Lévy-based growth models

Kristjana Ýr Jónsdóttir; Jürgen Schmiegel; Eva Bjørn Vedel Jensen

doi:10.3150/07-BEJ6130

Lévy-based growth models

Kristjana Ýr Jónsdóttir, Jürgen Schmiegel, Eva Bjørn Vedel Jensen

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

26 Citationer (Scopus)

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.

Originalsprog	Engelsk
Tidsskrift	Bernoulli
Vol/bind	14
Nummer	1
Sider (fra-til)	62-90
Antal sider	29
ISSN	1350-7265
DOI	https://doi.org/10.3150/07-BEJ6130
Status	Udgivet - 2008

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10.3150/07-BEJ6130

http://projecteuclid.org/euclid.bj/1202492785

Citationsformater

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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.",

author = "J{\'o}nsd{\'o}ttir, {Kristjana {\'Y}r} and J{\"u}rgen Schmiegel and Jensen, {Eva Bj{\o}rn Vedel}",

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AU - Jónsdóttir, Kristjana Ýr

AU - Schmiegel, Jürgen

AU - Jensen, Eva Bjørn Vedel

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PY - 2008

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AB - 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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DO - 10.3150/07-BEJ6130

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Lévy-based growth models

Abstract

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