Exchangeable lower previsions
Gert de Cooman, Erik Quaeghebeur, Enrique Miranda · Bernoulli · 2009
We extend de Finetti’s [Ann. Inst. H. Poincaré 7 (1937) 1–68] notion of exchangeability to finite and countable sequences of variables, when a subject’s beliefs about them are modelled using coherent lower previsions rather than (linear) previsions. We derive representation theorems in both the finite and countable cases, in terms of sampling without and with replacement, respectively.