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Sun, Zejun; Zheng, Guang-Hui Solving linear Bayesian inverse problems using a fractional total variation-Gaussian (FTG) prior and transport map. (English) Zbl 07800942 Comput. Stat. 38, No. 4, 1811-1849 (2023). MSC: 62-08 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{G.-H. Zheng}, Comput. Stat. 38, No. 4, 1811--1849 (2023; Zbl 07800942) Full Text: DOI arXiv
Lu, Zhentong; Shi, Xiaoxia; Tao, Jing Semi-nonparametric estimation of random coefficients logit model for aggregate demand. (English) Zbl 07704533 J. Econom. 235, No. 2, 2245-2265 (2023). MSC: 62-XX 91-XX PDFBibTeX XMLCite \textit{Z. Lu} et al., J. Econom. 235, No. 2, 2245--2265 (2023; Zbl 07704533) Full Text: DOI
Chen, Fan; Huang, Jianguo; Wang, Chunmei; Yang, Haizhao Friedrichs learning: weak solutions of partial differential equations via deep learning. (English) Zbl 07704383 SIAM J. Sci. Comput. 45, No. 3, A1271-A1299 (2023). MSC: 65M75 65N75 62M45 PDFBibTeX XMLCite \textit{F. Chen} et al., SIAM J. Sci. Comput. 45, No. 3, A1271--A1299 (2023; Zbl 07704383) Full Text: DOI arXiv
Altmeyer, Randolf; Cialenco, Igor; Pasemann, Gregor Parameter estimation for semilinear SPDEs from local measurements. (English) Zbl 07691571 Bernoulli 29, No. 3, 2035-2061 (2023). MSC: 60H15 62M10 65L09 35Q53 35K57 35R60 60F05 PDFBibTeX XMLCite \textit{R. Altmeyer} et al., Bernoulli 29, No. 3, 2035--2061 (2023; Zbl 07691571) Full Text: DOI arXiv Link
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Gloter, Arnaud; Yoshida, Nakahiro Adaptive estimation for degenerate diffusion processes. (English) Zbl 1471.62374 Electron. J. Stat. 15, No. 1, 1424-1472 (2021). MSC: 62H12 62F12 60J60 PDFBibTeX XMLCite \textit{A. Gloter} and \textit{N. Yoshida}, Electron. J. Stat. 15, No. 1, 1424--1472 (2021; Zbl 1471.62374) Full Text: DOI arXiv
Cheng, Jin; Zhang, Jiantang; Zhong, Min Extract the information from big data with randomly distributed noise. (English) Zbl 07379124 J. Inverse Ill-Posed Probl. 29, No. 4, 525-541 (2021). MSC: 47A52 65D25 62R07 PDFBibTeX XMLCite \textit{J. Cheng} et al., J. Inverse Ill-Posed Probl. 29, No. 4, 525--541 (2021; Zbl 07379124) Full Text: DOI arXiv
Hannukainen, Antti; Hyvönen, Nuutti; Perkkiö, Lauri Inverse heat source problem and experimental design for determining iron loss distribution. (English) Zbl 1477.65178 SIAM J. Sci. Comput. 43, No. 2, B243-B270 (2021). MSC: 65N21 65N30 80A23 62K05 35K20 62F15 78A55 PDFBibTeX XMLCite \textit{A. Hannukainen} et al., SIAM J. Sci. Comput. 43, No. 2, B243--B270 (2021; Zbl 1477.65178) Full Text: DOI arXiv
Chen, Yifan; Hou, Thomas Y. Function approximation via the subsampled Poincaré inequality. (English) Zbl 1458.35008 Discrete Contin. Dyn. Syst. 41, No. 1, 169-199 (2021). MSC: 35A23 41A44 65D05 65D07 62G05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{T. Y. Hou}, Discrete Contin. Dyn. Syst. 41, No. 1, 169--199 (2021; Zbl 1458.35008) Full Text: DOI arXiv
Ogihara, Teppei On the asymptotic properties of Bayes-type estimators with general loss functions. (English) Zbl 1421.62051 J. Stat. Plann. Inference 199, 136-150 (2019). MSC: 62G20 60J60 60J75 PDFBibTeX XMLCite \textit{T. Ogihara}, J. Stat. Plann. Inference 199, 136--150 (2019; Zbl 1421.62051) Full Text: DOI arXiv
Fuchs, Martin; Müller, Jan A higher order TV-type variational problem related to the denoising and inpainting of images. (English) Zbl 1358.49043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 122-147 (2017). MSC: 49Q20 49N60 49N15 94A08 62H35 PDFBibTeX XMLCite \textit{M. Fuchs} and \textit{J. Müller}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 122--147 (2017; Zbl 1358.49043) Full Text: DOI arXiv
Nieto-Reyes, Alicia; Battey, Heather A topologically valid definition of depth for functional data. (English) Zbl 1436.62720 Stat. Sci. 31, No. 1, 61-79 (2016). MSC: 62R10 62R40 62G35 62H12 PDFBibTeX XMLCite \textit{A. Nieto-Reyes} and \textit{H. Battey}, Stat. Sci. 31, No. 1, 61--79 (2016; Zbl 1436.62720) Full Text: DOI arXiv Euclid
Bildhauer, M.; Fuchs, M.; Müller, J.; Tietz, C. On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case. (English) Zbl 1382.49044 J. Elliptic Parabol. Equ. 2, No. 1-2, 341-355 (2016). MSC: 49N60 62H35 49K27 94A08 PDFBibTeX XMLCite \textit{M. Bildhauer} et al., J. Elliptic Parabol. Equ. 2, No. 1--2, 341--355 (2016; Zbl 1382.49044) Full Text: DOI arXiv
Amato, Umberto; Antoniadis, Anestis; De Feis, Italia Additive model selection. (English) Zbl 1359.62178 Stat. Methods Appl. 25, No. 4, 519-564 (2016). MSC: 62H12 62G08 62G10 PDFBibTeX XMLCite \textit{U. Amato} et al., Stat. Methods Appl. 25, No. 4, 519--564 (2016; Zbl 1359.62178) Full Text: DOI
Clausel, Marianne; Coeurjolly, Jean-François; Lelong, Jérôme Stein estimation of the intensity of a spatial homogeneous Poisson point process. (English) Zbl 1345.60045 Ann. Appl. Probab. 26, No. 3, 1495-1534 (2016). MSC: 60G55 62F10 60H07 60H05 PDFBibTeX XMLCite \textit{M. Clausel} et al., Ann. Appl. Probab. 26, No. 3, 1495--1534 (2016; Zbl 1345.60045) Full Text: DOI arXiv Euclid
Ogihara, Teppei Local asymptotic mixed normality property for nonsynchronously observed diffusion processes. (English) Zbl 1337.60194 Bernoulli 21, No. 4, 2024-2072 (2015). Reviewer: Vivek S. Borkar (Mumbai) MSC: 60J60 62F12 62M05 60H07 60H30 PDFBibTeX XMLCite \textit{T. Ogihara}, Bernoulli 21, No. 4, 2024--2072 (2015; Zbl 1337.60194) Full Text: DOI arXiv Euclid
Li, Ming; Wang, Yujiao; Ling, Leevan Numerical Caputo differentiation by radial basis functions. (English) Zbl 1309.62159 J. Sci. Comput. 62, No. 1, 300-315 (2015). MSC: 62M40 65D25 65F22 PDFBibTeX XMLCite \textit{M. Li} et al., J. Sci. Comput. 62, No. 1, 300--315 (2015; Zbl 1309.62159) Full Text: DOI
Hosseini-Nasab, S. Mohammad E. A modification of Silverman’s method for smoothed functional principal components analysis. (English) Zbl 1423.62055 J. Stat. Theory Pract. 8, No. 2, 400-413 (2014). MSC: 62H25 60H25 PDFBibTeX XMLCite \textit{S. M. E. Hosseini-Nasab}, J. Stat. Theory Pract. 8, No. 2, 400--413 (2014; Zbl 1423.62055) Full Text: DOI
Ogihara, Teppei; Yoshida, Nakahiro Quasi-likelihood analysis for nonsynchronously observed diffusion processes. (English) Zbl 1329.60283 Stochastic Processes Appl. 124, No. 9, 2954-3008 (2014). MSC: 60J60 60H10 62M05 60F10 PDFBibTeX XMLCite \textit{T. Ogihara} and \textit{N. Yoshida}, Stochastic Processes Appl. 124, No. 9, 2954--3008 (2014; Zbl 1329.60283) Full Text: DOI arXiv
Lukas, Mark A. Performance criteria and discrimination of extreme undersmoothing in nonparametric regression. (English) Zbl 1365.62141 J. Stat. Plann. Inference 153, 56-74 (2014). MSC: 62G08 62G07 PDFBibTeX XMLCite \textit{M. A. Lukas}, J. Stat. Plann. Inference 153, 56--74 (2014; Zbl 1365.62141) Full Text: DOI Link
Jin, Seoweon; Staniswalis, Joan G.; Mallawaarachchi, Indika Principal differential analysis with a continuous covariate: low-dimensional approximations for functional data. (English) Zbl 1453.62537 J. Stat. Comput. Simulation 83, No. 10, 1964-1980 (2013). MSC: 62H25 62G07 62R10 62-08 PDFBibTeX XMLCite \textit{S. Jin} et al., J. Stat. Comput. Simulation 83, No. 10, 1964--1980 (2013; Zbl 1453.62537) Full Text: DOI Link
Uchida, Masayuki; Yoshida, Nakahiro Quasi likelihood analysis of volatility and nondegeneracy of statistical random field. (English) Zbl 1284.62539 Stochastic Processes Appl. 123, No. 7, 2851-2876 (2013). MSC: 62M09 62M40 60F10 60J60 PDFBibTeX XMLCite \textit{M. Uchida} and \textit{N. Yoshida}, Stochastic Processes Appl. 123, No. 7, 2851--2876 (2013; Zbl 1284.62539) Full Text: DOI arXiv
Yoshida, Nakahiro Polynomial type large deviation inequalities and quasi-likelihood analysis for stochastic differential equations. (English) Zbl 1333.62224 Ann. Inst. Stat. Math. 63, No. 3, 431-479 (2011). MSC: 62M40 62M09 60F10 60H10 PDFBibTeX XMLCite \textit{N. Yoshida}, Ann. Inst. Stat. Math. 63, No. 3, 431--479 (2011; Zbl 1333.62224) Full Text: DOI
Shang, Zuofeng Convergence rate and Bahadur type representation of general smoothing spline M-estimates. (English) Zbl 1329.62201 Electron. J. Stat. 4, 1411-1442 (2010). MSC: 62G08 62G35 62G20 PDFBibTeX XMLCite \textit{Z. Shang}, Electron. J. Stat. 4, 1411--1442 (2010; Zbl 1329.62201) Full Text: DOI Euclid
Yuan, Ming; Cai, T. Tony A reproducing kernel Hilbert space approach to functional linear regression. (English) Zbl 1204.62074 Ann. Stat. 38, No. 6, 3412-3444 (2010). MSC: 62G08 62J05 46N30 62G20 62H25 65C60 PDFBibTeX XMLCite \textit{M. Yuan} and \textit{T. T. Cai}, Ann. Stat. 38, No. 6, 3412--3444 (2010; Zbl 1204.62074) Full Text: DOI arXiv
Dechevsky, Lubomir; MacGibbon, Brenda Asymptotically minimax non-parametric function estimation with positivity constraints. I. (English) Zbl 1282.62089 Statistics 43, No. 5, 423-442 (2009). MSC: 62G07 62G05 41A65 46B40 46B70 46E30 PDFBibTeX XMLCite \textit{L. Dechevsky} and \textit{B. MacGibbon}, Statistics 43, No. 5, 423--442 (2009; Zbl 1282.62089) Full Text: DOI
Horowitz, Joel L.; Mammen, Enno Rate-optimal estimation for a general class of nonparametric regression models with unknown link functions. (English) Zbl 1129.62034 Ann. Stat. 35, No. 6, 2589-2619 (2007). MSC: 62G08 62M45 62G20 PDFBibTeX XMLCite \textit{J. L. Horowitz} and \textit{E. Mammen}, Ann. Stat. 35, No. 6, 2589--2619 (2007; Zbl 1129.62034) Full Text: DOI arXiv Euclid
Chafaï, Djalil; Loubes, Jean-Michel On nonparametric maximum likelihood for a class of stochastic inverse problems. (English) Zbl 1090.62031 Stat. Probab. Lett. 76, No. 12, 1225-1237 (2006). MSC: 62G05 62G20 34K29 PDFBibTeX XMLCite \textit{D. Chafaï} and \textit{J.-M. Loubes}, Stat. Probab. Lett. 76, No. 12, 1225--1237 (2006; Zbl 1090.62031) Full Text: DOI arXiv
Scherzer, Otmar Taut-string algorithm and regularization programs with \(G\)-norm data fit. (English) Zbl 1452.62481 J. Math. Imaging Vis. 23, No. 2, 135-143 (2005). MSC: 62H35 62D05 65K10 68U10 94A08 PDFBibTeX XMLCite \textit{O. Scherzer}, J. Math. Imaging Vis. 23, No. 2, 135--143 (2005; Zbl 1452.62481) Full Text: DOI
Zeng, Donglin Likelihood approach for marginal proportional hazards regression in the presence of dependent censoring. (English) Zbl 1068.62100 Ann. Stat. 33, No. 2, 501-521 (2005). MSC: 62N01 62N02 62G07 62F12 PDFBibTeX XMLCite \textit{D. Zeng}, Ann. Stat. 33, No. 2, 501--521 (2005; Zbl 1068.62100) Full Text: DOI arXiv
Louani, Djamal Uniform \(L_1\)-distance large deviations in nonparametric density estimation. (English) Zbl 1069.62032 Test 14, No. 1, 75-98 (2005). MSC: 62G07 60F10 62G10 62G20 PDFBibTeX XMLCite \textit{D. Louani}, Test 14, No. 1, 75--98 (2005; Zbl 1069.62032) Full Text: DOI
Hallin, Marc; Paindaveine, Davy Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks. (English) Zbl 1101.62348 Ann. Stat. 30, No. 4, 1103-1133 (2002). MSC: 62H15 62G10 62F03 PDFBibTeX XMLCite \textit{M. Hallin} and \textit{D. Paindaveine}, Ann. Stat. 30, No. 4, 1103--1133 (2002; Zbl 1101.62348) Full Text: DOI Euclid
Mathé, Peter Hilbert space analysis of latin hypercube sampling. (English) Zbl 0966.65011 Proc. Am. Math. Soc. 129, No. 5, 1477-1492 (2001). Reviewer: Jaromir Antoch (Praha) MSC: 65C60 62D05 PDFBibTeX XMLCite \textit{P. Mathé}, Proc. Am. Math. Soc. 129, No. 5, 1477--1492 (2001; Zbl 0966.65011) Full Text: DOI
Eggermont, P. P. B.; LaRiccia, V. N. Optimal convergence rates for Good’s nonparametric maximum likelihood density estimator. (English) Zbl 0957.62039 Ann. Stat. 27, No. 5, 1600-1615 (1999). MSC: 62G20 62G07 PDFBibTeX XMLCite \textit{P. P. B. Eggermont} and \textit{V. N. LaRiccia}, Ann. Stat. 27, No. 5, 1600--1615 (1999; Zbl 0957.62039) Full Text: DOI
Massé, Jean-Claude Nonparametric maximum likelihood estimation in a non locally compact setting. (English) Zbl 0915.62019 Metrika 46, No. 2, 123-145 (1997). MSC: 62G05 62G20 46N30 PDFBibTeX XMLCite \textit{J.-C. Massé}, Metrika 46, No. 2, 123--145 (1997; Zbl 0915.62019) Full Text: DOI EuDML
Efromovich, Sam On nonparametric regression for iid observations in a general setting. (English) Zbl 0865.62025 Ann. Stat. 24, No. 3, 1126-1144 (1996). MSC: 62G07 62G20 62K05 62L12 PDFBibTeX XMLCite \textit{S. Efromovich}, Ann. Stat. 24, No. 3, 1126--1144 (1996; Zbl 0865.62025) Full Text: DOI
Silverman, Bernard W. Smoothed functional principal components analysis by choice of norm. (English) Zbl 0853.62044 Ann. Stat. 24, No. 1, 1-24 (1996). MSC: 62H25 62G07 92C10 PDFBibTeX XMLCite \textit{B. W. Silverman}, Ann. Stat. 24, No. 1, 1--24 (1996; Zbl 0853.62044) Full Text: DOI
Donald, Stephen G. Two-step estimation of heteroskedastic sample selection models. (English) Zbl 0814.62073 J. Econom. 65, No. 2, 347-380 (1995). MSC: 62P20 62G07 PDFBibTeX XMLCite \textit{S. G. Donald}, J. Econom. 65, No. 2, 347--380 (1995; Zbl 0814.62073) Full Text: DOI
Holmström, Lasse; Klemelä, Jussi Asymptotic bounds for the expected \(L^ 1\) error of a multivariate kernel density estimator. (English) Zbl 0754.62021 J. Multivariate Anal. 42, No. 2, 245-266 (1992). MSC: 62G07 62H12 PDFBibTeX XMLCite \textit{L. Holmström} and \textit{J. Klemelä}, J. Multivariate Anal. 42, No. 2, 245--266 (1992; Zbl 0754.62021) Full Text: DOI
Gallant, A. Ronald; Souza, Geraldo On the asymptotic normality of Fourier flexible form estimates. (English) Zbl 0792.62102 J. Econom. 50, No. 3, 329-353 (1991). Reviewer: R.Pérez (Oviedo) MSC: 62P20 62F12 62E20 91B42 PDFBibTeX XMLCite \textit{A. R. Gallant} and \textit{G. Souza}, J. Econom. 50, No. 3, 329--353 (1991; Zbl 0792.62102) Full Text: DOI Link
Hernández-Lerma, Onésimo; Cavazos-Cadena, Rolando Density estimation and adaptive control of Markov processes: Average and discounted criteria. (English) Zbl 0717.93066 Acta Appl. Math. 20, No. 3, 285-307 (1990). MSC: 93E20 62G05 90C40 93E10 PDFBibTeX XMLCite \textit{O. Hernández-Lerma} and \textit{R. Cavazos-Cadena}, Acta Appl. Math. 20, No. 3, 285--307 (1990; Zbl 0717.93066) Full Text: DOI
Antoniadis, Anestis A penalty method for nonparametric estimation of the intensity function of a counting process. (English) Zbl 0701.62050 Ann. Inst. Stat. Math. 41, No. 4, 781-807 (1989). MSC: 62G05 62M09 62G20 PDFBibTeX XMLCite \textit{A. Antoniadis}, Ann. Inst. Stat. Math. 41, No. 4, 781--807 (1989; Zbl 0701.62050) Full Text: DOI
Kasonga, R. A. The consistency of a nonlinear least squares estimator from diffusion processes. (English) Zbl 0662.62092 Stochastic Processes Appl. 30, No. 2, 263-275 (1988). Reviewer: A.Ya.Dorogovtsev MSC: 62M05 PDFBibTeX XMLCite \textit{R. A. Kasonga}, Stochastic Processes Appl. 30, No. 2, 263--275 (1988; Zbl 0662.62092) Full Text: DOI
Whitney, Paul Consistent least squares nonparametric regression. (English) Zbl 0624.62040 J. Stat. Plann. Inference 17, 137-148 (1987). MSC: 62G05 62J02 62J99 PDFBibTeX XMLCite \textit{P. Whitney}, J. Stat. Plann. Inference 17, 137--148 (1987; Zbl 0624.62040) Full Text: DOI
Cox, Dennis D. A penalty method for nonparametric estimation of the logarithmic derivative of a density function. (English) Zbl 0578.62041 Ann. Inst. Stat. Math. 37, 271-288 (1985). Reviewer: A.Berlinet MSC: 62G05 PDFBibTeX XMLCite \textit{D. D. Cox}, Ann. Inst. Stat. Math. 37, 271--288 (1985; Zbl 0578.62041)
Reiss, Rolf-Dieter Sharp rates of convergence of maximum likelihood estimators in nonparametric models. (English) Zbl 0508.62033 Z. Wahrscheinlichkeitstheor. Verw. Geb. 65, 473-482 (1984). MSC: 62G05 62G30 62E20 PDFBibTeX XMLCite \textit{R.-D. Reiss}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 65, 473--482 (1984; Zbl 0508.62033) Full Text: DOI