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Deng, Hang; Han, Qiyang; Sen, Bodhisattva Inference for local parameters in convexity constrained models. (English) Zbl 07784941 J. Am. Stat. Assoc. 118, No. 544, 2721-2735 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{H. Deng} et al., J. Am. Stat. Assoc. 118, No. 544, 2721--2735 (2023; Zbl 07784941) Full Text: DOI arXiv
Chen, Xi; Chernozhukov, Victor; Fernandez-Val, Ivan; Kostyshak, Scott; Luo, Ye Shape-enforcing operators for generic point and interval estimators of functions. (English) Zbl 07626735 J. Mach. Learn. Res. 22, Paper No. 220, 42 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Mach. Learn. Res. 22, Paper No. 220, 42 p. (2021; Zbl 07626735) Full Text: arXiv Link
Deng, Hang; Han, Qiyang; Zhang, Cun-Hui Confidence intervals for multiple isotonic regression and other monotone models. (English) Zbl 1478.62104 Ann. Stat. 49, No. 4, 2021-2052 (2021). MSC: 62G15 62E20 62G05 62G08 PDFBibTeX XMLCite \textit{H. Deng} et al., Ann. Stat. 49, No. 4, 2021--2052 (2021; Zbl 1478.62104) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \textit{R. Foygel Barber} and \textit{R. J. Samworth}, Bernoulli 27, No. 4, 2437--2472 (2021; Zbl 1473.62105) Full Text: DOI arXiv
Mizera, Ivan A remark on the Grenander estimator. (English) Zbl 1455.62077 Maciak, Matúš (ed.) et al., Analytical methods in statistics. AMISTAT. Proceedings of the workshop, Liberec, Czech Republic, September 16–19, 2019. Cham: Springer. Springer Proc. Math. Stat. 329, 89-99 (2020). MSC: 62G07 62B10 PDFBibTeX XMLCite \textit{I. Mizera}, Springer Proc. Math. Stat. 329, 89--99 (2020; Zbl 1455.62077) Full Text: DOI
Royset, Johannes O.; Wets, Roger J-B. Variational analysis of constrained M-estimators. (English) Zbl 1460.62067 Ann. Stat. 48, No. 5, 2759-2790 (2020). Reviewer: Kurt Marti (München) MSC: 62G35 62G07 62H12 PDFBibTeX XMLCite \textit{J. O. Royset} and \textit{R. J B. Wets}, Ann. Stat. 48, No. 5, 2759--2790 (2020; Zbl 1460.62067) Full Text: DOI arXiv Euclid
Omey, Edward; Cadena, Meitner New results on slowly varying functions in the Zygmund sense. (English) Zbl 1443.26002 Proc. Japan Acad., Ser. A 96, No. 6, 45-49 (2020). Reviewer: İbrahim Çanak (İzmir) MSC: 26A12 28A10 45M05 60G70 PDFBibTeX XMLCite \textit{E. Omey} and \textit{M. Cadena}, Proc. Japan Acad., Ser. A 96, No. 6, 45--49 (2020; Zbl 1443.26002) Full Text: DOI Euclid
Lim, Eunji The limiting behavior of isotonic and convex regression estimators when the model is misspecified. (English) Zbl 1476.62075 Electron. J. Stat. 14, No. 1, 2053-2097 (2020). Reviewer: Catalin Stoean (Craiova) MSC: 62G08 62G20 62G10 PDFBibTeX XMLCite \textit{E. Lim}, Electron. J. Stat. 14, No. 1, 2053--2097 (2020; Zbl 1476.62075) Full Text: DOI Euclid
Doss, Charles R. Bracketing numbers of convex and \(m\)-monotone functions on polytopes. (English) Zbl 1439.52009 J. Approx. Theory 256, Article ID 105425, 32 p. (2020). MSC: 52A41 41A46 52A27 52B11 52C17 62G20 PDFBibTeX XMLCite \textit{C. R. Doss}, J. Approx. Theory 256, Article ID 105425, 32 p. (2020; Zbl 1439.52009) Full Text: DOI arXiv
Doss, Charles R.; Wellner, Jon A. Inference for the mode of a log-concave density. (English) Zbl 1439.62098 Ann. Stat. 47, No. 5, 2950-2976 (2019). Reviewer: Martin Wendler (Greifswald) MSC: 62G07 62G15 62G10 62G20 60F05 62P20 PDFBibTeX XMLCite \textit{C. R. Doss} and \textit{J. A. Wellner}, Ann. Stat. 47, No. 5, 2950--2976 (2019; Zbl 1439.62098) Full Text: DOI arXiv Euclid
Koenker, Roger; Mizera, Ivan Shape constrained density estimation via penalized Rényi divergence. (English) Zbl 1407.62121 Stat. Sci. 33, No. 4, 510-526 (2018). MSC: 62G07 62G05 62E10 PDFBibTeX XMLCite \textit{R. Koenker} and \textit{I. Mizera}, Stat. Sci. 33, No. 4, 510--526 (2018; Zbl 1407.62121) Full Text: DOI Euclid
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 PDFBibTeX XMLCite \textit{R. J. Samworth}, Stat. Sci. 33, No. 4, 493--509 (2018; Zbl 1407.62126) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \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
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
Bagheri, S. F.; Alizadeh, M.; Nadarajah, S. Efficient estimation of the PDF and the CDF of the exponentiated Gumbel distribution. (English) Zbl 1341.62073 Commun. Stat., Simulation Comput. 45, No. 1, 339-361 (2016). MSC: 62F10 PDFBibTeX XMLCite \textit{S. F. Bagheri} et al., Commun. Stat., Simulation Comput. 45, No. 1, 339--361 (2016; Zbl 1341.62073) Full Text: DOI
Royset, Johannes O.; Wets, Roger J.-B. Fusion of hard and soft information in nonparametric density estimation. (English) Zbl 1346.62072 Eur. J. Oper. Res. 247, No. 2, 532-547 (2015). MSC: 62G07 PDFBibTeX XMLCite \textit{J. O. Royset} and \textit{R. J. B. Wets}, Eur. J. Oper. Res. 247, No. 2, 532--547 (2015; Zbl 1346.62072) Full Text: DOI
Wong, Ting-Kam Leonard Optimization of relative arbitrage. (English) Zbl 1369.91168 Ann. Finance 11, No. 3-4, 345-382 (2015). MSC: 91G10 62G07 PDFBibTeX XMLCite \textit{T.-K. L. Wong}, Ann. Finance 11, No. 3--4, 345--382 (2015; Zbl 1369.91168) Full Text: DOI arXiv
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
Koenker, Roger; Mizera, Ivan Convex optimization, shape constraints, compound decisions, and empirical Bayes rules. (English) Zbl 1367.62020 J. Am. Stat. Assoc. 109, No. 506, 674-685 (2014). MSC: 62C12 62G07 PDFBibTeX XMLCite \textit{R. Koenker} and \textit{I. Mizera}, J. Am. Stat. Assoc. 109, No. 506, 674--685 (2014; Zbl 1367.62020) Full Text: DOI
Todorov, Viktor; Tauchen, George Inverse realized Laplace transforms for nonparametric volatility density estimation in jump-diffusions. (English) Zbl 1261.62032 J. Am. Stat. Assoc. 107, No. 498, 622-635 (2012). MSC: 62G07 62P05 60G48 65C05 PDFBibTeX XMLCite \textit{V. Todorov} and \textit{G. Tauchen}, J. Am. Stat. Assoc. 107, No. 498, 622--635 (2012; Zbl 1261.62032) Full Text: DOI
Dümbgen, Lutz; Samworth, Richard; Schuhmacher, Dominic Approximation by log-concave distributions, with applications to regression. (English) Zbl 1216.62023 Ann. Stat. 39, No. 2, 702-730 (2011). MSC: 62E17 62G07 62G08 62H12 62J05 PDFBibTeX XMLCite \textit{L. Dümbgen} et al., Ann. Stat. 39, No. 2, 702--730 (2011; Zbl 1216.62023) Full Text: DOI arXiv
Cule, Madeleine; Samworth, Richard; Stewart, Michael [Rufibach, Kaspar; Delaigle, Aurore; Zhang, Wenyang; Li, Jialiang; Gopal, Vikneswaran; Casella, George; Xue, Jing-Hao; Titterington, D. M.; Lu, Kevin; Young, Alastair; Stone, Mervyn; Xia, Yingcun; Tong, Howell; Cheng, Ming-Yen; Hall, Peter; Wellner, Jon; Seregin, Arseni; Koenker, Roger; Mizera, Ivan; Anagnostopoulos, Christoforos; Böhning, Dankmar; Wang, Yong; Chacón, José E.; Chen, Yining; Critchley, Frank; Dannemann, Jörn; Munk, Axel; Draper, David; Hazelton, Martin L.; Jang, Woncheol; Lim, Johan; Jankowski, Hanna K.; Kypraios, Theodore; Preston, Simon P.; White, Simon R.; Leng, Chenlei; Jeon, Yongho; Schuhmacher, Dominic; Walther, Guenther] Maximum likelihood estimation of a multi-dimensional log-concave density. With discussion and authors’ reply. (English) Zbl 1411.62055 J. R. Stat. Soc., Ser. B, Stat. Methodol. 72, No. 5, 545-607 (2010). MSC: 62F10 62G07 90C25 62-02 PDFBibTeX XMLCite \textit{M. Cule} et al., J. R. Stat. Soc., Ser. B, Stat. Methodol. 72, No. 5, 545--607 (2010; Zbl 1411.62055) Full Text: DOI arXiv
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
Walther, Guenther Inference and modeling with log-concave distributions. (English) Zbl 1329.62192 Stat. Sci. 24, No. 3, 319-327 (2009). MSC: 62G07 PDFBibTeX XMLCite \textit{G. Walther}, Stat. Sci. 24, No. 3, 319--327 (2009; Zbl 1329.62192) Full Text: DOI arXiv Euclid