Summary
In an earlier paper [5], we defined a sufficient set of invariants for the isomorphy of discrete memoryless correlated sources with maximal correlation <1. Using the structure of isomorphisms of certain correlated probability spaces, we give here a sufficient set of invariants also for the case of maximal correlation equal to 1. We show, in particular, that two discrete memoryless stationary correlated sources with maximal correlation 1 may be isomorphic in a non-trivial way.
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Marton, K. Isomorphisms of certain correlated probability spaces and of discrete memoryless correlated sources. Probab. Th. Rel. Fields 75, 129–142 (1987). https://doi.org/10.1007/BF00320086
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DOI: https://doi.org/10.1007/BF00320086
Keywords
- Stochastic Process
- Probability Theory
- Statistical Theory
- Probability Space
- Early Paper