On the extendibility of partially and Markov exchangeable binary sequences

Davide Di Cecco

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arXiv · 0908.4158

On the extendibility of partially and Markov exchangeable binary sequences

Davide Di Cecco

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Abstract

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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Davide Di Cecco. 2009-10-06. On the extendibility of partially and Markov exchangeable binary sequences. https://arxiv.org/abs/0908.4158

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