Quang, Minh Hà Riemannian distances between covariance operators and Gaussian processes. (English) Zbl 1444.62167 Aneiros, Germán (ed.) et al., Functional and high-dimensional statistics and related fields. Selected papers presented at the 5th international workshop on functional and operatorial statistics, IWFOS 2021, Brno, Czech Republic, June 23–25, 2021. Cham: Springer. Contrib. Stat., 177-185 (2020). MSC: 62R10 62R30 62J10 60G15 47B02 PDFBibTeX XMLCite \textit{M. H. Quang}, in: Functional and high-dimensional statistics and related fields. Selected papers presented at the 5th international workshop on functional and operatorial statistics, IWFOS 2021, Brno, Czech Republic, June 23--25, 2021. Cham: Springer. 177--185 (2020; Zbl 1444.62167) Full Text: DOI
Zheng, Xinghua; Ma, Zhengming; Che, Hangjian; Li, Lei HSIC regularized LTSA. (English) Zbl 07654770 Comput. Inform. 38, No. 4, 917-936 (2019). MSC: 62-XX PDFBibTeX XMLCite \textit{X. Zheng} et al., Comput. Inform. 38, No. 4, 917--936 (2019; Zbl 07654770) Full Text: DOI
Minh, Hà Quang A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators. (English) Zbl 1458.62138 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 475-483 (2019). MSC: 62H99 15B48 60B05 PDFBibTeX XMLCite \textit{H. Q. Minh}, Lect. Notes Comput. Sci. 11712, 475--483 (2019; Zbl 1458.62138) Full Text: DOI
Minh, Hà Quang Infinite-dimensional log-determinant divergences. III: Log-Euclidean and log-Hilbert-Schmidt divergences. (English) Zbl 1414.58006 Ay, Nihat (ed.) et al., Information geometry and its applications. On the occasion of Shun-ichi Amari’s 80th birthday, IGAIA IV, Liblice, Czech Republic, June 12–17, 2016. Proceedings of the 4th international conference. Cham: Springer. Springer Proc. Math. Stat. 252, 209-243 (2018). MSC: 58B25 62J10 PDFBibTeX XMLCite \textit{H. Q. Minh}, Springer Proc. Math. Stat. 252, 209--243 (2018; Zbl 1414.58006) Full Text: DOI
Ruiz-Medina, M. D.; Anh, V. V.; Espejo, R. M.; Frías, M. P. Heterogeneous spatial dynamical regression in a Hilbert-valued context. (English) Zbl 1429.62430 Stochastic Anal. Appl. 31, No. 3, 509-527 (2013). MSC: 62M30 62G08 62G20 62M10 62P05 PDFBibTeX XMLCite \textit{M. D. Ruiz-Medina} et al., Stochastic Anal. Appl. 31, No. 3, 509--527 (2013; Zbl 1429.62430) Full Text: DOI
Zhang, Haizhang; Xu, Yuesheng; Zhang, Qinghui Refinement of operator-valued reproducing kernels. (English) Zbl 1283.68310 J. Mach. Learn. Res. 13, 91-136 (2012). MSC: 68T05 47B32 62J02 62G08 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Mach. Learn. Res. 13, 91--136 (2012; Zbl 1283.68310) Full Text: arXiv Link
Bosq, Denis Tensorial products of functional ARMA processes. (English) Zbl 1186.62106 J. Multivariate Anal. 101, No. 6, 1352-1363 (2010). MSC: 62M10 62H05 46N30 PDFBibTeX XMLCite \textit{D. Bosq}, J. Multivariate Anal. 101, No. 6, 1352--1363 (2010; Zbl 1186.62106) Full Text: DOI
Boente, Graciela; Rodriguez, Daniela; Sued, Mariela Inference under functional proportional and common principal component models. (English) Zbl 1178.62065 J. Multivariate Anal. 101, No. 2, 464-475 (2010). MSC: 62H25 62F12 47N30 62E20 60F05 PDFBibTeX XMLCite \textit{G. Boente} et al., J. Multivariate Anal. 101, No. 2, 464--475 (2010; Zbl 1178.62065) Full Text: DOI
Mas, André; Pumo, Besnik Functional linear regression with derivatives. (English) Zbl 1154.62049 J. Nonparametric Stat. 21, No. 1, 19-40 (2009). MSC: 62J05 46N30 62J99 62J07 65C60 PDFBibTeX XMLCite \textit{A. Mas} and \textit{B. Pumo}, J. Nonparametric Stat. 21, No. 1, 19--40 (2009; Zbl 1154.62049) Full Text: DOI arXiv
Pycke, Jean-Renaud A decomposition for invariant tests of uniformity on the sphere. (English) Zbl 1112.62051 Proc. Am. Math. Soc. 135, No. 9, 2983-2993 (2007). MSC: 62H11 62G10 20C15 47N30 47G10 PDFBibTeX XMLCite \textit{J.-R. Pycke}, Proc. Am. Math. Soc. 135, No. 9, 2983--2993 (2007; Zbl 1112.62051) Full Text: DOI
Grobler, J. J. Bivariate and marginal function spaces. (English) Zbl 1107.46025 Weber, Martin R. (ed.) et al., Proceedings of the conference “Positivity IV—Theory and Applications”, Dresden, Germany, July 25–29, 2005. Dresden, TU Dresden, Institut für Analysis (ISBN 3-86005-512-7/pbk). 63-71 (2006). MSC: 46E30 47B34 62G05 PDFBibTeX XMLCite \textit{J. J. Grobler}, in: Proceedings of the conference ``Positivity IV---Theory and Applications'', Dresden, Germany, July 25--29, 2005. Dresden, TU Dresden, Institut für Analysis. 63--71 (2006; Zbl 1107.46025)
Bai, Zhidong; Hsing, Tailen The broken sample problem. (English) Zbl 1062.62041 Probab. Theory Relat. Fields 131, No. 4, 528-552 (2005). MSC: 62F12 60F99 62M99 62G30 47N30 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{T. Hsing}, Probab. Theory Relat. Fields 131, No. 4, 528--552 (2005; Zbl 1062.62041) Full Text: DOI
Boente, Graciela; Fraiman, Ricardo Kernel-based functional principal components. (English) Zbl 0997.62024 Stat. Probab. Lett. 48, No. 4, 335-345 (2000). MSC: 62G07 62H25 62G20 62E20 47N30 PDFBibTeX XMLCite \textit{G. Boente} and \textit{R. Fraiman}, Stat. Probab. Lett. 48, No. 4, 335--345 (2000; Zbl 0997.62024) Full Text: DOI
Mourid, T. Estimation and prediction for infinite dimensional autoregressiv processes. (English) Zbl 0938.62107 Ann. I.S.U.P. 43, No. 1, 59-78 (1999). MSC: 62M20 62M10 46N30 60B11 47N30 PDFBibTeX XMLCite \textit{T. Mourid}, Ann. I.S.U.P. 43, No. 1, 59--78 (1999; Zbl 0938.62107)
Bosq, Denis Autoregressive representation for the empirical covariance operator of an ARH(1). Applications. (Représentation autorégressive de l’opérateur de covariance empirique d’un ARH(1). Applications.) (French) Zbl 0947.62055 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 6, 531-534 (1999). MSC: 62M10 60B12 46N30 PDFBibTeX XMLCite \textit{D. Bosq}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 6, 531--534 (1999; Zbl 0947.62055) Full Text: DOI
Bondarenko, V. G. Approximating the density of infinite-dimensional distributions. (English. Russian original) Zbl 0942.62018 Cybern. Syst. Anal. 34, No. 1, 144-146 (1998); translation from Kibern. Sist. Anal. 1998, No, 1, 172-174 (1998). MSC: 62E20 46N30 62M99 PDFBibTeX XMLCite \textit{V. G. Bondarenko}, Cybern. Syst. Anal. 34, No. 1, 144--146 (1998; Zbl 0942.62018); translation from Kibern. Sist. Anal. 1998, No, 1, 172--174 (1998) Full Text: DOI
Mathé, Peter On the existence of unbiased Monte Carlo estimators. (English) Zbl 0851.65004 J. Approximation Theory 85, No. 1, 1-15 (1996). Reviewer: J.Antoch (Praha) MSC: 65C05 47B07 62G99 PDFBibTeX XMLCite \textit{P. Mathé}, J. Approx. Theory 85, No. 1, 1--15 (1996; Zbl 0851.65004) Full Text: DOI Link
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)
Mourid, Tahar Estimation and prediction of Hilbertian autoregressive process. (Estimation et prévision d’un processus autorégressif hilbertien.) (French. Abridged English version) Zbl 0820.62080 C. R. Acad. Sci., Paris, Sér. I 320, No. 9, 1141-1146 (1995). MSC: 62M20 62M09 62M10 46N30 PDFBibTeX XMLCite \textit{T. Mourid}, C. R. Acad. Sci., Paris, Sér. I 320, No. 9, 1141--1146 (1995; Zbl 0820.62080)
Ryzhov, Yu. M. Weak convergence of quadratically Gaussian measures. (English. Russian original) Zbl 0716.60007 Ukr. Math. J. 41, No. 5, 542-546 (1989); translation from Ukr. Mat. Zh. 41, No. 5, 626-631 (1989). MSC: 60B10 62J10 PDFBibTeX XMLCite \textit{Yu. M. Ryzhov}, Ukr. Math. J. 41, No. 5, 542--546 (1989; Zbl 0716.60007); translation from Ukr. Mat. Zh. 41, No. 5, 626--631 (1989) Full Text: DOI
Ryzhov, Yu. M. On weak convergence of quadratically Gaussian measures. (Russian) Zbl 0689.60010 Ukr. Mat. Zh. 41, No. 5, 626-631 (1989). Reviewer: Yu.M.Ryzhov MSC: 60B10 62J10 PDFBibTeX XMLCite \textit{Yu. M. Ryzhov}, Ukr. Mat. Zh. 41, No. 5, 626--631 (1989; Zbl 0689.60010) Full Text: DOI
Bosq, Denis Propriétés des opérateurs de covariance empiriques d’un processus stationnaire hilbertien. (Properties of the empirical covariance operators for an Hilbertian stationary process). (French) Zbl 0683.62055 C. R. Acad. Sci., Paris, Sér. I 309, No. 14, 873-875 (1989). MSC: 62M99 60B11 60B12 PDFBibTeX XMLCite \textit{D. Bosq}, C. R. Acad. Sci., Paris, Sér. I 309, No. 14, 873--875 (1989; Zbl 0683.62055)
Germani, A.; Jetto, L.; Piccioni, M. Galerkin approximation for optimal linear filtering of infinite dimensional linear systems. (English) Zbl 0635.93063 Stochastic modelling and filtering, Proc. IFIP-WG 7/1 Work. Conf., Rome/Italy 1984, Lect. Notes Control Inf. Sci. 91, 42-63 (1987). MSC: 93E11 49M15 93C05 46C99 47A62 47B10 62M20 93C25 PDFBibTeX XML
Vinokurov, V. A.; Kostikov, Yu. A. Bayesian and Tikhonov extrapolation of random processes. (English. Russian original) Zbl 0625.47008 Sov. Math., Dokl. 34, 301-305 (1987); translation from Dokl. Akad. Nauk SSSR 290, 526-530 (1986). Reviewer: Yu Xintai MSC: 47A50 60G35 62H25 28C20 PDFBibTeX XMLCite \textit{V. A. Vinokurov} and \textit{Yu. A. Kostikov}, Sov. Math., Dokl. 34, 301--305 (1987; Zbl 0625.47008); translation from Dokl. Akad. Nauk SSSR 290, 526--530 (1986)
Fazekas, István Quadratic statistics in Hilbert space. (English) Zbl 0598.62013 Publ. Math. Debr. 31, 171-179 (1984). MSC: 62E10 62C99 60B11 PDFBibTeX XMLCite \textit{I. Fazekas}, Publ. Math. Debr. 31, 171--179 (1984; Zbl 0598.62013)
Mandelbaum, Avi All admissible linear estimators of the mean of a Gaussian distribution on a Hilbert space. (English) Zbl 0558.62009 Ann. Stat. 12, 1448-1466 (1984). Reviewer: P.Ressel MSC: 62C15 62C07 62H12 60G15 62H99 PDFBibTeX XMLCite \textit{A. Mandelbaum}, Ann. Stat. 12, 1448--1466 (1984; Zbl 0558.62009) Full Text: DOI
Pyt’ev, Yu. P. Reduction problems in experimental investigations. (English. Russian original) Zbl 0546.94003 Math. USSR, Sb. 48, 237-272 (1984); translation from Mat. Sb., Nov. Ser. 120(162), No. 2, 240-272 (1983). MSC: 94A12 62K05 94A34 60H99 PDFBibTeX XMLCite \textit{Yu. P. Pyt'ev}, Math. USSR, Sb. 48, 237--272 (1984; Zbl 0546.94003); translation from Mat. Sb., Nov. Ser. 120(162), No. 2, 240--272 (1983) Full Text: DOI
Foucart, Thierry Une nouvelle approche de la methode STATIS. (French) Zbl 0554.62048 Rev. Stat. Appl. 31, No. 2, 61-75 (1983). MSC: 62H25 62-04 PDFBibTeX XMLCite \textit{T. Foucart}, Rev. Stat. Appl. 31, No. 2, 61--75 (1983; Zbl 0554.62048) Full Text: Numdam EuDML
Basistov, Yu. A. Regularization of the hypotheses-testing problem by the method of minimum errors. (English. Russian original) Zbl 0508.62024 Autom. Remote Control 43, No. 1, 34-44 (1982); translation from Avtom. Telemekh. 1982, No. 1, 45-55 (1982). MSC: 62F03 60B11 41A65 PDFBibTeX XMLCite \textit{Yu. A. Basistov}, Autom. Remote Control 43, No. 1, 34--44 (1982; Zbl 0508.62024); translation from Avtom. Telemekh. 1982, No. 1, 45--55 (1982)