Hoeffding decompositions and two-colour urn sequences

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dc.creatorEl-Dakkak, Omar
dc.creatorPeccati, Giovanni
dc.date2006-10-19
dc.date2006-10-23
dc.date.accessioned2026-07-07T07:39:46Z
dc.date.available2026-07-07T07:39:46Z
dc.descriptionLet X be a non-deterministic infinite exchangeable sequence with values in {0,1}. We show that X is Hoeffding-decomposable if, and only if, X is either an i.i.d. sequence or a Polya sequence. This completes the results established in Peccati [2004]. The proof uses several combinatorial implications of the correspondence between Hoeffding decomposability and weak independence. Our results must be compared with previous characterizations of i.i.d. and Polya sequences given by Hill et al. [1987] and Diaconis and Yilvisaker [1979].
dc.description13 pages; some minor typographical improvements
dc.identifierhttps://arxiv.org/abs/math/0610590
dc.identifierhttp://arxiv.org/abs/math/0610590
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121577
dc.subjectProbability
dc.subject60G09, 60G99
dc.titleHoeffding decompositions and two-colour urn sequences
dc.typetext

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