De Finetti-type theorems for nonexchangeable 0–1 random variables

• Autores: Ricardo Vélez Ibarrola, Tomás Prieto Rumeau
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 20, Nº. 2, 2011, págs. 293-310
• Idioma: inglés
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• Resumen

  • We impose conditions on a family of 0–1 random variables ensuring that they verify a de Finetti-type theorem. More precisely, we assume that the 0–1 random variables are the indicator functions of a random selection process and, under fairly weak hypotheses (which, in particular, generalize the previously existing results), we prove that they verify a de Finetti theorem, though they might neither be exchangeable nor identically distributed.