Displaying similar documents to “Uniqueness of a martingale-coboundary decomposition of stationary processes”

An alternative proof of the uniqueness of martingale-coboundary decomposition of strictly stationary processes

Takehiko Morita (2019)

Commentationes Mathematicae Universitatis Carolinae

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P. Samek and D. Volný, in the paper ``Uniqueness of a martingale-coboundary decomposition of a stationary processes" (1992), showed the uniqueness of martingale-coboundary decomposition of strictly stationary processes. The original proof is given by reducing the problem to the ergodic case. In this note we give another proof without such reduction.