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Showing 1 to 2 of 2 for “"Shape-Constrained Density"”.
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Three essays on nonparametric estimation
The first essay describes a shape constrained density estimator, which, in terms of the assumptions on the functional form of the population density, can be viewed as a middle ground between fully nonparametric and fully parametric estimators. For example, typical constraints require the estimator …
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Topics in shape-constrained inference
… the field of nonparametric inference under shape constraints, focussing in particular on the topics of shape-restricted regression and shape-constrained density estimation. In the second chapter, we investigate the adaptation properties of the log-concave maximum likelihood estimator of a …