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
2014-01-01

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.
2014
131
51
64
http://www.journals.elsevier.com/journal-of-multivariate-analysis/
Exchangeability; Hoeffding decomposition; Polya urn
O. El-Dakkak; G. Peccati; I. Pruenster
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/144722
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