4 problems
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Unimodality conjecture for the slGCM distribution
Let be a non-negative strongly convex drift function such that , and let the distribution denote the limiting distribution associated with the least co…
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Conjecture on the optimal normal-approximation rate for isotonic likelihood ratio tests
Optimal normal-approximation rate. The error rate
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Conjecture on the block max-min estimator's pivotal limit distribution
Let be the monotone regression function, let be the point of inference, and let be the block max-min estimator with associated block count…
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The lower- and upper-set obstacle conjecture for multivariate isotonic regression
Let denote the multivariate isotonic least squares estimator, and let . The estimator is computed using lower and upper sets in the optimization procedur…