Doss, Charles R.; Wellner, Jon A. Univariate log-concave density estimation with symmetry or modal constraints. (English) Zbl 1422.62137 Electron. J. Stat. 13, No. 2, 2391-2461 (2019). MSC: 62G07 62G05 62G20 PDFBibTeX XMLCite \textit{C. R. Doss} and \textit{J. A. Wellner}, Electron. J. Stat. 13, No. 2, 2391--2461 (2019; Zbl 1422.62137) Full Text: DOI arXiv Euclid
Kim, Arlene K. H.; Guntuboyina, Adityanand; Samworth, Richard J. Adaptation in log-concave density estimation. (English) Zbl 1408.62062 Ann. Stat. 46, No. 5, 2279-2306 (2018). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{A. K. H. Kim} et al., Ann. Stat. 46, No. 5, 2279--2306 (2018; Zbl 1408.62062) Full Text: DOI arXiv Euclid
Dümbgen, Lutz; Kolesnyk, Petro; Wilke, Ralf A. Bi-log-concave distribution functions. (English) Zbl 1356.62062 J. Stat. Plann. Inference 184, 1-17 (2017). MSC: 62G15 62G20 62G30 PDFBibTeX XMLCite \textit{L. Dümbgen} et al., J. Stat. Plann. Inference 184, 1--17 (2017; Zbl 1356.62062) Full Text: DOI arXiv
Han, Qiyang; Wellner, Jon A. Approximation and estimation of \(s\)-concave densities via Rényi divergences. (English) Zbl 1338.62105 Ann. Stat. 44, No. 3, 1332-1359 (2016). MSC: 62G07 62H12 62G05 62G20 PDFBibTeX XMLCite \textit{Q. Han} and \textit{J. A. Wellner}, Ann. Stat. 44, No. 3, 1332--1359 (2016; Zbl 1338.62105) Full Text: DOI arXiv Euclid
Doss, Charles R.; Wellner, Jon A. Global rates of convergence of the MLEs of log-concave and \(s\)-concave densities. (English) Zbl 1338.62101 Ann. Stat. 44, No. 3, 954-981 (2016). MSC: 62G07 62G05 62G20 PDFBibTeX XMLCite \textit{C. R. Doss} and \textit{J. A. Wellner}, Ann. Stat. 44, No. 3, 954--981 (2016; Zbl 1338.62101) Full Text: DOI arXiv Euclid
Chen, Yining Semiparametric time series models with log-concave innovations: maximum likelihood estimation and its consistency. (English) Zbl 1378.62061 Scand. J. Stat. 42, No. 1, 1-31 (2015). MSC: 62M10 62G32 62G20 PDFBibTeX XMLCite \textit{Y. Chen}, Scand. J. Stat. 42, No. 1, 1--31 (2015; Zbl 1378.62061) Full Text: DOI arXiv Link
Balabdaoui, Fadoua Global convergence of the log-concave MLE when the true distribution is geometric. (English) Zbl 1359.62139 J. Nonparametric Stat. 26, No. 1, 21-59 (2014). MSC: 62G10 62G20 PDFBibTeX XMLCite \textit{F. Balabdaoui}, J. Nonparametric Stat. 26, No. 1, 21--59 (2014; Zbl 1359.62139) Full Text: DOI
Guntuboyina, Adityanand Optimal rates of convergence for convex set estimation from support functions. (English) Zbl 1246.62085 Ann. Stat. 40, No. 1, 385-411 (2012). MSC: 62G05 62G20 52A20 PDFBibTeX XMLCite \textit{A. Guntuboyina}, Ann. Stat. 40, No. 1, 385--411 (2012; Zbl 1246.62085) Full Text: DOI arXiv Euclid
Meyer, Mary C. Nonparametric estimation of a smooth density with shape restrictions. (English) Zbl 1238.62043 Stat. Sin. 22, No. 2, 681-701 (2012). MSC: 62G07 62G08 62G20 65C60 65D07 PDFBibTeX XMLCite \textit{M. C. Meyer}, Stat. Sin. 22, No. 2, 681--701 (2012; Zbl 1238.62043) Full Text: DOI Link
Cule, Madeleine; Samworth, Richard Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density. (English) Zbl 1329.62183 Electron. J. Stat. 4, 254-270 (2010). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{M. Cule} and \textit{R. Samworth}, Electron. J. Stat. 4, 254--270 (2010; Zbl 1329.62183) Full Text: DOI arXiv Euclid
Seregin, Arseni; Wellner, Jon A. Nonparametric estimation of multivariate convex-transformed densities. (English) Zbl 1204.62058 Ann. Stat. 38, No. 6, 3751-3781 (2010). MSC: 62G07 62H12 62G05 62G20 PDFBibTeX XMLCite \textit{A. Seregin} and \textit{J. A. Wellner}, Ann. Stat. 38, No. 6, 3751--3781 (2010; Zbl 1204.62058) Full Text: DOI arXiv
Koenker, Roger; Mizera, Ivan Quasi-concave density estimation. (English) Zbl 1200.62031 Ann. Stat. 38, No. 5, 2998-3027 (2010). MSC: 62G07 62H12 90C25 62B10 62G20 PDFBibTeX XMLCite \textit{R. Koenker} and \textit{I. Mizera}, Ann. Stat. 38, No. 5, 2998--3027 (2010; Zbl 1200.62031) Full Text: DOI arXiv
Schuhmacher, Dominic; Dümbgen, Lutz Consistency of multivariate log-concave density estimators. (English) Zbl 1181.62048 Stat. Probab. Lett. 80, No. 5-6, 376-380 (2010). MSC: 62G07 62G20 62G05 PDFBibTeX XMLCite \textit{D. Schuhmacher} and \textit{L. Dümbgen}, Stat. Probab. Lett. 80, No. 5--6, 376--380 (2010; Zbl 1181.62048) Full Text: DOI
Groeneboom, Piet; Jongbloed, Geurt; Witte, Birgit I. Maximum smoothed likelihood estimation and smoothed maximum likelihood estimation in the current status model. (English) Zbl 1181.62157 Ann. Stat. 38, No. 1, 352-387 (2010). MSC: 62N02 62G07 62E20 62G05 62N01 62G20 PDFBibTeX XMLCite \textit{P. Groeneboom} et al., Ann. Stat. 38, No. 1, 352--387 (2010; Zbl 1181.62157) Full Text: DOI arXiv
Dümbgen, Lutz; Rufibach, Kaspar Maximum likelihood estimation of a log-concave density and its distribution function: basic properties and uniform consistency. (English) Zbl 1200.62030 Bernoulli 15, No. 1, 40-68 (2009). MSC: 62G07 62G20 62N02 PDFBibTeX XMLCite \textit{L. Dümbgen} and \textit{K. Rufibach}, Bernoulli 15, No. 1, 40--68 (2009; Zbl 1200.62030) Full Text: DOI arXiv
Birke, Melanie Shape constrained kernel density estimation. (English) Zbl 1162.62026 J. Stat. Plann. Inference 139, No. 8, 2851-2862 (2009). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{M. Birke}, J. Stat. Plann. Inference 139, No. 8, 2851--2862 (2009; Zbl 1162.62026) Full Text: DOI
Balabdaoui, Fadoua; Rufibach, Kaspar; Wellner, Jon A. Limit distribution theory for maximum likelihood estimation of a log-concave density. (English) Zbl 1160.62008 Ann. Stat. 37, No. 3, 1299-1331 (2009). MSC: 62E20 62G07 62G20 62M99 62G05 PDFBibTeX XMLCite \textit{F. Balabdaoui} et al., Ann. Stat. 37, No. 3, 1299--1331 (2009; Zbl 1160.62008) Full Text: DOI arXiv
Giné, Evarist; Nickl, Richard An exponential inequality for the distribution function of the kernel density estimator, with applications to adaptive estimation. (English) Zbl 1160.62032 Probab. Theory Relat. Fields 143, No. 3-4, 569-596 (2009). MSC: 62G07 60E15 62G20 60F05 PDFBibTeX XMLCite \textit{E. Giné} and \textit{R. Nickl}, Probab. Theory Relat. Fields 143, No. 3--4, 569--596 (2009; Zbl 1160.62032) Full Text: DOI