3 problems
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Wellner's conjecture on the limiting variance of the Grenander estimator's Hellinger loss
Wellner's conjecture. The limiting variance in the central limit theorem for the Hellinger loss of Grenander's estimator does not depend on the underlying monotone density…
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The variational supremum conjecture for the Grenander estimator
Variational supremum conjecture.
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Curvature-effect conjecture for local Grenander-estimator convergence
Curvature-effect conjecture. The observed difference in the convergence behavior is caused by the presence or absence of a strictly curved region of .