Lévy-based growth models
Kristjana Ýr Jónsdóttir, Jürgen Schmiegel, and Eva B. Vedel Jensen
Source: Bernoulli Volume 14, Number 1 (2008), 62-90.
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 Lévy theory. We show the potential of the approach in stochastic geometry and spatial statistics by studying Lévy-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 Lévy-based growth models to tumour growth is discussed.
Keywords: growth models; Lévy basis; spatio-temporal modelling; tumour growth
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bj/1202492785
Digital Object Identifier: doi:10.3150/07-BEJ6130
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