On the extendibility of partially exchangeable random vectors

Marco Scarsini (1, 2) , Lorenzo Verdicchio

1 GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC
2 Dipartimento di Scienze Economiche e Aziendali

Von Plato (1991) has recently proposed a necessary condition for the infinite extendibility of a partially exchangeable {0, 1}-valued random vector. This paper will prove necessary conditions for the finite extendibility (of any order) of a partially exchangeable process of real-valued (not necessarily {0, 1}-valued) random variables. These conditions will be expressed in terms of the correlation of the random variables. The infinite extendibility condition will be obtained by passing to the limit.

Keywords: Exchangeability; partial exchangeability; extendibility de Finetti' s theorem

Domains: Humanities and Social Sciences; Economics and Finance; Economy and decision science

Marco Scarsini, Lorenzo Verdicchio. On the extendibility of partially exchangeable random vectors. Statistics and Probability Letters, 1993, Vol. 16, N°1, pp. 43-46. ⟨hal-00541952⟩