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On the extendibility of partially exchangeable random vectors

Author

Listed:
  • Marco Scarsini

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique, Dipartimento di Scienze Economiche e Aziendali - LUISS - Libera Università Internazionale degli Studi Sociali Guido Carli [Roma])

  • Lorenzo Verdicchio

Abstract

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.

Suggested Citation

  • Marco Scarsini & Lorenzo Verdicchio, 1993. "On the extendibility of partially exchangeable random vectors," Post-Print hal-00541952, HAL.
  • Handle: RePEc:hal:journl:hal-00541952
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    Cited by:

    1. Mohammadpour, Adel & Soltani, A. Reza, 2004. "On simulating exchangeable sub-Gaussian random vectors," Statistics & Probability Letters, Elsevier, vol. 69(1), pages 29-36, August.

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