- Volume 14, Number 1 (2008), 62-90.
Lévy-based growth models
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.
Bernoulli, Volume 14, Number 1 (2008), 62-90.
First available in Project Euclid: 8 February 2008
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Jónsdóttir, Kristjana Ýr; Schmiegel, Jürgen; Jensen, Eva B. Vedel. Lévy-based growth models. Bernoulli 14 (2008), no. 1, 62--90. doi:10.3150/07-BEJ6130. https://projecteuclid.org/euclid.bj/1202492785