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math.ST2013
Global Rates of Convergence of the MLEs of Log-concave and s-concave Densities
Charles R. Doss, Jon A. Wellner
We establish global rates of convergence for the Maximum Likelihood Estimators (MLEs) of log-concave and -concave densities on . The main finding is that the rate of…
math.ST2013
On the Hermite spline conjecture and its connection to k-monotone densities
Fadoua Balabdaoui, Simon Foucart, Jon A. Wellner
The k-monotone classes of densities defined on (0, \infty) have been known in the mathematical literature but were for the first time considered from a statistical point of view by…