Relative exchangeability with equivalence relations |
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Authors: | Harry Crane Henry Towsner |
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Institution: | 1.Department of Statistics and Biostatistics,Rutgers University,Piscataway,USA;2.Department of Mathematics,University of Pennsylvania,Philadelphia,USA |
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Abstract: | We describe an Aldous–Hoover-type characterization of random relational structures that are exchangeable relative to a fixed structure which may have various equivalence relations. Our main theorem gives the common generalization of the results on relative exchangeability due to Ackerman (Representations of \(\text {Aut}(\mathcal {M})\)-invariant measures: part I, 2015. arXiv:1509.06170) and Crane and Towsner (Relatively exchangeable structures, 2015) and hierarchical exchangeability results due to Austin and Panchenko (Probab Theory Relat Fields 159(3–4):809–823, 2014). |
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