighted marked reduced moment measures, together with their nonparametric estimators, in order to study features of the functional marks. We further show how other summary statistics may be obtained as special cases of these summary statistics. We finally apply these tools to analyse population structures, such as demographic evolution and sex ratio over time, in Spanish provinces.
Luleå University of Technology
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Universitat Jaume I De Castellon
1133-0686 (ISSN)Vol. 30 529-568
Probability Theory and Statistics