We study Hoeffding decomposable exchangeable sequences with values in a finite set D = {d1, . . . , dK}. We provide a new combinatorial characterization of Hoeffding decomposability and use this result to show that, for every K≥ 3, there exists a class of neither Polya nor i.i.d. D-valued exchangeable sequences that are Hoeffding decomposable.
Exchangeable Hoeffding-decomposition over finite sets: a characterization and counterexamples
PRUENSTER, IGOR
2014
Abstract
We study Hoeffding decomposable exchangeable sequences with values in a finite set D = {d1, . . . , dK}. We provide a new combinatorial characterization of Hoeffding decomposability and use this result to show that, for every K≥ 3, there exists a class of neither Polya nor i.i.d. D-valued exchangeable sequences that are Hoeffding decomposable.
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