A subclass of lattice conditional independence models is introduced. The new class of models is called totally ordered independence models. The class is based on an assumption that the index set which orders the random variables is a chain. It is shown that there is a jump in the chain if and only if there is a conditional independence relation. Some comparisons between the lattice conditional independence models and totally ordered independence models are presented.
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Published in Zapiski Nauchnykh Seminarov POMI, Vol. 501, 2021, pp. 102–117.
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Gauraha, N., von Rosen, D. Totally Ordered Conditional Independence Models. J Math Sci 273, 722–731 (2023). https://doi.org/10.1007/s10958-023-06535-6
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DOI: https://doi.org/10.1007/s10958-023-06535-6