TIME-REVERSIBILITY OF LINEAR STOCHASTIC PROCESSES.

Research output: Contribution to journalArticlepeer-review

Abstract

Time-reversibility is defined for a process X(t) as the property that left brace X(t//1),. . . , X(t//n) right brace and left brace X( minus t//1),. . . , X( minus t//n) right brace have the same joint probability distribution. It is shown that, for discrete mixed autoregressive moving-average processes, this is a unique property of Gaussian processes.

Original languageEnglish
Pages (from-to)831-836
Number of pages6
JournalJournal of Applied Probability
Volume12
Issue number4
DOIs
StatePublished - 1975

ASJC Scopus subject areas

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty

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