English

Spatial modelling for mixed-state observations

Statistics Theory 2008-03-27 v2 Statistics Theory

Abstract

In several application fields like daily pluviometry data modelling, or motion analysis from image sequences, observations contain two components of different nature. A first part is made with discrete values accounting for some symbolic information and a second part records a continuous (real-valued) measurement. We call such type of observations "mixed-state observations". This paper introduces spatial models suited for the analysis of these kinds of data. We consider multi-parameter auto-models whose local conditional distributions belong to a mixed state exponential family. Specific examples with exponential distributions are detailed, and we present some experimental results for modelling motion measurements from video sequences.

Keywords

Cite

@article{arxiv.0801.2231,
  title  = {Spatial modelling for mixed-state observations},
  author = {Cécile Hardouin and Jian-Feng Yao},
  journal= {arXiv preprint arXiv:0801.2231},
  year   = {2008}
}

Comments

Published in at http://dx.doi.org/10.1214/08-EJS173 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T10:02:58.495Z