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Convex polyhedra of distributions preserved by operations over a finite field

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Abstract

We construct families of polyhedra in the space of probability distributions over a finite field, which are preserved, i.e., adding or multiplying independent random variables with distributions from the constructed set, the resulting distribution belongs to the same set.

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References

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Correspondence to A. D. Yashunskii.

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Original Russian Text © A.D. Yashunskii, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 4, pp. 54–58.

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Yashunskii, A.D. Convex polyhedra of distributions preserved by operations over a finite field. Moscow Univ. Math. Bull. 72, 165–168 (2017). https://doi.org/10.3103/S0027132217040052

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  • DOI: https://doi.org/10.3103/S0027132217040052

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