Han, Qiyang; Kato, Kengo Berry-Esseen bounds for Chernoff-type nonstandard asymptotics in isotonic regression. (English) Zbl 07522879 Ann. Appl. Probab. 32, No. 2, 1459-1498 (2022). MSC: 62Jxx 62G05 60E15 PDFBibTeX XMLCite \textit{Q. Han} and \textit{K. Kato}, Ann. Appl. Probab. 32, No. 2, 1459--1498 (2022; Zbl 07522879) Full Text: DOI arXiv
Han, Qiyang; Sen, Bodhisattva; Shen, Yandi High-dimensional asymptotics of likelihood ratio tests in the Gaussian sequence model under convex constraints. (English) Zbl 1485.60038 Ann. Stat. 50, No. 1, 376-406 (2022). MSC: 60F17 62E17 PDFBibTeX XMLCite \textit{Q. Han} et al., Ann. Stat. 50, No. 1, 376--406 (2022; Zbl 1485.60038) Full Text: DOI
McDonald, Shaun; Campbell, David A review of uncertainty quantification for density estimation. (English) Zbl 1497.62086 Stat. Surv. 15, 1-71 (2021). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 62G07 62-02 PDFBibTeX XMLCite \textit{S. McDonald} and \textit{D. Campbell}, Stat. Surv. 15, 1--71 (2021; Zbl 1497.62086) Full Text: DOI
Durot, Cécile; Musta, Eni On the \(L_p\) error of the Grenander-type estimator in the Cox model. (English) Zbl 07778443 Stat. Neerl. 74, No. 4, 559-591 (2020). MSC: 62Gxx 62Nxx 62Mxx PDFBibTeX XMLCite \textit{C. Durot} and \textit{E. Musta}, Stat. Neerl. 74, No. 4, 559--591 (2020; Zbl 07778443) Full Text: DOI arXiv
Han, Qiyang; Zhang, Cun-Hui Limit distribution theory for block estimators in multiple isotonic regression. (English) Zbl 1466.62257 Ann. Stat. 48, No. 6, 3251-3282 (2020). Reviewer: Kévin Allan Sales Rodrigues (São Paulo) MSC: 62E20 60E15 62G05 62G08 62G20 PDFBibTeX XMLCite \textit{Q. Han} and \textit{C.-H. Zhang}, Ann. Stat. 48, No. 6, 3251--3282 (2020; Zbl 1466.62257) Full Text: DOI arXiv Euclid
Lopuhaä, Hendrik P.; Musta, Eni A central limit theorem for the Hellinger loss of Grenander-type estimators. (English) Zbl 07788773 Stat. Neerl. 73, No. 2, 180-196 (2019). MSC: 62Gxx 62Exx 62Fxx PDFBibTeX XMLCite \textit{H. P. Lopuhaä} and \textit{E. Musta}, Stat. Neerl. 73, No. 2, 180--196 (2019; Zbl 07788773) Full Text: DOI arXiv OA License
Bet, Gianmarco; van der Hofstad, Remco; van Leeuwaarden, Johan S. H. Heavy-traffic analysis through uniform acceleration of queues with diminishing populations. (English) Zbl 1437.60065 Math. Oper. Res. 44, No. 3, 821-864 (2019). MSC: 60K25 90B22 68M20 90B15 PDFBibTeX XMLCite \textit{G. Bet} et al., Math. Oper. Res. 44, No. 3, 821--864 (2019; Zbl 1437.60065) Full Text: DOI arXiv
Shi, Chengchun; Lu, Wenbin; Song, Rui A massive data framework for M-estimators with cubic-rate. (English) Zbl 1409.62105 J. Am. Stat. Assoc. 113, No. 524, 1698-1709 (2018). MSC: 62G35 62E20 62G20 PDFBibTeX XMLCite \textit{C. Shi} et al., J. Am. Stat. Assoc. 113, No. 524, 1698--1709 (2018; Zbl 1409.62105) Full Text: DOI arXiv Link
Durot, Cécile; Lopuhaä, Hendrik P. Limit theory in monotone function estimation. (English) Zbl 1407.62105 Stat. Sci. 33, No. 4, 547-567 (2018). MSC: 62G05 62G20 60F05 62N02 PDFBibTeX XMLCite \textit{C. Durot} and \textit{H. P. Lopuhaä}, Stat. Sci. 33, No. 4, 547--567 (2018; Zbl 1407.62105) Full Text: DOI Euclid
Groeneboom, Piet; Jongbloed, Geurt Some developments in the theory of shape constrained inference. (English) Zbl 1407.62108 Stat. Sci. 33, No. 4, 473-492 (2018). MSC: 62G05 62N01 PDFBibTeX XMLCite \textit{P. Groeneboom} and \textit{G. Jongbloed}, Stat. Sci. 33, No. 4, 473--492 (2018; Zbl 1407.62108) Full Text: DOI Euclid
Chan, Kwun Chuen Gary; Ling, Hok Kan; Sit, Tony; Yam, Sheung Chi Phillip Estimation of a monotone density in \(s\)-sample biased sampling models. (English) Zbl 1407.62117 Ann. Stat. 46, No. 5, 2125-2152 (2018). Reviewer: Frank Werner (Göttingen) MSC: 62G07 62G20 62E20 62G30 PDFBibTeX XMLCite \textit{K. C. G. Chan} et al., Ann. Stat. 46, No. 5, 2125--2152 (2018; Zbl 1407.62117) Full Text: DOI Euclid
Gao, Fuqing; Xiong, Jie; Zhao, Xingqiu Moderate deviations and nonparametric inference for monotone functions. (English) Zbl 1434.60087 Ann. Stat. 46, No. 3, 1225-1254 (2018). Reviewer: Ludwig Paditz (Dresden) MSC: 60F10 62G20 62G07 PDFBibTeX XMLCite \textit{F. Gao} et al., Ann. Stat. 46, No. 3, 1225--1254 (2018; Zbl 1434.60087) Full Text: DOI Euclid
Jankowski, Hanna Convergence of linear functionals of the Grenander estimator under misspecification. (English) Zbl 1302.62045 Ann. Stat. 42, No. 2, 625-653 (2014). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 62E20 62G20 62G07 PDFBibTeX XMLCite \textit{H. Jankowski}, Ann. Stat. 42, No. 2, 625--653 (2014; Zbl 1302.62045) Full Text: DOI arXiv Euclid
Durot, Cécile; Kulikov, Vladimir N.; Lopuhaä, Hendrik P. The limit distribution of the \(L_{\infty}\)-error of Grenander-type estimators. (English) Zbl 1257.62017 Ann. Stat. 40, No. 3, 1578-1608 (2012). MSC: 62E20 62G20 62G05 62G07 PDFBibTeX XMLCite \textit{C. Durot} et al., Ann. Stat. 40, No. 3, 1578--1608 (2012; Zbl 1257.62017) Full Text: DOI arXiv Euclid
Cator, Eric Adaptivity and optimality of the monotone least-squares estimator. (English) Zbl 1345.62066 Bernoulli 17, No. 2, 714-735 (2011). MSC: 62G08 62C20 62G05 PDFBibTeX XMLCite \textit{E. Cator}, Bernoulli 17, No. 2, 714--735 (2011; Zbl 1345.62066) Full Text: DOI Euclid
Tang, Runlong; Banerjee, Moulinath; Michailidis, George A two-stage hybrid procedure for estimating an inverse regression function. (English) Zbl 1215.62044 Ann. Stat. 39, No. 2, 956-989 (2011). MSC: 62G08 62G09 62G20 65C60 PDFBibTeX XMLCite \textit{R. Tang} et al., Ann. Stat. 39, No. 2, 956--989 (2011; Zbl 1215.62044) Full Text: DOI arXiv
Durot, C. Monotone nonparametric regression with random design. (English) Zbl 1231.62066 Math. Methods Stat. 17, No. 4, 327-341 (2008). MSC: 62G08 62G20 62N01 62M05 PDFBibTeX XMLCite \textit{C. Durot}, Math. Methods Stat. 17, No. 4, 327--341 (2008; Zbl 1231.62066) Full Text: DOI
Durot, Cécile On the \(\mathbb L_p\)-error of monotonicity constrained estimators. (English) Zbl 1129.62024 Ann. Stat. 35, No. 3, 1080-1104 (2007). MSC: 62G07 62G08 62G20 62N02 62N05 62G05 PDFBibTeX XMLCite \textit{C. Durot}, Ann. Stat. 35, No. 3, 1080--1104 (2007; Zbl 1129.62024) Full Text: DOI arXiv
Kulikov, Vladimir N.; Lopuhaä, Hendrik P. The limit process of the difference between the empirical distribution function and its concave majorant. (English) Zbl 1106.60034 Stat. Probab. Lett. 76, No. 16, 1781-1786 (2006). MSC: 60F05 62E20 62G30 PDFBibTeX XMLCite \textit{V. N. Kulikov} and \textit{H. P. Lopuhaä}, Stat. Probab. Lett. 76, No. 16, 1781--1786 (2006; Zbl 1106.60034) Full Text: DOI
Kulikov, Vladimir N.; Lopuhaä, Hendrik P. The behavior of the NPMLE of a decreasing density near the boundaries of the support. (English) Zbl 1092.62044 Ann. Stat. 34, No. 2, 742-768 (2006). MSC: 62G07 62E20 62G20 PDFBibTeX XMLCite \textit{V. N. Kulikov} and \textit{H. P. Lopuhaä}, Ann. Stat. 34, No. 2, 742--768 (2006; Zbl 1092.62044) Full Text: DOI arXiv
Kulikov, Vladimir N.; Lopuhaä, Hendrik P. Asymptotic normality of the \(L_k\)-error of the Grenander estimator. (English) Zbl 1086.62063 Ann. Stat. 33, No. 5, 2228-2255 (2005). MSC: 62G20 60F05 62G07 62E20 PDFBibTeX XMLCite \textit{V. N. Kulikov} and \textit{H. P. Lopuhaä}, Ann. Stat. 33, No. 5, 2228--2255 (2005; Zbl 1086.62063) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{L. Reboul}, Ann. Stat. 33, No. 3, 1330--1356 (2005; Zbl 1072.62023) Full Text: DOI arXiv
Walther, Guenther Multiscale maximum likelihood analysis of a semiparametric model, with applications. (English) Zbl 1043.62043 Ann. Stat. 29, No. 5, 1297-1319 (2001). MSC: 62G10 62N05 62F15 62G20 PDFBibTeX XMLCite \textit{G. Walther}, Ann. Stat. 29, No. 5, 1297--1319 (2001; Zbl 1043.62043) Full Text: DOI
Zhang, Rong; Kim, Jeankyung; Woodroofe, Michael Asymptotic analysis of isotonic estimation for grouped data. (English) Zbl 0978.62030 J. Stat. Plann. Inference 98, No. 1-2, 107-117 (2001). MSC: 62G07 62E20 62G20 PDFBibTeX XMLCite \textit{R. Zhang} et al., J. Stat. Plann. Inference 98, No. 1--2, 107--117 (2001; Zbl 0978.62030) Full Text: DOI
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 PDFBibTeX XMLCite \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