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math.ST2009★ 1 cited
Estimation of a discrete monotone distribution
Hanna K. Jankowski, Jon A. Wellner
We study and compare three estimators of a discrete monotone distribution: (a) the (raw) empirical estimator; (b) the "method of rearrangements" estimator; and (c) the maximum like…
math.ST2009★ 3 cited
On the Grenander estimator at zero
Fadoua Balabdaoui, Hanna K. Jankowski, Marios Pavlides +2
We establish limit theory for the Grenander estimator of a monotone density near zero. In particular we consider the situation when the true density is unbounded at zero, wit…