Consistency of multivariate log-concave density estimators

Statistics and Probability Letters

Volumn 80, Issue 5-6, 2010, Pages 376-380

  Schuhmacher, Dominic ^a   Dümbgen, Lutz ^a  

^a UNIVERSITY OF BERN   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 74849099592     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2009.11.013     Document Type: Article

References (5)

1. Cule, M., Samworth, R., Stewart, M., Maximum likelihood estimation of a multidimensional log-concave density. Available online at: http://arxiv.org/abs/0804.3989v1 (submitted for publication)
2. Dümbgen L., and Rufibach K. Maximum likelihood estimation of a log-concave density and its distribution function: Basic properties and uniform consistency. Bernoulli 15 1 (2009) 40-68
3. 2. Complex Datasets and Inverse Problems. IMS Lecture Notes Monogr. Ser., Inst. Math. Statist. vol. 54 (2007), Beachwood, OH 239-249
4. Schuhmacher, D., Hüsler, A., Dümbgen, L., Multivariate log-concave distributions as a nearly parametric model. Slightly extended version available online at: http://arxiv.org/abs/0907.0250v1 (submitted for publication)
5. van der Vaart A.W., and Wellner J.A. Weak Convergence and Empirical Processes. Springer Series in Statistics (1996), Springer-Verlag, New York