Sufficient conditions for the filtration of a stationary processes to be standard

DOI10.1007/S00440-016-0696-2zbMath1375.60076arXiv1110.5465OpenAlexW3104190805MaRDI QIDQ525103

Gaël Ceillier, Christophe Leuridan

Publication date: 28 April 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5465

zbMATH Keywords

filtrations of stationary processesgenerating parametrizationsglobal couplingsinfluence of the distant paststandard filtrations

Mathematics Subject Classification ID

Stationary stochastic processes (60G10)

Related Items (1)

Classification of backward filtrations and factor filtrations: examples from cellular automata

Cites Work

• The filtration of the split-words process
• Sufficient conditions of standardness for filtrations of stationary processes taking values in a finite space
• Stationary processes whose filtrations are standard
• Processes with no standard extension
• Processes with long memory: Regenerative construction and perfect simulation
• ${\bi T},{\bi T}^{\bf -1}$ is not standard
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