Ergodic properties of max-infinitely divisible processes

Kabluchko, Zakhar ; Schlather, Martin

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Document Type: Article
Year of publication: 2010
The title of a journal, publication series: Stochastic Processes and Their Applications
Volume: 120
Issue number: 3
Page range: 281-295
Place of publication: Amsterdam [u.a.]
Publishing house: Elsevier
ISSN: 0304-4149
Publication language: English
Institution: School of Business Informatics and Mathematics > Applied Stochastics (Schlather 2012-)
Subject: 510 Mathematics
Keywords (English): Max-infinitely divisible processes, Max-stable processes, Ergodicity, Mixing, Codifference
Abstract: We prove that a stationary max-infinitely divisible process is mixing (ergodic) iff its dependence function converges to 0 (is Cesaro summable to 0). These criteria are applied to some classes of max-infinitely divisible processes.

Dieser Datensatz wurde nicht während einer Tätigkeit an der Universität Mannheim veröffentlicht, dies ist eine Externe Publikation.

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