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Strong stationarity and de Finetti’s theorem

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Abstract

We show that for ergodic processes,strong stationarity, a property which in general is weaker that that ofexchangeability (both properties defined below), implies that the process is in fact i.i.d.

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References

  1. B. de Finetti,La prévision: ses lois logiques, ses sources subjectives, Ann. Inst. H. Poincaré7 (1937), 1–68.

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  3. H. Furstenberg and Y. Katznelson,An ergodic Szemerédi theorem for IP-systems and combinatorial theory, J. Analyse Math.45 (1985), 117–168.

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Jenvey, E. Strong stationarity and de Finetti’s theorem. J. Anal. Math. 73, 1–18 (1997). https://doi.org/10.1007/BF02788136

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  • DOI: https://doi.org/10.1007/BF02788136

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