L\'{e}vy-based growth models
Abstract
In the present paper, we give a condensed review, for the nonspecialist reader, of a new modelling framework for spatio-temporal processes, based on L\'{e}vy theory. We show the potential of the approach in stochastic geometry and spatial statistics by studying L\'{e}vy-based growth modelling of planar objects. The growth models considered are spatio-temporal stochastic processes on the circle. As a by product, flexible new models for space--time covariance functions on the circle are provided. An application of the L\'{e}vy-based growth models to tumour growth is discussed.
Keywords
Cite
@article{arxiv.0803.0860,
title = {L\'{e}vy-based growth models},
author = {Kristjana Ýr Jónsdóttir and Jürgen Schmiegel and Eva B. Vedel Jensen},
journal= {arXiv preprint arXiv:0803.0860},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.3150/07-BEJ6130 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)