most citedRandomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities

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math.ST2025

Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives

Sivaraman Balakrishnan, Tudor Manole, Larry Wasserman

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another i…

math.ST2023★ 2 cited

Randomized and Exchangeable Improvements of Markov's, Chebyshev's and Chernoff's Inequalities

Aaditya Ramdas, Tudor Manole

We present simple randomized and exchangeable improvements of Markov's inequality, as well as Chebyshev's inequality and Chernoff bounds. Our variants are never worse and typically…