On the extendibility of partially and Markov exchangeable binary sequences

Details On the extendibility of partially and Markov exchangeable binary sequences On the extendibility of partially and Markov exchangeable binary sequences

2009-08-28

arxiv.org/abs/0908.4158v2

Mathematics

Probability

24 pages. v2: Added Table 1. The polytopes are not simplicial as formerly stated. Minor corrections

Scientific paper

In [Fortini et al., Stoch. Proc. Appl. 100 (2002), 147--165] it is demonstrated that a recurrent Markov exchangeable process in the sense of Diaconis and Freedman is essentially a partially exchangeable process in the sense of de Finetti. In case of finite sequences there is not such an equivalence. We analyze both finite partially exchangeable and finite Markov exchangeable binary sequences and formulate necessary and sufficient conditions for extendibility in both cases.

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