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- W4287977910 abstract "We establish several optimal moment comparison inequalities (Khinchin-type inequalities) for weighted sums of independent identically distributed symmetric discrete random variables which are uniform on sets of consecutive integers. Specifically, we obtain sharp constants for the second moment and any moment of order at least 3 (using convex dominance by Gaussian random variables). In the case of only 3 atoms, we also establish a Schur-convexity result. For moments of order less than 2, we get sharp constants in two cases by exploiting Haagerup's arguments for random signs." @default.
- W4287977910 created "2022-07-26" @default.
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- W4287977910 date "2019-12-31" @default.
- W4287977910 modified "2023-09-26" @default.
- W4287977910 title "Sharp Khinchin-type inequalities for symmetric discrete uniform random variables" @default.
- W4287977910 doi "https://doi.org/10.48550/arxiv.1912.13345" @default.
- W4287977910 hasPublicationYear "2019" @default.
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