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

Ricardo Vélez Ibarrola, Tomás Prieto Rumeau

• 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.