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Variable-length coding of two-sided asymptotically mean stationary measures - MaRDI portal

Variable-length coding of two-sided asymptotically mean stationary measures (Q966513)

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Variable-length coding of two-sided asymptotically mean stationary measures
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    Variable-length coding of two-sided asymptotically mean stationary measures (English)
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    23 April 2010
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    The author, beginning with certain definitions a ``synchronizable injection'' and ``prefix (suffix, or fix) free'' for special classes of functions, gives sufficient conditions under which the variable-length coding and its inverse preserve asymptotic mean stationarity. Furthermore, it is provided a study for preservation of shift-invariant \(\sigma\)-fields and the finite-energy property along with their applications to constracting a stationary nonergodic process.
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    stationary measures
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    asymptotically mean stationary processes
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