Kuchibhotla, Arun K.; Patra, Rohit K. On least squares estimation under heteroscedastic and heavy-tailed errors. (English) Zbl 1486.62113 Ann. Stat. 50, No. 1, 277-302 (2022). MSC: 62G08 62G20 60E15 PDF BibTeX XML Cite \textit{A. K. Kuchibhotla} and \textit{R. K. Patra}, Ann. Stat. 50, No. 1, 277--302 (2022; Zbl 1486.62113) Full Text: DOI OpenURL
Foygel Barber, Rina; Samworth, Richard J. Local continuity of log-concave projection, with applications to estimation under model misspecification. (English) Zbl 1473.62105 Bernoulli 27, No. 4, 2437-2472 (2021). Reviewer: Ping Sun (Shenyang) MSC: 62G05 62H10 PDF BibTeX XML Cite \textit{R. Foygel Barber} and \textit{R. J. Samworth}, Bernoulli 27, No. 4, 2437--2472 (2021; Zbl 1473.62105) Full Text: DOI arXiv OpenURL
Shashiashvili, Malkhaz Nonasymptotic bounds for the quadratic risk of the Grenander estimator. (English) Zbl 1465.62143 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 464-472 (2021). MSC: 62M05 62G05 60E15 PDF BibTeX XML Cite \textit{M. Shashiashvili}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 2, 464--472 (2021; Zbl 1465.62143) Full Text: DOI OpenURL
Koenker, Roger; Gu, Jiaying Almost parametric smoothing. (English) Zbl 1458.62089 Trans. A. Razmadze Math. Inst. 174, No. 2, 189-197 (2020). MSC: 62G07 62G08 PDF BibTeX XML Cite \textit{R. Koenker} and \textit{J. Gu}, Trans. A. Razmadze Math. Inst. 174, No. 2, 189--197 (2020; Zbl 1458.62089) Full Text: Link OpenURL
Martin, Ryan Empirical priors and posterior concentration rates for a monotone density. (English) Zbl 1437.62132 Sankhyā, Ser. A 81, No. 2, 493-509 (2019). MSC: 62G07 62G30 62C20 PDF BibTeX XML Cite \textit{R. Martin}, Sankhyā, Ser. A 81, No. 2, 493--509 (2019; Zbl 1437.62132) Full Text: DOI arXiv OpenURL
Devroye, Luc; Reddad, Tommy Discrete minimax estimation with trees. (English) Zbl 1429.62126 Electron. J. Stat. 13, No. 2, 2595-2623 (2019). MSC: 62G07 PDF BibTeX XML Cite \textit{L. Devroye} and \textit{T. Reddad}, Electron. J. Stat. 13, No. 2, 2595--2623 (2019; Zbl 1429.62126) Full Text: DOI arXiv Euclid OpenURL
Samworth, Richard J. Recent progress in log-concave density estimation. (English) Zbl 1407.62126 Stat. Sci. 33, No. 4, 493-509 (2018). MSC: 62G07 62G05 62E10 PDF BibTeX XML Cite \textit{R. J. Samworth}, Stat. Sci. 33, No. 4, 493--509 (2018; Zbl 1407.62126) Full Text: DOI arXiv Euclid OpenURL
Samworth, Richard J. (ed.); Sen, Bodhisattva (ed.) Editorial: Special issue on “Nonparametric inference under shape constraints”. (English) Zbl 1407.00039 Stat. Sci. 33, No. 4, 469-472 (2018). MSC: 00B15 62-06 62G05 PDF BibTeX XML Cite \textit{R. J. Samworth} (ed.) and \textit{B. Sen} (ed.), Stat. Sci. 33, No. 4, 469--472 (2018; Zbl 1407.00039) Full Text: DOI Euclid OpenURL
Baraud, Y.; Birgé, L. Rho-estimators for shape restricted density estimation. (English) Zbl 1419.62070 Stochastic Processes Appl. 126, No. 12, 3888-3912 (2016). MSC: 62G07 62G35 PDF BibTeX XML Cite \textit{Y. Baraud} and \textit{L. Birgé}, Stochastic Processes Appl. 126, No. 12, 3888--3912 (2016; Zbl 1419.62070) Full Text: DOI OpenURL
Baraud, Yannick Bounding the expectation of the supremum of an empirical process over a (weak) VC-major class. (English) Zbl 1385.60038 Electron. J. Stat. 10, No. 2, 1709-1728 (2016). MSC: 60E15 62G05 PDF BibTeX XML Cite \textit{Y. Baraud}, Electron. J. Stat. 10, No. 2, 1709--1728 (2016; Zbl 1385.60038) Full Text: DOI arXiv Euclid OpenURL
Guntuboyina, Adityanand; Sen, Bodhisattva Global risk bounds and adaptation in univariate convex regression. (English) Zbl 1327.62255 Probab. Theory Relat. Fields 163, No. 1-2, 379-411 (2015). MSC: 62G08 62C20 PDF BibTeX XML Cite \textit{A. Guntuboyina} and \textit{B. Sen}, Probab. Theory Relat. Fields 163, No. 1--2, 379--411 (2015; Zbl 1327.62255) Full Text: DOI arXiv OpenURL
Chatterjee, Sabyasachi; Guntuboyina, Adityanand; Sen, Bodhisattva On risk bounds in isotonic and other shape restricted regression problems. (English) Zbl 1317.62032 Ann. Stat. 43, No. 4, 1774-1800 (2015). MSC: 62G08 62C20 PDF BibTeX XML Cite \textit{S. Chatterjee} et al., Ann. Stat. 43, No. 4, 1774--1800 (2015; Zbl 1317.62032) Full Text: DOI arXiv Euclid OpenURL
Pavlides, Marios G.; Wellner, Jon A. Nonparametric estimation of multivariate scale mixtures of uniform densities. (English) Zbl 1352.62049 J. Multivariate Anal. 107, 71-89 (2012). MSC: 62G05 62G07 62G20 62H12 PDF BibTeX XML Cite \textit{M. G. Pavlides} and \textit{J. A. Wellner}, J. Multivariate Anal. 107, 71--89 (2012; Zbl 1352.62049) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Cule} and \textit{R. Samworth}, Electron. J. Stat. 4, 254--270 (2010; Zbl 1329.62183) Full Text: DOI arXiv Euclid OpenURL
Dentcheva, Darinka; Penev, Spiridon Shape-restricted inference for Lorenz curves using duality theory. (English) Zbl 1181.62033 Stat. Probab. Lett. 80, No. 5-6, 403-412 (2010). MSC: 62G05 62G30 42C40 PDF BibTeX XML Cite \textit{D. Dentcheva} and \textit{S. Penev}, Stat. Probab. Lett. 80, No. 5--6, 403--412 (2010; Zbl 1181.62033) Full Text: DOI OpenURL
Gao, FuChang; Wellner, Jon A. On the rate of convergence of the maximum likelihood estimator of a \(k\)-monotone density. (English) Zbl 1176.62031 Sci. China, Ser. A 52, No. 7, 1525-1538 (2009). MSC: 62G07 62G20 46N30 PDF BibTeX XML Cite \textit{F. Gao} and \textit{J. A. Wellner}, Sci. China, Ser. A 52, No. 7, 1525--1538 (2009; Zbl 1176.62031) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{F. Balabdaoui} et al., Ann. Stat. 37, No. 3, 1299--1331 (2009; Zbl 1160.62008) Full Text: DOI arXiv OpenURL
Gao, Fuchang; Wellner, Jon A. Entropy estimate for high-dimensional monotonic functions. (English) Zbl 1221.62008 J. Multivariate Anal. 98, No. 9, 1751-1764 (2007). MSC: 62B10 62G05 62G20 PDF BibTeX XML Cite \textit{F. Gao} and \textit{J. A. Wellner}, J. Multivariate Anal. 98, No. 9, 1751--1764 (2007; Zbl 1221.62008) Full Text: DOI arXiv Link OpenURL
Reboul, L. Estimation of a function under shape restrictions. Applications to reliability. (English) Zbl 1072.62023 Ann. Stat. 33, No. 3, 1330-1356 (2005). MSC: 62G05 62G07 62M09 62N02 PDF BibTeX XML Cite \textit{L. Reboul}, Ann. Stat. 33, No. 3, 1330--1356 (2005; Zbl 1072.62023) Full Text: DOI arXiv OpenURL
Biau, Gérard; Devroye, Luc On the risk of estimates for block decreasing densities. (English) Zbl 1025.62015 J. Multivariate Anal. 86, No. 1, 143-165 (2003). MSC: 62G07 62H12 62C20 PDF BibTeX XML Cite \textit{G. Biau} and \textit{L. Devroye}, J. Multivariate Anal. 86, No. 1, 143--165 (2003; Zbl 1025.62015) Full Text: DOI OpenURL
Zhang, Cun-Hui Risk bounds in isotonic regression. (English) Zbl 1012.62045 Ann. Stat. 30, No. 2, 528-555 (2002). MSC: 62G08 62G20 62J02 PDF BibTeX XML Cite \textit{C.-H. Zhang}, Ann. Stat. 30, No. 2, 528--555 (2002; Zbl 1012.62045) Full Text: DOI OpenURL
Shoung, Jyh-Ming; Zhang, Cun-Hui Least squares estimators of the mode of a unimodal regression function. (English) Zbl 1012.62044 Ann. Stat. 29, No. 3, 648-665 (2001). MSC: 62G08 62G20 PDF BibTeX XML Cite \textit{J.-M. Shoung} and \textit{C.-H. Zhang}, Ann. Stat. 29, No. 3, 648--665 (2001; Zbl 1012.62044) Full Text: DOI OpenURL
Patilea, Valentin Convex models, MLE and misspecification. (English) Zbl 1029.62020 Ann. Stat. 29, No. 1, 94-123 (2001). MSC: 62F12 62G20 62G30 PDF BibTeX XML Cite \textit{V. Patilea}, Ann. Stat. 29, No. 1, 94--123 (2001; Zbl 1029.62020) Full Text: DOI OpenURL
Eggermont, P. P. B.; LaRiccia, V. N. Maximum likelihood estimation of smooth monotone and unimodal densities. (English) Zbl 1105.62332 Ann. Stat. 28, No. 3, 922-947 (2000). MSC: 62G07 62G20 PDF BibTeX XML Cite \textit{P. P. B. Eggermont} and \textit{V. N. LaRiccia}, Ann. Stat. 28, No. 3, 922--947 (2000; Zbl 1105.62332) Full Text: DOI Euclid OpenURL
van Es, Bert; Klaassen, Chris A. J.; Oudshoorn, Karin Survival analysis under cross-sectional sampling: length bias and multiplicative censoring. (English) Zbl 0969.62062 J. Stat. Plann. Inference 91, No. 2, 295-312 (2000). MSC: 62N02 62G05 62F12 62G07 62G20 46N30 62M09 PDF BibTeX XML Cite \textit{B. van Es} et al., J. Stat. Plann. Inference 91, No. 2, 295--312 (2000; Zbl 0969.62062) Full Text: DOI OpenURL
Rychlik, Tomasz Error reduction in density estimation under shape restrictions. (English) Zbl 0942.62041 Can. J. Stat. 27, No. 3, 607-622 (1999). MSC: 62G07 62G05 PDF BibTeX XML Cite \textit{T. Rychlik}, Can. J. Stat. 27, No. 3, 607--622 (1999; Zbl 0942.62041) Full Text: DOI Link OpenURL
Fougères, Anne-Laure Unimodal density estimation. (Estimation de densités unimodales.) (French) Zbl 0948.62023 Can. J. Stat. 25, No. 3, 375-387 (1997). MSC: 62G07 PDF BibTeX XML Cite \textit{A.-L. Fougères}, Can. J. Stat. 25, No. 3, 375--387 (1997; Zbl 0948.62023) Full Text: DOI OpenURL
Devroye, Luc; Lugosi, Gábor A universally acceptable smoothing factor for kernel density estimates. (English) Zbl 0867.62024 Ann. Stat. 24, No. 6, 2499-2512 (1996). MSC: 62G07 62G05 62G20 PDF BibTeX XML Cite \textit{L. Devroye} and \textit{G. Lugosi}, Ann. Stat. 24, No. 6, 2499--2512 (1996; Zbl 0867.62024) Full Text: DOI OpenURL
Datta, Somnath A minimax optimal estimator for continuous monotone densities. (English) Zbl 0833.62037 J. Stat. Plann. Inference 46, No. 2, 183-193 (1995). MSC: 62G07 PDF BibTeX XML Cite \textit{S. Datta}, J. Stat. Plann. Inference 46, No. 2, 183--193 (1995; Zbl 0833.62037) Full Text: DOI OpenURL
Birgé, Lucien; Massart, Pascal Rates of convergence for minimum contrast estimators. (English) Zbl 0805.62037 Probab. Theory Relat. Fields 97, No. 1-2, 113-150 (1993). Reviewer: M.Huškova (Praha) MSC: 62G05 62G20 62J02 PDF BibTeX XML Cite \textit{L. Birgé} and \textit{P. Massart}, Probab. Theory Relat. Fields 97, No. 1--2, 113--150 (1993; Zbl 0805.62037) Full Text: DOI OpenURL