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February 2008 Lévy-based growth models
Kristjana Ýr Jónsdóttir, Jürgen Schmiegel, Eva B. Vedel Jensen
Bernoulli 14(1): 62-90 (February 2008). DOI: 10.3150/07-BEJ6130

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.

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Kristjana Ýr Jónsdóttir. Jürgen Schmiegel. Eva B. Vedel Jensen. "Lévy-based growth models." Bernoulli 14 (1) 62 - 90, February 2008. https://doi.org/10.3150/07-BEJ6130

Information

Published: February 2008
First available in Project Euclid: 8 February 2008

zbMATH: 1158.60349
MathSciNet: MR2401654
Digital Object Identifier: 10.3150/07-BEJ6130

Rights: Copyright © 2008 Bernoulli Society for Mathematical Statistics and Probability

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Vol.14 • No. 1 • February 2008
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