Suppose the distributions {μn} on Θ obey a large deviation principle (LDP) and that for each θ ∈ Θ the distributions {Pn θ } on X also obey an LDP. The main purpose of this paper is to give conditions which allow an LDP for the mixtures {Pn}, given by Pn(A) = ∫ Pn θ (A)dμn(θ), to be deduced. The treatment follows that of Dinwoodie and Zabell (1992) who, motivated by exchangeability, consider th...