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Showing 1 to 2 of 2 for “"Log-concave density estimation"”.
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Shape-Constrained Inference for Concave-Transformed Densities and their Modes
… constraints based on concavity. We consider log-concave densities and other “concave-transformed” densities on the real line, where a concave-transformed class is one given by applying a transformation (e.g. the logarithm or a power function) to concave functions. We expect our proofs and …
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Topics in shape-constrained inference
… regression and shape-constrained density estimation. In the second chapter, we investigate the adaptation properties of the log-concave maximum likelihood estimator of a multivariate log-concave density. Our main theoretical results demonstrate that in certain situations where the …