Rastogi, Abhishake Nonlinear Tikhonov regularization in Hilbert scales for inverse learning. (English) Zbl 07820041 J. Complexity 82, Article ID 101824, 17 p. (2024). MSC: 62G20 62G08 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi}, J. Complexity 82, Article ID 101824, 17 p. (2024; Zbl 07820041) Full Text: DOI
Bogdanov, Stepan; Shepelsky, Dmitry; Vasylchenkova, Anastasiia; Sedov, Egor; Freire, Pedro J.; Turitsyn, Sergei K.; Prilepsky, Jaroslaw E. Phase computation for the finite-genus solutions to the focusing nonlinear Schrödinger equation using convolutional neural networks. (English) Zbl 1522.35458 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107311, 14 p. (2023). MSC: 35Q55 35Q41 35Q15 68T07 68T05 62F15 62C10 37K15 68W50 PDFBibTeX XMLCite \textit{S. Bogdanov} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107311, 14 p. (2023; Zbl 1522.35458) Full Text: DOI
Rastogi, Abhishake; Mathé, Peter Inverse learning in Hilbert scales. (English) Zbl 07730683 Mach. Learn. 112, No. 7, 2469-2499 (2023). MSC: 68T05 62G20 62G08 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi} and \textit{P. Mathé}, Mach. Learn. 112, No. 7, 2469--2499 (2023; Zbl 07730683) Full Text: DOI arXiv
Balogoun, Armando Sosthène Kali; Nkiet, Guy Martial; Ogouyandjou, Carlos A \(k\)-sample test for functional data based on generalized maximum mean discrepancy. (English) Zbl 07583987 Lith. Math. J. 62, No. 3, 289-303 (2022). MSC: 62G10 62G20 PDFBibTeX XMLCite \textit{A. S. K. Balogoun} et al., Lith. Math. J. 62, No. 3, 289--303 (2022; Zbl 07583987) Full Text: DOI
Balogoun, Armando S. K.; Nkiet, Guy M.; Ogouyandjou, Carlos Kernel based method for the \(k\)-sample problem with functional data. (English) Zbl 07571101 Commun. Stat., Theory Methods 51, No. 17, 5826-5849 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{A. S. K. Balogoun} et al., Commun. Stat., Theory Methods 51, No. 17, 5826--5849 (2022; Zbl 07571101) Full Text: DOI arXiv
Jiménez-Gamero, M. D.; Cousido-Rocha, M.; Alba-Fernández, M. V.; Jiménez-Jiménez, F. Testing the equality of a large number of populations. (English) Zbl 1484.62051 Test 31, No. 1, 1-21 (2022). MSC: 62G10 62G20 PDFBibTeX XMLCite \textit{M. D. Jiménez-Gamero} et al., Test 31, No. 1, 1--21 (2022; Zbl 1484.62051) Full Text: DOI
Lang, Quanjun; Lu, Fei Learning interaction kernels in mean-field equations of first-order systems of interacting particles. (English) Zbl 07471652 SIAM J. Sci. Comput. 44, No. 1, A260-A285 (2022). MSC: 68T05 35R30 70F17 62M99 PDFBibTeX XMLCite \textit{Q. Lang} and \textit{F. Lu}, SIAM J. Sci. Comput. 44, No. 1, A260--A285 (2022; Zbl 07471652) Full Text: DOI arXiv
Alexanderian, Alen Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: a review. (English) Zbl 1461.62129 Inverse Probl. 37, No. 4, Article ID 043001, 31 p. (2021). MSC: 62K05 62F15 46N10 35Q62 62-08 PDFBibTeX XMLCite \textit{A. Alexanderian}, Inverse Probl. 37, No. 4, Article ID 043001, 31 p. (2021; Zbl 1461.62129) Full Text: DOI arXiv
Balogoun, Armando Sosthène Kali; Nkiet, Guy Martial; Ogouyandjou, Carlos Asymptotic normality of a generalized maximum mean discrepancy estimator. (English) Zbl 1455.62050 Stat. Probab. Lett. 169, Article ID 108961, 8 p. (2021). MSC: 62E20 62R10 46E22 PDFBibTeX XMLCite \textit{A. S. K. Balogoun} et al., Stat. Probab. Lett. 169, Article ID 108961, 8 p. (2021; Zbl 1455.62050) Full Text: DOI arXiv
Gugushvili, Shota; van der Vaart, Aad; Yan, Dong Bayesian linear inverse problems in regularity scales. (English. French summary) Zbl 1460.62059 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 2081-2107 (2020). MSC: 62G20 62G07 60H40 35R30 PDFBibTeX XMLCite \textit{S. Gugushvili} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 2081--2107 (2020; Zbl 1460.62059) Full Text: DOI arXiv Euclid
Nychka, Douglas; Ma, Ping; Bates, Douglas A conversation with Grace Wahba. (English) Zbl 07292515 Stat. Sci. 35, No. 2, 308-320 (2020). MSC: 62-XX PDFBibTeX XMLCite \textit{D. Nychka} et al., Stat. Sci. 35, No. 2, 308--320 (2020; Zbl 07292515) Full Text: DOI Euclid
Rastogi, Abhishake; Blanchard, Gilles; Mathé, Peter Convergence analysis of Tikhonov regularization for non-linear statistical inverse problems. (English) Zbl 1473.65065 Electron. J. Stat. 14, No. 2, 2798-2841 (2020). MSC: 65J20 62G08 62G20 65J15 65Hxx 65J22 PDFBibTeX XMLCite \textit{A. Rastogi} et al., Electron. J. Stat. 14, No. 2, 2798--2841 (2020; Zbl 1473.65065) Full Text: DOI arXiv Euclid
Rastogi, Abhishake Tikhonov regularization with oversmoothing penalty for nonlinear statistical inverse problems. (English) Zbl 1442.62104 Commun. Pure Appl. Anal. 19, No. 8, 4111-4126 (2020). MSC: 62G20 62G08 62C20 46E22 65J15 65J20 65J22 PDFBibTeX XMLCite \textit{A. Rastogi}, Commun. Pure Appl. Anal. 19, No. 8, 4111--4126 (2020; Zbl 1442.62104) Full Text: DOI arXiv
Pricop-Jeckstadt, M. Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. (English) Zbl 1460.65061 Inverse Probl. Sci. Eng. 27, No. 2, 205-236 (2019). MSC: 65J22 62G08 47N20 PDFBibTeX XMLCite \textit{M. Pricop-Jeckstadt}, Inverse Probl. Sci. Eng. 27, No. 2, 205--236 (2019; Zbl 1460.65061) Full Text: DOI
Vapnik, V. N. Complete statistical theory of learning. (English. Russian original) Zbl 1436.62712 Autom. Remote Control 80, No. 11, 1949-1975 (2019); translation from Avtom. Telemekh. 2019, No. 11, 24-58 (2019). MSC: 62R07 68T05 46E22 PDFBibTeX XMLCite \textit{V. N. Vapnik}, Autom. Remote Control 80, No. 11, 1949--1975 (2019; Zbl 1436.62712); translation from Avtom. Telemekh. 2019, No. 11, 24--58 (2019) Full Text: DOI
Ye, Qi Kernel-based probability measures for generalized interpolations: a deterministic or stochastic problem? (English) Zbl 1433.62056 J. Math. Anal. Appl. 477, No. 1, 420-436 (2019). Reviewer: Thorsten Dickhaus (Berlin) MSC: 62E17 65D05 46E22 41A05 PDFBibTeX XMLCite \textit{Q. Ye}, J. Math. Anal. Appl. 477, No. 1, 420--436 (2019; Zbl 1433.62056) Full Text: DOI
Bongiorno, Enea G.; Goia, Aldo Describing the concentration of income populations by functional principal component analysis on Lorenz curves. (English) Zbl 1416.62321 J. Multivariate Anal. 170, 10-24 (2019). Reviewer: Denis Sidorov (Irkutsk) MSC: 62H25 62F12 62P20 PDFBibTeX XMLCite \textit{E. G. Bongiorno} and \textit{A. Goia}, J. Multivariate Anal. 170, 10--24 (2019; Zbl 1416.62321) Full Text: DOI
Vapnik, Vladimir; Izmailov, Rauf Rethinking statistical learning theory: learning using statistical invariants. (English) Zbl 1480.62064 Mach. Learn. 108, No. 3, 381-423 (2019). MSC: 62G05 62H30 68Q32 68T05 68T30 PDFBibTeX XMLCite \textit{V. Vapnik} and \textit{R. Izmailov}, Mach. Learn. 108, No. 3, 381--423 (2019; Zbl 1480.62064) Full Text: DOI
Monard, François; Nickl, Richard; Paternain, Gabriel P. Efficient nonparametric Bayesian inference for \(X\)-ray transforms. (English) Zbl 1417.62060 Ann. Stat. 47, No. 2, 1113-1147 (2019). MSC: 62G05 62F15 62G20 62P35 44A12 PDFBibTeX XMLCite \textit{F. Monard} et al., Ann. Stat. 47, No. 2, 1113--1147 (2019; Zbl 1417.62060) Full Text: DOI arXiv Euclid
Aguilar, Miguel Ángel Lozada; Khrennikov, Andrei; Oleschko, Klaudia From axiomatics of quantum probability to modelling geological uncertainty and management of intelligent hydrocarbon reservoirs with the theory of open quantum systems. (English) Zbl 1470.81012 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170225, 18 p. (2018). MSC: 81P10 62P30 86A04 86A32 81-02 86-02 PDFBibTeX XMLCite \textit{M. Á. L. Aguilar} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170225, 18 p. (2018; Zbl 1470.81012) Full Text: DOI
Blanchard, Gilles; Mücke, Nicole Optimal rates for regularization of statistical inverse learning problems. (English) Zbl 1412.62042 Found. Comput. Math. 18, No. 4, 971-1013 (2018). MSC: 62G08 62G20 65J22 68Q32 47B32 PDFBibTeX XMLCite \textit{G. Blanchard} and \textit{N. Mücke}, Found. Comput. Math. 18, No. 4, 971--1013 (2018; Zbl 1412.62042) Full Text: DOI arXiv
Sriperumbudur, Bharath; Fukumizu, Kenji; Gretton, Arthur; Hyvärinen, Aapo; Kumar, Revant Density estimation in infinite dimensional exponential families. (English) Zbl 1440.62125 J. Mach. Learn. Res. 18(2017-2018), Paper No. 57, 59 p. (2017). MSC: 62G07 46E22 PDFBibTeX XMLCite \textit{B. Sriperumbudur} et al., J. Mach. Learn. Res. 18, Paper No. 57, 59 p. (2017; Zbl 1440.62125) Full Text: arXiv Link
Svane, Anne Marie Valuations in image analysis. (English) Zbl 1366.62125 Vedel Jensen, Eva B. (ed.) et al., Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014. Cham: Springer (ISBN 978-3-319-51950-0/pbk; 978-3-319-51951-7/ebook). Lecture Notes in Mathematics 2177, 435-454 (2017). MSC: 62H35 52B45 PDFBibTeX XMLCite \textit{A. M. Svane}, Lect. Notes Math. 2177, 435--454 (2017; Zbl 1366.62125) Full Text: DOI Link
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 PDFBibTeX XMLCite \textit{P. Deift}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017; Zbl 1375.37160) Full Text: DOI arXiv
Dieuleveut, Aymeric; Bach, Francis Nonparametric stochastic approximation with large step-sizes. (English) Zbl 1346.60041 Ann. Stat. 44, No. 4, 1363-1399 (2016). MSC: 60F99 62G08 46E22 65C60 PDFBibTeX XMLCite \textit{A. Dieuleveut} and \textit{F. Bach}, Ann. Stat. 44, No. 4, 1363--1399 (2016; Zbl 1346.60041) Full Text: DOI arXiv Euclid
Ruiz-Medina, M. D.; Anh, V. V.; Espejo, R. M.; Angulo, J. M.; Frías, M. P. Least-squares estimation of multifractional random fields in a Hilbert-valued context. (English) Zbl 1342.60079 J. Optim. Theory Appl. 167, No. 3, 888-911 (2015). MSC: 60G60 60G22 62M09 46E22 47G30 35S05 PDFBibTeX XMLCite \textit{M. D. Ruiz-Medina} et al., J. Optim. Theory Appl. 167, No. 3, 888--911 (2015; Zbl 1342.60079) Full Text: DOI
Vapnik, Vladimir; Izmailov, Rauf \(V\)-matrix method of solving statistical inference problems. (English) Zbl 1351.62086 J. Mach. Learn. Res. 16, 1683-1730 (2015). MSC: 62G05 45B05 62H30 68T05 PDFBibTeX XMLCite \textit{V. Vapnik} and \textit{R. Izmailov}, J. Mach. Learn. Res. 16, 1683--1730 (2015; Zbl 1351.62086) Full Text: Link
Bertola, Marco; Bothner, Thomas Universality conjecture and results for a model of several coupled positive-definite matrices. (English) Zbl 1318.15018 Commun. Math. Phys. 337, No. 3, 1077-1141 (2015). Reviewer: Hans Havlicek (Wien) MSC: 15B48 82B20 33C60 62H20 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{T. Bothner}, Commun. Math. Phys. 337, No. 3, 1077--1141 (2015; Zbl 1318.15018) Full Text: DOI arXiv
Chakraborty, Anirvan; Chaudhuri, Probal A Wilcoxon-Mann-Whitney-type test for infinite-dimensional data. (English) Zbl 1345.62083 Biometrika 102, No. 1, 239-246 (2015). MSC: 62H15 62G10 62J05 PDFBibTeX XMLCite \textit{A. Chakraborty} and \textit{P. Chaudhuri}, Biometrika 102, No. 1, 239--246 (2015; Zbl 1345.62083) Full Text: DOI arXiv
Ludwig, Monika Covariance matrices and valuations. (English) Zbl 1303.62016 Adv. Appl. Math. 51, No. 3, 359-366 (2013). Reviewer: Alexander Esterov (Moscow) MSC: 62B10 46A40 15B52 52A20 52B45 62H15 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Appl. Math. 51, No. 3, 359--366 (2013; Zbl 1303.62016) Full Text: DOI
Kuriki, Satoshi; Miwa, Tetsuhisa; Hayter, Anthony J. Abstract tubes associated with perturbed polyhedra with applications to multidimensional normal probability computations. (English) Zbl 1338.62058 Hibi, Takayuki (ed.), Harmony of Gröbner bases and the modern industrial society. Proceedings of the second CREST-SBM international conference, Osaka, Japan, June 28 – July 2, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4383-45-5/hbk; 978-981-4452-94-6/ebook). 169-183 (2012). MSC: 62E15 52B45 60D05 65C60 PDFBibTeX XMLCite \textit{S. Kuriki} et al., in: Harmony of Gröbner bases and the modern industrial society. Proceedings of the second CREST-SBM international conference, Osaka, Japan, June 28 -- July 2, 2010. Hackensack, NJ: World Scientific. 169--183 (2012; Zbl 1338.62058) Full Text: DOI arXiv
Crambes, Christophe; Gannoun, Ali; Henchiri, Yousri Weak consistency of the support vector machine quantile regression approach when covariates are functions. (English) Zbl 1225.62050 Stat. Probab. Lett. 81, No. 12, 1847-1858 (2011). MSC: 62G08 62G20 68T05 62H99 PDFBibTeX XMLCite \textit{C. Crambes} et al., Stat. Probab. Lett. 81, No. 12, 1847--1858 (2011; Zbl 1225.62050) Full Text: DOI
Ludwig, Monika Fisher information and matrix-valued valuations. (English) Zbl 1274.62064 Adv. Math. 226, No. 3, 2700-2711 (2011). MSC: 62B10 46E35 52A20 52B45 94A17 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 226, No. 3, 2700--2711 (2011; Zbl 1274.62064) Full Text: DOI
Grasmair, Markus Generalized Bregman distances and convergence rates for non-convex regularization methods. (English) Zbl 1228.65086 Inverse Probl. 26, No. 11, Article ID 115014, 16 p. (2010). Reviewer: Robert Plato (Siegen) MSC: 65J20 60H40 62H12 65J10 65J22 47A52 PDFBibTeX XMLCite \textit{M. Grasmair}, Inverse Probl. 26, No. 11, Article ID 115014, 16 p. (2010; Zbl 1228.65086) Full Text: DOI Link
Mo, M. Y. Universality in complex Wishart ensembles for general covariance matrices with 2 distinct eigenvalues. (English) Zbl 1189.15045 J. Multivariate Anal. 101, No. 5, 1203-1225 (2010). Reviewer: Václav Burjan (Praha) MSC: 15B52 60F15 62J10 15A18 PDFBibTeX XMLCite \textit{M. Y. Mo}, J. Multivariate Anal. 101, No. 5, 1203--1225 (2010; Zbl 1189.15045) Full Text: DOI
Cardot, Hervé; Johannes, Jan Thresholding projection estimators in functional linear models. (English) Zbl 1178.62032 J. Multivariate Anal. 101, No. 2, 395-408 (2010). MSC: 62G08 62G20 62J05 PDFBibTeX XMLCite \textit{H. Cardot} and \textit{J. Johannes}, J. Multivariate Anal. 101, No. 2, 395--408 (2010; Zbl 1178.62032) Full Text: DOI arXiv
Wasilkowski, G. W.; Woźniakowski, H. A survey of average case complexity for linear multivariate problems. (English) Zbl 1298.62127 Russ. Math. 53, No. 4, 1-14 (2009) and Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 4, 3-19 (2009). MSC: 62J12 41A65 60B11 60J65 PDFBibTeX XMLCite \textit{G. W. Wasilkowski} and \textit{H. Woźniakowski}, Russ. Math. 53, No. 4, 1--14 (2009; Zbl 1298.62127) Full Text: DOI
Kucerovsky, Dan; Marchand, Eric; Najafabadi, Amir T. Payandeh; Strawderman, William E. On the Bayesianity of maximum likelihood estimators of restricted location parameters under absolute value error loss. (English) Zbl 1274.62169 Stat. Decis. 27, No. 2, 145-168 (2009). MSC: 62F10 62F30 62C10 35Q15 45B05 42A99 62C15 PDFBibTeX XMLCite \textit{D. Kucerovsky} et al., Stat. Decis. 27, No. 2, 145--168 (2009; Zbl 1274.62169) Full Text: DOI
Takemura, Akimichi; Yoshida, Ruriko A generalization of the integer linear infeasibility problem. (English) Zbl 1192.90128 Discrete Optim. 5, No. 1, 36-52 (2008). MSC: 90C10 62H17 20M14 PDFBibTeX XMLCite \textit{A. Takemura} and \textit{R. Yoshida}, Discrete Optim. 5, No. 1, 36--52 (2008; Zbl 1192.90128) Full Text: DOI arXiv
Laukaitis, A. An empirical study for the estimation of autoregressive Hilbertian processes by wavelet packet method. (English) Zbl 1144.62337 Nonlinear Anal., Model. Control 12, No. 1, 65-75 (2007). MSC: 62M09 65T60 46N30 62M10 PDFBibTeX XMLCite \textit{A. Laukaitis}, Nonlinear Anal., Model. Control 12, No. 1, 65--75 (2007; Zbl 1144.62337)
Smale, Steve; Zhou, Ding-Xuan Learning theory estimates via integral operators and their approximations. (English) Zbl 1127.68088 Constructive Approximation 26, No. 2, 153-172 (2007). MSC: 68T05 94A20 42B10 46E22 62H30 PDFBibTeX XMLCite \textit{S. Smale} and \textit{D.-X. Zhou}, Constr. Approx. 26, No. 2, 153--172 (2007; Zbl 1127.68088) Full Text: DOI
Mas, André Weak convergence in the functional autoregressive model. (English) Zbl 1118.60016 J. Multivariate Anal. 98, No. 6, 1231-1261 (2007). MSC: 60F05 62G20 62M20 PDFBibTeX XMLCite \textit{A. Mas}, J. Multivariate Anal. 98, No. 6, 1231--1261 (2007; Zbl 1118.60016) Full Text: DOI arXiv
Annaby, M. H.; Bustoz, J.; Ismail, M. E. H. On sampling theory and basic Sturm-Liouville systems. (English) Zbl 1128.39014 J. Comput. Appl. Math. 206, No. 1, 73-85 (2007). Reviewer: Pavel Rehak (Brno) MSC: 39A13 34B24 47B39 39A12 39A70 44A15 62D05 PDFBibTeX XMLCite \textit{M. H. Annaby} et al., J. Comput. Appl. Math. 206, No. 1, 73--85 (2007; Zbl 1128.39014) Full Text: DOI
Cardot, Hervé; Sarda, Pacal Estimation in generalized linear models for functional data via penalized likelihood. (English) Zbl 1065.62127 J. Multivariate Anal. 92, No. 1, 24-41 (2005). MSC: 62J12 62G08 62G20 PDFBibTeX XMLCite \textit{H. Cardot} and \textit{P. Sarda}, J. Multivariate Anal. 92, No. 1, 24--41 (2005; Zbl 1065.62127) Full Text: DOI
He, Guozhong; Müller, Hans-Georg; Wang, Jane-Ling Functional canonical analysis for square integrable stochastic processes. (English) Zbl 1014.62070 J. Multivariate Anal. 85, No. 1, 54-77 (2003). MSC: 62H20 62M99 62G08 PDFBibTeX XMLCite \textit{G. He} et al., J. Multivariate Anal. 85, No. 1, 54--77 (2003; Zbl 1014.62070) Full Text: DOI
Tsuji, Miki Identification of density distribution with time parameter. (English) Zbl 0949.65008 Gilbert, Robert P. (ed.) et al., Recent developments in complex analysis and computer algebra. Papers presented in special sessions of the ISAAC ’97 congress, Newark, DE, June 2-7, 1997. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 4, 311-322 (1999). MSC: 65C60 62E17 65R32 65R10 44A15 PDFBibTeX XMLCite \textit{M. Tsuji}, Int. Soc. Anal. Appl. Comput. 4, 311--322 (1999; Zbl 0949.65008)
Rukhin, Andrew L. Change-point estimation: Linear statistics and asymptotic Bayes risk. (English) Zbl 0884.62028 Math. Methods Stat. 5, No. 4, 424-442 (1996). MSC: 62F12 62C10 62E20 62F15 47G10 PDFBibTeX XMLCite \textit{A. L. Rukhin}, Math. Methods Stat. 5, No. 4, 424--442 (1996; Zbl 0884.62028)
Ruymgaart, Frits H. A unified approach to inversion problems in statistics. (English) Zbl 0798.62010 Math. Methods Stat. 2, No. 2, 130-146 (1993). MSC: 62A01 47N30 47A10 PDFBibTeX XMLCite \textit{F. H. Ruymgaart}, Math. Methods Stat. 2, No. 2, 130--146 (1993; Zbl 0798.62010)
Gu, Chong Interaction splines with regular data: Automatically smoothing digital images. (English) Zbl 0770.65002 SIAM J. Sci. Comput. 14, No. 1, 218-230 (1993). Reviewer: M.A.Noor (Riyadh) MSC: 65D07 65D10 65C99 62J05 65K05 PDFBibTeX XMLCite \textit{C. Gu}, SIAM J. Sci. Comput. 14, No. 1, 218--230 (1993; Zbl 0770.65002) Full Text: DOI
van der Linde, Angelika A note on smoothing splines as Bayesian estimates. (English) Zbl 0798.62038 Stat. Decis. 11, No. 1, 61-67 (1993). Reviewer: A.V.Nagaev (Tashkent) MSC: 62F15 62F99 62J02 PDFBibTeX XMLCite \textit{A. van der Linde}, Stat. Decis. 11, No. 1, 61--67 (1993; Zbl 0798.62038)
Carroll, R. J.; van Rooij, A. C. M.; Ruymgaart, F. H. Theoretical aspects of ill-posed problems in statistics. (English) Zbl 0753.62022 Acta Appl. Math. 24, No. 2, 113-140 (1991). MSC: 62G07 62G05 65J10 PDFBibTeX XMLCite \textit{R. J. Carroll} et al., Acta Appl. Math. 24, No. 2, 113--140 (1991; Zbl 0753.62022) Full Text: DOI
Jonca, Andrzej Prediction bands for ill-posed problems. (English) Zbl 0703.65031 Computation and control, Proc. Conf., Bozeman/MT 1988, Prog. Syst. Control Theory 1, 145-154 (1989). Reviewer: C.W.Groetsch MSC: 65J10 65J20 47A50 62F25 PDFBibTeX XML
Michálek, J. Detection of changes in a simple regression model of a random process. (English) Zbl 0698.62090 Probl. Control Inf. Theory 18, No. 5, 289-309 (1989). MSC: 62M10 62M09 PDFBibTeX XMLCite \textit{J. Michálek}, Probl. Control Inf. Theory 18, No. 5, 289--309 (1989; Zbl 0698.62090)
Sunder, V. S. N subspaces. (English) Zbl 0656.46017 Can. J. Math. 40, No. 1, 38-54 (1988). Reviewer: M.Stoll MSC: 46C99 62H20 PDFBibTeX XMLCite \textit{V. S. Sunder}, Can. J. Math. 40, No. 1, 38--54 (1988; Zbl 0656.46017) Full Text: DOI
Nakamura, Yoshimasa Riemann-Hilbert factorization, formal loop group, and linear prediction problem. (English) Zbl 0614.62121 Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci. 11, 1-7 (1987). Reviewer: M.P.Mokljacuk MSC: 62M20 60G25 60G35 15A23 PDFBibTeX XMLCite \textit{Y. Nakamura}, Sci. Rep. Fac. Educ., Gifu Univ., Nat. Sci. 11, 1--7 (1987; Zbl 0614.62121)
Villalobos, Miguel; Wahba, Grace Inequality-constrained multivariate smoothing splines with application to the estimation of posterior probabilities. (English) Zbl 0614.62047 J. Am. Stat. Assoc. 82, 239-248 (1987). MSC: 62G05 65D07 65C99 62H99 PDFBibTeX XMLCite \textit{M. Villalobos} and \textit{G. Wahba}, J. Am. Stat. Assoc. 82, 239--248 (1987; Zbl 0614.62047) Full Text: DOI
Peiris, M. Shelton On prediction with time dependent ARMA models. (English) Zbl 0614.62122 Commun. Stat., Theory Methods 15, 3659-3668 (1986). Reviewer: M.P.Mokljacuk MSC: 62M20 60G25 93E10 93E11 60G35 PDFBibTeX XMLCite \textit{M. S. Peiris}, Commun. Stat., Theory Methods 15, 3659--3668 (1986; Zbl 0614.62122) Full Text: DOI
Wertz, W. Recursive and sequential density estimation. (English) Zbl 0662.62086 Sequential methods in statistics, Banach Cent. Publ. 16, 515-544 (1985). MSC: 62L12 62G05 PDFBibTeX XML
Baker, C. R.; Gualtierotti, A. F. Detection of non-Gaussian signals in Gaussian noise. (English) Zbl 0558.60039 Statistical signal processing, Stat., Textbooks Monogr. 53, 107-116 (1984). MSC: 60G35 60G30 62M99 PDFBibTeX XML
Jørgensen, Palle E. T. An optimal spectral estimator for multi-dimensional time series with an infinite number of sample points. (English) Zbl 0477.62077 Prepr. Ser., Aarhus Univ. 26, 30 p. (1982). MSC: 62M15 62M10 43A75 PDFBibTeX XML
Basistov, Yu. A. Tikhonov regularization of the hypothesis testing problem under uncertainty. (English. Russian original) Zbl 0488.62030 Autom. Remote Control 42, 1173-1182 (1982); translation from Avtom. Telemekh. 1981, No. 9, 49-59 (1981). MSC: 62G10 62C99 62J99 PDFBibTeX XMLCite \textit{Yu. A. Basistov}, Autom. Remote Control 42, 1173--1182 (1981; Zbl 0488.62030); translation from Avtom. Telemekh. 1981, No. 9, 49--59 (1981)
Sidhu, Gursharan S.; Weinert, Howard L. Vector-valued Lg-splines. I: Interpolating splines. (English) Zbl 0435.65007 J. Math. Anal. Appl. 70, 505-529 (1979). MSC: 65D07 68W99 30C40 62M09 41A15 PDFBibTeX XMLCite \textit{G. S. Sidhu} and \textit{H. L. Weinert}, J. Math. Anal. Appl. 70, 505--529 (1979; Zbl 0435.65007) Full Text: DOI
Mosca, Edoardo Weaker conditions for innovations informational equivalence in the independent Gaussian case. (English) Zbl 0415.60046 IEEE Trans. Autom. Control 24, 63-69 (1979). MSC: 60G35 60G15 62M20 93E11 PDFBibTeX XMLCite \textit{E. Mosca}, IEEE Trans. Autom. Control 24, 63--69 (1979; Zbl 0415.60046) Full Text: DOI
Ferenstein, Elzbieta The modified least-squares method of the infinite dimensional parameter estimation. (English) Zbl 0404.62058 Demonstr. Math. 11, 1139-1153 (1978). MSC: 62M09 62J99 62J05 46C99 PDFBibTeX XMLCite \textit{E. Ferenstein}, Demonstr. Math. 11, 1139--1153 (1978; Zbl 0404.62058) Full Text: DOI