T. Daras, "Trajectories of exchangeable sequences: Large and moderate deviations results", Stat. Probab. Lett., vol. 39, no. 4, pp. 289-304, Aug. 1998. doi:10.1016/S0167-7152(98)00025-X
https://doi.org/10.1016/S0167-7152(98)00025-X
In this paper we prove large and moderate deviations for the distribution of the trajectories of a sequence of r.v.'s w.r.t. a measure which is the mixture of certain sequences of p.m.'s. These results give large and moderate deviations for the trajectories of an exchangeable sequence.