Koltchinskii, Vladimir; Wahl, Martin Functional estimation in log-concave location families. (English) Zbl 07814333 Adamczak, Radosław (ed.) et al., High dimensional probability IX. The ethereal volume. Selected papers based on the presentations at the 9th conference, virtual, June 15–19, 2020. Cham: Springer. Prog. Probab. 80, 393-440 (2023). MSC: 62H12 62G20 62H25 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{M. Wahl}, Prog. Probab. 80, 393--440 (2023; Zbl 07814333) Full Text: DOI arXiv
Koltchinskii, Vladimir Estimation of smooth functionals in high-dimensional models: bootstrap chains and Gaussian approximation. (English) Zbl 1539.62143 Ann. Stat. 50, No. 4, 2386-2415 (2022). MSC: 62H12 62G05 62G20 60F05 62H25 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 50, No. 4, 2386--2415 (2022; Zbl 1539.62143) Full Text: DOI arXiv
Koltchinskii, Vladimir; Zhilova, Mayya Estimation of smooth functionals in normal models: bias reduction and asymptotic efficiency. (English) Zbl 1486.62163 Ann. Stat. 49, No. 5, 2577-2610 (2021). MSC: 62H12 60B20 62G20 62H25 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{M. Zhilova}, Ann. Stat. 49, No. 5, 2577--2610 (2021; Zbl 1486.62163) Full Text: DOI arXiv Link
Koltchinskii, Vladimir; Zhilova, Mayya Estimation of smooth functionals of location parameter in Gaussian and Poincaré random shift models. (English) Zbl 1479.62035 Sankhyā, Ser. A 83, No. 2, 569-596 (2021). Reviewer: Joseph Melamed (Los Angeles) MSC: 62H12 62G20 62H25 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{M. Zhilova}, Sankhyā, Ser. A 83, No. 2, 569--596 (2021; Zbl 1479.62035) Full Text: DOI
Koltchinskii, Vladimir; Zhilova, Mayya Efficient estimation of smooth functionals in Gaussian shift models. (English. French summary) Zbl 1469.62430 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 1, 351-386 (2021). MSC: 62R10 62H12 62H25 62G09 62G20 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{M. Zhilova}, Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 1, 351--386 (2021; Zbl 1469.62430) Full Text: DOI arXiv
Koltchinskii, Vladimir Asymptotically efficient estimation of smooth functionals of covariance operators. (English) Zbl 1461.62068 J. Eur. Math. Soc. (JEMS) 23, No. 3, 765-843 (2021). MSC: 62H12 62H25 62G20 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 765--843 (2021; Zbl 1461.62068) Full Text: DOI arXiv
Koltchinskii, Vladimir; Löffler, Matthias; Nickl, Richard Efficient estimation of linear functionals of principal components. (English) Zbl 1440.62232 Ann. Stat. 48, No. 1, 464-490 (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 62H25 62E17 62E20 60F05 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Ann. Stat. 48, No. 1, 464--490 (2020; Zbl 1440.62232) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir; Nickl, Richard; Rigollet, Philippe [Dudley, Dick] A conversation with Dick Dudley. (English) Zbl 1420.62009 Stat. Sci. 34, No. 1, 169-175 (2019). MSC: 62-03 01A70 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Stat. Sci. 34, No. 1, 169--175 (2019; Zbl 1420.62009) Full Text: DOI Euclid
Koltchinskii, Vladimir Asymptotic efficiency in high-dimensional covariance estimation. (English) Zbl 1451.62057 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2903-2923 (2018). MSC: 62H12 62H25 62G20 62C20 62R10 60B20 00A27 PDFBibTeX XMLCite \textit{V. Koltchinskii}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2903--2923 (2018; Zbl 1451.62057) Full Text: DOI
Koltchinskii, Vladimir; Lounici, Karim New asymptotic results in principal component analysis. (English) Zbl 06822893 Sankhyā, Ser. A 79, No. 2, 254-297 (2017). MSC: 62H25 62H12 60B20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{K. Lounici}, Sankhyā, Ser. A 79, No. 2, 254--297 (2017; Zbl 06822893) Full Text: DOI arXiv
Koltchinskii, Vladimir; Lounici, Karim Normal approximation and concentration of spectral projectors of sample covariance. (English) Zbl 1367.62175 Ann. Stat. 45, No. 1, 121-157 (2017). Reviewer: Yuehua Wu (Toronto) MSC: 62H12 60B11 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{K. Lounici}, Ann. Stat. 45, No. 1, 121--157 (2017; Zbl 1367.62175) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir; Lounici, Karim Concentration inequalities and moment bounds for sample covariance operators. (English) Zbl 1366.60057 Bernoulli 23, No. 1, 110-133 (2017). Reviewer: Rasul A. Khan (Forest Glen) MSC: 60E15 60B11 60G15 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{K. Lounici}, Bernoulli 23, No. 1, 110--133 (2017; Zbl 1366.60057) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A. The mathematical work of Evarist Giné. (Catalan. English summary) Zbl 1376.01013 Butll. Soc. Catalana Mat. 31, No. 1, 5-29 (2016). MSC: 01A70 60-03 60B12 60G15 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Butll. Soc. Catalana Mat. 31, No. 1, 5--29 (2016; Zbl 1376.01013)
Koltchinskii, Vladimir; Xia, Dong Perturbation of linear forms of singular vectors under Gaussian noise. (English) Zbl 1353.15034 Houdré, Christian (ed.) et al., High dimensional probability VII. The Cargèse volume. Selected papers based on the presentations at the 7th conference, HDP VII, Institut d’Études Scientifiques de Cargèse, IESC, Fance, May 26–30, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-40517-9/hbk; 978-3-319-40519-3/ebook). Progress in Probability 71, 397-423 (2016). MSC: 15B52 60B20 15A18 60G15 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Xia}, Prog. Probab. 71, 397--423 (2016; Zbl 1353.15034) Full Text: DOI arXiv
Koltchinskii, Vladimir; Lounici, Karim Asymptotics and concentration bounds for bilinear forms of spectral projectors of sample covariance. (English. French summary) Zbl 1353.62053 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1976-2013 (2016). MSC: 62H12 62H25 60B20 62G08 62G20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{K. Lounici}, Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1976--2013 (2016; Zbl 1353.62053) Full Text: DOI arXiv
Koltchinskii, V.; Lounici, K.; Tsybakov, A. B. Estimation of low-rank covariance function. (English) Zbl 1387.60066 Stochastic Processes Appl. 126, No. 12, 3952-3967 (2016). MSC: 60G15 62M09 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Stochastic Processes Appl. 126, No. 12, 3952--3967 (2016; Zbl 1387.60066) Full Text: DOI arXiv
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon A. The mathematical work of Evarist Giné. (English) Zbl 1388.01029 Stochastic Processes Appl. 126, No. 12, 3607-3622 (2016). MSC: 01A70 60-03 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Stochastic Processes Appl. 126, No. 12, 3607--3622 (2016; Zbl 1388.01029) Full Text: DOI
Koltchinskii, Vladimir; Nickl, Richard; Van de Geer, Sara; Wellner, Jon In memoriam: Evarist Giné. (English) Zbl 1349.01033 Stochastic Processes Appl. 126, No. 12, 3605-3606 (2016). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Stochastic Processes Appl. 126, No. 12, 3605--3606 (2016; Zbl 1349.01033) Full Text: DOI
Xia, Dong; Koltchinskii, Vladimir Estimation of low rank density matrices: bounds in Schatten norms and other distances. (English) Zbl 1403.62104 Electron. J. Stat. 10, No. 2, 2717-2745 (2016). MSC: 62H12 81P50 94A17 PDFBibTeX XMLCite \textit{D. Xia} and \textit{V. Koltchinskii}, Electron. J. Stat. 10, No. 2, 2717--2745 (2016; Zbl 1403.62104) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir (ed.); Nickl, Richard (ed.); Reiß, Markus (ed.); Van de Geer, Sara (ed.) Probabilistic techniques in modern statistics. Abstracts from the workshop held May 17–23, 2015. (English) Zbl 1380.00099 Oberwolfach Rep. 12, No. 2, 1449-1498 (2015). MSC: 00B05 00B25 60B12 60B20 60D05 60E07 60F17 60Gxx 62B15 62Gxx 62Jxx 62Mxx 62-06 60-06 PDFBibTeX XMLCite \textit{V. Koltchinskii} (ed.) et al., Oberwolfach Rep. 12, No. 2, 1449--1498 (2015; Zbl 1380.00099) Full Text: DOI
Koltchinskii, Vladimir; Xia, Dong Optimal estimation of low rank density matrices. (English) Zbl 1357.62221 J. Mach. Learn. Res. 16, 1757-1792 (2015). MSC: 62H12 62G07 62P35 81T20 81S10 62C20 81P45 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Xia}, J. Mach. Learn. Res. 16, 1757--1792 (2015; Zbl 1357.62221) Full Text: arXiv Link
Koltchinskii, Vladimir; Mendelson, Shahar Bounding the smallest singular value of a random matrix without concentration. (English) Zbl 1331.15027 Int. Math. Res. Not. 2015, No. 23, 12991-13008 (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 15A18 15A42 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{S. Mendelson}, Int. Math. Res. Not. 2015, No. 23, 12991--13008 (2015; Zbl 1331.15027) Full Text: DOI arXiv
Koltchinskii, Vladimir; Minsker, Stanislav \(L_1\)-penalization in functional linear regression with subgaussian design. (Pénalisation \(L_1\) en régression fonctionnelle linéaire avec design sous-gaussien.) (English. French summary) Zbl 1308.62143 J. Éc. Polytech., Math. 1, 269-330 (2014). MSC: 62J05 62G05 62J07 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{S. Minsker}, J. Éc. Polytech., Math. 1, 269--330 (2014; Zbl 1308.62143) Full Text: DOI arXiv OA License
Kerkyacharian, G.; Tsybakov, A. B.; Temlyakov, V.; Picard, D.; Koltchinskii, V. Optimal exponential bounds on the accuracy of classification. (English) Zbl 1304.62056 Constr. Approx. 39, No. 3, 421-444 (2014). MSC: 62G08 62G07 62H05 68T10 PDFBibTeX XMLCite \textit{G. Kerkyacharian} et al., Constr. Approx. 39, No. 3, 421--444 (2014; Zbl 1304.62056) Full Text: DOI Link
Koltchinskii, Vladimir A remark on low rank matrix recovery and noncommutative Bernstein type inequalities. (English) Zbl 1327.62434 Banerjee, M. (ed.) et al., From probability to statistics and back: high-dimensional models and processes. A Festschrift in honor of Jon A. Wellner. Including papers from the conference, Seattle, WA, USA, July 28–31, 2010. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-83-6). Institute of Mathematical Statistics Collections 9, 213-226 (2013). MSC: 62J99 62H12 60B20 60G15 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Inst. Math. Stat. Collect. 9, 213--226 (2013; Zbl 1327.62434) Full Text: DOI
Koltchinskii, Vladimir Sharp oracle inequalities in low rank estimation. (English) Zbl 1325.62112 Schölkopf, Bernhard (ed.) et al., Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Berlin: Springer (ISBN 978-3-642-41135-9/hbk; 978-3-642-41136-6/ebook). 217-230 (2013). MSC: 62H12 60E15 PDFBibTeX XMLCite \textit{V. Koltchinskii}, in: Empirical inference. Festschrift in honor of Vladimir N. Vapnik. Berlin: Springer. 217--230 (2013; Zbl 1325.62112) Full Text: DOI arXiv
Banerjee, M. (ed.); Bunea, F. (ed.); Huang, J. (ed.); Koltchinskii, V. (ed.); Maathuis, M. H. (ed.) From probability to statistics and back: high-dimensional models and processes. A Festschrift in honor of Jon A. Wellner. Including papers from the conference, Seattle, WA, USA, July 28–31, 2010. (English) Zbl 1319.62002 Institute of Mathematical Statistics Collections 9. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-83-6). xvi, 326 p. (2013). MSC: 62-06 60-06 00B30 PDFBibTeX XMLCite \textit{M. Banerjee} (ed.) et al., From probability to statistics and back: high-dimensional models and processes. A Festschrift in honor of Jon A. Wellner. Including papers from the conference, Seattle, WA, USA, July 28--31, 2010. Beachwood, OH: IMS, Institute of Mathematical Statistics (2013; Zbl 1319.62002) Full Text: Euclid
Koltchinskii, Vladimir; Rangel, Pedro Low rank estimation of smooth kernels on graphs. (English) Zbl 1360.62272 Ann. Stat. 41, No. 2, 604-640 (2013). MSC: 62H12 62J99 60B20 60E15 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{P. Rangel}, Ann. Stat. 41, No. 2, 604--640 (2013; Zbl 1360.62272) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir; Rangel, Pedro Low rank estimation of similarities on graphs. (English) Zbl 1329.62261 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 305-325 (2013). MSC: 62H12 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{P. Rangel}, Prog. Probab. 66, 305--325 (2013; Zbl 1329.62261) Full Text: DOI arXiv
Koltchinskii, Vladimir Discussion: “Generic chaining and the \(\ell _{1}\)-penalty” by Sara van de Geer. (English) Zbl 1428.62331 J. Stat. Plann. Inference 143, No. 6, 1019-1021 (2013). MSC: 62J07 62J02 60E15 PDFBibTeX XMLCite \textit{V. Koltchinskii}, J. Stat. Plann. Inference 143, No. 6, 1019--1021 (2013; Zbl 1428.62331) Full Text: DOI
Koltchinskii, Vladimir Von Neumann entropy penalization and low-rank matrix estimation. (English) Zbl 1246.62138 Ann. Stat. 39, No. 6, 2936-2973 (2011). MSC: 62H12 62P35 60E15 81Q99 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 39, No. 6, 2936--2973 (2011; Zbl 1246.62138) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir; Lounici, Karim; Tsybakov, Alexandre B. Nuclear-norm penalization and optimal rates for noisy low-rank matrix completion. (English) Zbl 1231.62097 Ann. Stat. 39, No. 5, 2302-2329 (2011). MSC: 62H12 62J99 60B20 60E15 60G15 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Ann. Stat. 39, No. 5, 2302--2329 (2011; Zbl 1231.62097) Full Text: DOI arXiv
Koltchinskii, Vladimir Oracle inequalities in empirical risk minimization and sparse recovery problems. École d’Été de Probabilités de Saint-Flour XXXVIII-2008. (English) Zbl 1223.91002 Lecture Notes in Mathematics 2033. Berlin: Springer (ISBN 978-3-642-22146-0/pbk; 978-3-642-22147-7/ebook). ix, 254 p. (2011). Reviewer: Pavel Stoynov (Sofia) MSC: 91-02 91B30 62H30 62H12 90C08 60B20 60G35 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Oracle inequalities in empirical risk minimization and sparse recovery problems. École d'Été de Probabilités de Saint-Flour XXXVIII-2008. Berlin: Springer (2011; Zbl 1223.91002) Full Text: DOI
Koltchinskii, Vladimir Rademacher complexities and bounding the excess risk in active learning. (English) Zbl 1242.62088 J. Mach. Learn. Res. 11, 2457-2485 (2010). MSC: 62L99 62H30 68T05 PDFBibTeX XMLCite \textit{V. Koltchinskii}, J. Mach. Learn. Res. 11, 2457--2485 (2010; Zbl 1242.62088) Full Text: Link
Koltchinskii, Vladimir; Yuan, Ming Sparsity in multiple kernel learning. (English) Zbl 1204.62086 Ann. Stat. 38, No. 6, 3660-3695 (2010). MSC: 62G99 62G08 46N30 62F12 62J07 60E15 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{M. Yuan}, Ann. Stat. 38, No. 6, 3660--3695 (2010; Zbl 1204.62086) Full Text: DOI arXiv
Koltchinskii, Vladimir; Sakhanenko, Lyudmila Asymptotics of statistical estimators of integral curves. (English) Zbl 1243.62042 Houdré, Christian (ed.) et al., High dimensional probability. V: The Luminy volume. Most papers based on the presentations at the conference (HDP V), Luminy, France, May 26–30, 2008. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-78-2). Institute of Mathematical Statistics Collections 5, 326-337 (2009). MSC: 62G05 62G08 62G20 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{L. Sakhanenko}, Inst. Math. Stat. Collect. 5, 326--337 (2009; Zbl 1243.62042) Full Text: DOI Euclid
Houdré, Christian (ed.); Koltchinskii, Vladimir (ed.); Mason, David M. (ed.); Peligrad, Magda (ed.) High dimensional probability. V: The Luminy volume. Most papers based on the presentations at the conference (HDP V), Luminy, France, May 26–30, 2008. (English) Zbl 1228.60006 Institute of Mathematical Statistics Collections 5. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-78-2). viii, 356 p. (2009). MSC: 60-06 00B25 PDFBibTeX XMLCite \textit{C. Houdré} (ed.) et al., High dimensional probability. V: The Luminy volume. Most papers based on the presentations at the conference (HDP V), Luminy, France, May 26--30, 2008. Beachwood, OH: IMS, Institute of Mathematical Statistics (2009; Zbl 1228.60006) Full Text: Euclid
Koltchinskii, Vladimir The Dantzig selector and sparsity oracle inequalities. (English) Zbl 1452.62486 Bernoulli 15, No. 3, 799-828 (2009). MSC: 62J02 60F05 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Bernoulli 15, No. 3, 799--828 (2009; Zbl 1452.62486) Full Text: DOI arXiv
Bartlett, Peter L. (ed.); Koltchinskii, Vladimir (ed.); Tsybakov, Alexandre B. (ed.); Van De Geer, Sara (ed.) Sparse recovery problems in high dimensions: statistical inference and learning theory. Abstracts from the mini-workshop held March 15th – March 21st, 2009. (English) Zbl 1177.62001 Oberwolfach Rep. 6, No. 1, 867-916 (2009). MSC: 62-06 00B05 68T99 68-06 PDFBibTeX XMLCite \textit{P. L. Bartlett} (ed.) et al., Oberwolfach Rep. 6, No. 1, 867--916 (2009; Zbl 1177.62001) Full Text: DOI Link
Koltchinskii, Vladimir Sparsity in penalized empirical risk minimization. (English) Zbl 1168.62044 Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 7-57 (2009). MSC: 62G30 62G99 60E15 62J99 62H30 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Inst. Henri Poincaré, Probab. Stat. 45, No. 1, 7--57 (2009; Zbl 1168.62044) Full Text: DOI EuDML
Koltchinskii, Vladimir Sparse recovery in convex hulls via entropy penalization. (English) Zbl 1269.62039 Ann. Stat. 37, No. 3, 1332-1359 (2009). MSC: 62G07 62G30 62B10 62H99 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 37, No. 3, 1332--1359 (2009; Zbl 1269.62039) Full Text: DOI arXiv
Koltchinskii, Vladimir; Sakhanenko, Lyudmila; Cai, Songhe Integral curves of noisy vector fields and statistical problems in diffusion tensor imaging: nonparametric kernel estimation and hypotheses testing. (English) Zbl 1195.62040 Ann. Stat. 35, No. 4, 1576-1607 (2007). MSC: 62G08 62G20 92C55 62E20 62M40 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Ann. Stat. 35, No. 4, 1576--1607 (2007; Zbl 1195.62040) Full Text: DOI arXiv
Giné, Evarist; Koltchinskii, Vladimir Empirical graph Laplacian approximation of Laplace-Beltrami operators: large sample results. (English) Zbl 1124.60030 Giné, Evarist (ed.) et al., High dimensional probability. Proceedings of the fourth international conference. Many papers based on the presentations at the conference, Santa Fe, NM, USA, June 20–24, 2005. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-67-6/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 51, 238-259 (2006). MSC: 60F15 60F05 53A55 53B99 60F17 PDFBibTeX XMLCite \textit{E. Giné} and \textit{V. Koltchinskii}, IMS Lect. Notes, Monogr. Ser. 51, 238--259 (2006; Zbl 1124.60030) Full Text: DOI arXiv
Koltchinskii, Vladimir Local Rademacher complexities and oracle inequalities in risk minimization. (2004 IMS Medallion Lecture). (With discussions and rejoinder). (English) Zbl 1118.62065 Ann. Stat. 34, No. 6, 2593-2706 (2006). MSC: 62H30 60B99 68Q32 62G08 68T05 68T10 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 34, No. 6, 2593--2706 (2006; Zbl 1118.62065) Full Text: DOI arXiv
Giné, Evarist (ed.); Koltchinskii, Vladimir (ed.); Li, Wenbo (ed.); Zinn, Joel (ed.) High dimensional probability. Proceedings of the fourth international conference. Many papers based on the presentations at the conference, Santa Fe, NM, USA, June 20–24, 2005. (English) Zbl 1113.60009 Institute of Mathematical Statistics Lecture Notes - Monograph Series 51. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-67-6/pbk). vii, 275 p., open access (2006). MSC: 60-06 00B25 PDFBibTeX XMLCite \textit{E. Giné} (ed.) et al., High dimensional probability. Proceedings of the fourth international conference. Many papers based on the presentations at the conference, Santa Fe, NM, USA, June 20--24, 2005. Beachwood, OH: IMS, Institute of Mathematical Statistics (2006; Zbl 1113.60009) Full Text: Euclid
Giné, Evarist; Koltchinskii, Vladimir Concentration inequalities and asymptotic results for ratio type empirical processes. (English) Zbl 1152.60021 Ann. Probab. 34, No. 3, 1143-1216 (2006). MSC: 60E15 60F17 60F15 62G08 68T10 PDFBibTeX XMLCite \textit{E. Giné} and \textit{V. Koltchinskii}, Ann. Probab. 34, No. 3, 1143--1216 (2006; Zbl 1152.60021) Full Text: DOI arXiv
Koltchinskii, Vladimir; Beznosova, Olexandra Exponential convergence rates in classification. (English) Zbl 1137.68546 Auer, Peter (ed.) et al., Learning theory. 18th annual conference on learning theory, COLT 2005, Bertinoro, Italy, June 27–30, 2005. Proceedings. Berlin: Springer (ISBN 3-540-26556-2/pbk). Lecture Notes in Computer Science 3559. Lecture Notes in Artificial Intelligence, 295-307 (2005). MSC: 68T05 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{O. Beznosova}, Lect. Notes Comput. Sci. 3559, 295--307 (2005; Zbl 1137.68546) Full Text: DOI
Koltchinskii, Vladimir; Panchenko, Dmitry Complexities of convex combinations and bounding the generalization error in classification. (English) Zbl 1080.62045 Ann. Stat. 33, No. 4, 1455-1496 (2005). MSC: 62H30 65Y20 68T99 62G05 62G20 60F15 68Q32 68Q25 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Panchenko}, Ann. Stat. 33, No. 4, 1455--1496 (2005; Zbl 1080.62045) Full Text: DOI arXiv
Giné, Evarist; Koltchinskii, Vladimir; Zinn, Joel Weighted uniform consistency of kernel density estimators. (English) Zbl 1052.62034 Ann. Probab. 32, No. 3B, 2570-2605 (2004). MSC: 62G07 60F15 62G20 PDFBibTeX XMLCite \textit{E. Giné} et al., Ann. Probab. 32, No. 3B, 2570--2605 (2004; Zbl 1052.62034) Full Text: DOI arXiv
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila Kernel density estimators: convergence in distribution for weighted sup-norms. (English) Zbl 1048.62041 Probab. Theory Relat. Fields 130, No. 2, 167-198 (2004). MSC: 62G07 62G20 60F15 PDFBibTeX XMLCite \textit{E. Giné} et al., Probab. Theory Relat. Fields 130, No. 2, 167--198 (2004; Zbl 1048.62041) Full Text: DOI
Koltchinskii, Vladimir Discussion on boosting papers. (English) Zbl 1105.62318 Ann. Stat. 32, No. 1, 107-113 (2004). MSC: 62F15 62H30 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 32, No. 1, 107--113 (2004; Zbl 1105.62318) Full Text: Euclid
Koltchinskii, Vladimir; Panchenko, Dmitry; Andonova, Savina Generalization bounds for voting classifiers based on sparsity and clustering. (English) Zbl 1274.68328 Schölkopf, Bernhard (ed.) et al., Learning theory and kernel machines. 16th annual conference on learning theory and 7th kernel workshop, COLT/Kernel 2003, Washington, DC, USA, August 24–27, 2003. Proceedings. Berlin: Springer (ISBN 3-540-40720-0/pbk). Lect. Notes Comput. Sci. 2777, 492-505 (2003). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Lect. Notes Comput. Sci. 2777, 492--505 (2003; Zbl 1274.68328) Full Text: DOI
Lugosi, Gábor; Mendelson, Shahar; Koltchinskii, Vladimir A note on the richness of convex hulls of VC classes. (English) Zbl 1095.28006 Electron. Commun. Probab. 8, 167-169 (2003). MSC: 28A05 68T05 68Q32 PDFBibTeX XMLCite \textit{G. Lugosi} et al., Electron. Commun. Probab. 8, 167--169 (2003; Zbl 1095.28006) Full Text: DOI EuDML
Wellner, Jon A.; Koltchinskii, Vladimir A note on the asymptotic distribution of Berk-Jones type statistics under the null hypothesis. (English) Zbl 1042.62009 Hoffmann-Jørgensen, Jørgen (ed.) et al., High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Basel: Birkhäuser (ISBN 3-7643-2187-3/hbk). Prog. Probab. 55, 321-332 (2003). MSC: 62E20 62G10 PDFBibTeX XMLCite \textit{J. A. Wellner} and \textit{V. Koltchinskii}, Prog. Probab. 55, 321--332 (2003; Zbl 1042.62009)
Giné, Evarist; Koltchinskii, Vladimir; Sakhanenko, Lyudmila Convergence in distribution of self-normalized sup-norms of kernel density estimators. (English) Zbl 1042.62046 Hoffmann-Jørgensen, Jørgen (ed.) et al., High dimensional probability III. Third international conference on high dimensional probability, Sandjberg, Denmark, June 24–28, 2002. Selected papers. Basel: Birkhäuser (ISBN 3-7643-2187-3/hbk). Prog. Probab. 55, 241-253 (2003). MSC: 62G20 62G07 60F15 PDFBibTeX XMLCite \textit{E. Giné} et al., Prog. Probab. 55, 241--253 (2003; Zbl 1042.62046)
Giné, Evarist; Koltchinskii, Vladimir; Wellner, Jon A. Ratio limit theorems for empirical processes. (English) Zbl 1055.60019 Giné, Evariste (ed.) et al., Stochastic inequalities and applications. Selected papers presented at the Euroconference on “Stochastic inequalities and their applications”, Barcelona, June 18–22, 2002. Basel: Birkhäuser (ISBN 3-7643-2197-0/hbk). Prog. Probab. 56, 249-278 (2003). Reviewer: Herold Dehling (Bochum) MSC: 60F15 62G30 PDFBibTeX XMLCite \textit{E. Giné} et al., Prog. Probab. 56, 249--278 (2003; Zbl 1055.60019)
Koltchinskii, Vladimir Bounds on margin distributions in learning problems. (English) Zbl 1031.60017 Ann. Inst. Henri Poincaré, Probab. Stat. 39, No. 6, 943-978 (2003). MSC: 60E15 62H30 62B10 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Inst. Henri Poincaré, Probab. Stat. 39, No. 6, 943--978 (2003; Zbl 1031.60017) Full Text: Numdam EuDML
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando Bounding the generalization error of convex combinations of classifiers: Balancing the dimensionality and the margins. (English) Zbl 1073.62535 Ann. Appl. Probab. 13, No. 1, 213-252 (2003). MSC: 62G99 60F15 62G20 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Ann. Appl. Probab. 13, No. 1, 213--252 (2003; Zbl 1073.62535) Full Text: DOI arXiv
Bousquet, Olivier; Koltchinskii, Vladimir; Panchenko, Dmitriy Some local measures of complexity of convex hulls and generalization bounds. (English) Zbl 1050.68055 Kivinen, Jyrki (ed.) et al., Computational learning theory. 15th annual conference, COLT 2002, Sydney, Australia, July 8–10, 2002. Proceedings. Berlin: Springer (ISBN 3-540-43836-X). Lect. Notes Comput. Sci. 2375, 59-73 (2002). MSC: 68Q32 PDFBibTeX XMLCite \textit{O. Bousquet} et al., Lect. Notes Comput. Sci. 2375, 59--73 (2002; Zbl 1050.68055) Full Text: arXiv Link
Koltchinskii, V.; Panchenko, D. Empirical margin distributions and bounding the generalization error of combined classifiers. (English) Zbl 1012.62004 Ann. Stat. 30, No. 1, 1-50 (2002). MSC: 62B10 62G30 62H30 62M45 62E99 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Panchenko}, Ann. Stat. 30, No. 1, 1--50 (2002; Zbl 1012.62004) Full Text: arXiv
Abdallah, C. T.; Amato, F.; Ariola, M.; Dorato, P.; Koltchinskii, V. Statistical learning methods in linear algebra and control problems: The example of finite-time control of uncertain linear systems. (English) Zbl 1007.93064 Linear Algebra Appl. 351-352, 11-26 (2002). Reviewer: Kurt Marti (Neubiberg/München) MSC: 93D21 15A39 PDFBibTeX XMLCite \textit{C. T. Abdallah} et al., Linear Algebra Appl. 351--352, 11--26 (2002; Zbl 1007.93064) Full Text: DOI
Abdallah, Chaouki T.; Ariola, Marco; Koltchinskii, Vladimir Statistical-learning control of multiple-delay systems with application to ATM networks. (English) Zbl 1265.93210 Kybernetika 37, No. 3, 355-365 (2001). MSC: 93D21 93C73 68T05 PDFBibTeX XMLCite \textit{C. T. Abdallah} et al., Kybernetika 37, No. 3, 355--365 (2001; Zbl 1265.93210) Full Text: EuDML Link
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P. Statistical learning control of uncertain systems: theory and algorithms. (English) Zbl 1052.93066 Appl. Math. Comput. 120, No. 1-3, 31-43 (2001). Reviewer: Vlasta Kaňková (Praha) MSC: 93E35 62F40 90C15 65C60 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Appl. Math. Comput. 120, No. 1--3, 31--43 (2001; Zbl 1052.93066) Full Text: DOI
Koltchinskii, Vladimir; Panchenko, Dmitriy; Lozano, Fernando Further explanation of the effectiveness of voting methods: The game between margins and weights. (English) Zbl 0992.68511 Helmbold, David (ed.) et al., Computational learning theory. 14th annual conference, COLT 2001, and 5th European conference, EuroCOLT 2001, Amsterdam, Netherlands, July 16-19, 2001. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2111, 241-255 (2001). MSC: 68Q32 91A80 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., Lect. Notes Comput. Sci. 2111, 241--255 (2001; Zbl 0992.68511) Full Text: Link
Efromovich, Sam; Koltchinskii, Vladimir On inverse problems with unknown operators. (English) Zbl 1017.94508 IEEE Trans. Inf. Theory 47, No. 7, 2876-2894 (2001). MSC: 94A12 60G35 47N99 60H30 PDFBibTeX XMLCite \textit{S. Efromovich} and \textit{V. Koltchinskii}, IEEE Trans. Inf. Theory 47, No. 7, 2876--2894 (2001; Zbl 1017.94508) Full Text: DOI
Koltchinskii, Vladimir Rademacher penalties and structural risk minimization. (English) Zbl 1008.62614 IEEE Trans. Inf. Theory 47, No. 5, 1902-1914 (2001). MSC: 62H30 62G05 90B30 PDFBibTeX XMLCite \textit{V. Koltchinskii}, IEEE Trans. Inf. Theory 47, No. 5, 1902--1914 (2001; Zbl 1008.62614) Full Text: DOI
Koltchinskii, V. I. Empirical geometry of multivariate data: a deconvolution approach. (English) Zbl 1105.62345 Ann. Stat. 28, No. 2, 591-629 (2000). MSC: 62H05 62H99 62H12 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, Ann. Stat. 28, No. 2, 591--629 (2000; Zbl 1105.62345) Full Text: DOI Euclid
Koltchinskii, V.; Abdallah, C. T.; Ariola, M.; Dorato, P.; Panchenko, D. Improved sample complexity estimates for statistical learning control of uncertain systems. (English) Zbl 0991.93130 IEEE Trans. Autom. Control 45, No. 12, 2383-2388 (2000). MSC: 93E35 93B40 PDFBibTeX XMLCite \textit{V. Koltchinskii} et al., IEEE Trans. Autom. Control 45, No. 12, 2383--2388 (2000; Zbl 0991.93130) Full Text: DOI Link
Koltchinskii, Vladimir; Dudley, Richard On spatial quantiles. (English) Zbl 0965.62048 Korolyuk, V. (ed.) et al., Skorokhod’s ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 32, 195-210 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 62H05 62G30 62H11 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{R. Dudley}, in: Skorokhod's ideas in probability theory. Kyïv: Institute of Mathematics of NAS of Ukraine. 195--210 (2000; Zbl 0965.62048)
Koltchinskii, Vladimir; Sakhanenko, Lyudmila Testing for ellipsoidal symmetry of a multivariate distribution. (English) Zbl 0958.62056 Giné, Evarist (ed.) et al., High dimensional probability II. 2nd international conference, Univ. of Washington, DC, USA, August 1-6, 1999. Boston, MA: Birkhäuser. Prog. Probab. 47, 493-510 (2000). MSC: 62H15 62G30 60F05 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{L. Sakhanenko}, Prog. Probab. 47, 493--510 (2000; Zbl 0958.62056)
Koltchinskii, Vladimir; Panchenko, Dmitriy Rademacher processes and bounding the risk of function learning. (English) Zbl 1106.68385 Giné, Evarist (ed.) et al., High dimensional probability II. 2nd international conference, Univ. of Washington, DC, USA, August 1–6, 1999. Boston, MA: Birkhäuser (ISBN 0-8176-4160-2). Prog. Probab. 47, 443-457 (2000). Reviewer: Yu. I. Petunin (MR1857339) MSC: 68T05 62G05 68Q32 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{D. Panchenko}, Prog. Probab. 47, 443--457 (2000; Zbl 1106.68385) Full Text: arXiv
Koltchinskii, Vladimir; Giné, Evarist Random matrix approximation of spectra of integral operators. (English) Zbl 0949.60078 Bernoulli 6, No. 1, 113-167 (2000). MSC: 60H25 47G10 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{E. Giné}, Bernoulli 6, No. 1, 113--167 (2000; Zbl 0949.60078) Full Text: DOI Euclid
Abdallah, Chaouki T.; Ariola, Marco; Dorato, Peter; Koltchinskii, Vladimir Quantified inequalities and robust control. (English) Zbl 0968.93510 Garulli, A. (ed.) et al., Robustness in identification and control. Workshop, Siena, Italy, July 30 - August 2, 1998. London: Springer. Lect. Notes Control Inf. Sci. 245, 373-390 (1999). MSC: 93B51 93E35 PDFBibTeX XMLCite \textit{C. T. Abdallah} et al., Lect. Notes Control Inf. Sci. 245, 373--390 (1999; Zbl 0968.93510)
Koltchinskii, Vladimir I. Differentiability of inverse operators and limit theorems for inverse functions. (English) Zbl 0916.60001 J. Theor. Probab. 11, No. 3, 645-699 (1998). Reviewer: A.J.Rachkauskas (Vilnius) MSC: 60B10 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, J. Theor. Probab. 11, No. 3, 645--699 (1998; Zbl 0916.60001) Full Text: DOI
Koltchinskii, V. I.; Li, Lang Testing of spherical symmetry of a multivariate distribution. (English) Zbl 1138.62328 J. Multivariate Anal. 65, No. 2, 228-244 (1998). MSC: 62H15 PDFBibTeX XMLCite \textit{V. I. Koltchinskii} and \textit{L. Li}, J. Multivariate Anal. 65, No. 2, 228--244 (1998; Zbl 1138.62328) Full Text: DOI
Koltchinskii, Vladimir I. Asymptotics of spectral projections of some random matrices approximating integral operators. (English) Zbl 0905.60003 Eberlein, Ernst (ed.) et al., High dimensional probability. Proceedings of the conference, Oberwolfach, Germany, August 1996. Basel: Birkhäuser. Prog. Probab. 43, 191-227 (1998). MSC: 60B05 47B10 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, Prog. Probab. 43, 191--227 (1998; Zbl 0905.60003)
Rao, C. Radhakrishna; Pathak, P. K.; Koltchinskii, V. I. Bootstrap by sequential resampling. (English) Zbl 0945.62014 J. Stat. Plann. Inference 64, No. 2, 257-281 (1997). MSC: 62D05 62G09 62L99 PDFBibTeX XMLCite \textit{C. R. Rao} et al., J. Stat. Plann. Inference 64, No. 2, 257--281 (1997; Zbl 0945.62014) Full Text: DOI
Koltchinskii, V. I. \(M\)-estimation, convexity and quantiles. (English) Zbl 0878.62037 Ann. Stat. 25, No. 2, 435-477 (1997). Reviewer: L.Heinrich (Freiberg) MSC: 62G20 62G30 60F05 62E20 60F17 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, Ann. Stat. 25, No. 2, 435--477 (1997; Zbl 0878.62037) Full Text: DOI
Koltchinskii, V. M-estimation and spatial quantiles. (English) Zbl 0844.62034 Rieder, Helmut (ed.), Robust statistics, data analysis, and computer intensive methods. In honor of Peter Huber’s 60th birthday. New York, NY: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 109, 235-250 (1996). Reviewer: A.V.Bulinskij (Moskva) MSC: 62G20 60F05 62E20 62G30 PDFBibTeX XMLCite \textit{V. Koltchinskii}, in: Robust statistics, data analysis, and computer intensive methods. In honor of Peter Huber's 60th birthday. New York, NY: Springer-Verlag. 235--250 (1996; Zbl 0844.62034)
Koltchinskii, V. I. Spatial quantiles and \(L\)-estimators. (English) Zbl 1175.62031 Skorokhod, A.V. (ed.) et al., Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP (ISBN 90-6764-196-0). 183-199 (1995). MSC: 62G05 62H12 62G20 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, in: Exploring stochastic laws. Festschrift in honour of the 70th birthday of Academician Vladimir Semenovich Korolyuk. Utrecht: VSP. 183--199 (1995; Zbl 1175.62031)
Koltchinskii, V. Nonlinear transformations of empirical processes: Functional inverses and Bahadur-Kiefer representations. (English) Zbl 0843.60035 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the sixth Vilnius conference, Vilnius, Lithuania, June 28 - July 3, 1993. Utrecht: VSP. 423-445 (1994). MSC: 60F17 PDFBibTeX XMLCite \textit{V. Koltchinskii}, in: Probability theory and mathematical statistics. Proceedings of the sixth Vilnius conference, Vilnius, Lithuania, June 28 - July 3, 1993. Utrecht: VSP; Vilnius: TEV. 423--445 (1994; Zbl 0843.60035)
Koltchinskii, V. Bahadur-Kiefer approximation for spatial quantiles. (English) Zbl 0855.62035 Hoffmann-Jørgensen, Jørgen (ed.) et al., Probability in Banach spaces, 9: Proceedings from the 9th international conference on probability in Banach spaces, held at Sandbjerg, Denmark, August 16-21, 1993. Boston, MA: Birkhäuser. Prog. Probab. 35, 401-415 (1994). Reviewer: S.B.Fotopoulos (MR 95j:62026) MSC: 62G20 60F15 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Prog. Probab. 35, 401--415 (1994; Zbl 0855.62035)
Koltchinskii, Vladimir I. Komlós-Major-Tusnády approximation for the general empirical process and Haar expansions of classes of functions. (English) Zbl 0810.60002 J. Theor. Probab. 7, No. 1, 73-118 (1994). Reviewer: I.S.Borisov (Novosibirsk) MSC: 60B12 60F17 60F15 PDFBibTeX XMLCite \textit{V. I. Koltchinskii}, J. Theor. Probab. 7, No. 1, 73--118 (1994; Zbl 0810.60002) Full Text: DOI
Dudley, R. M.; Kolchinskyj, V. I. Envelop moments conditions and Donsker classes. (English. Ukrainian original) Zbl 0941.60059 Theory Probab. Math. Stat. 51, 39-48 (1995); translation from Teor. Jmovirn. Mat. Stat. 51, 39-49 (1994). Reviewer: R.E.Maiboroda (Kyïv) MSC: 60F17 60G50 PDFBibTeX XMLCite \textit{R. M. Dudley} and \textit{V. I. Kolchinskyj}, Teor. Ĭmovirn. Mat. Stat. 51, 39--49 (1994; Zbl 0941.60059); translation from Teor. Jmovirn. Mat. Stat. 51, 39--49 (1994)
Kolchinskij, V. I. The entropy order of operators in Banach spaces and the central limit theorem. (Russian) Zbl 0733.60011 Teor. Veroyatn. Primen. 36, No. 2, 313-325 (1991). Reviewer: A.Koldobsky (New York) MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Teor. Veroyatn. Primen. 36, No. 2, 313--325 (1991; Zbl 0733.60011)
Kolchinskij, V. I. Entropic order of operators in Banach spaces and the central limit theorem. (English. Russian original) Zbl 0774.60008 Theory Probab. Appl. 36, No. 2, 303-315 (1991); translation from Teor. Veroyatn. Primen. 36, No. 2, 313-325 (1991). MSC: 60B12 60F05 PDFBibTeX XML
Kolchinskij, V. I. Accuracy of the approximation of an empirical process by a Brownian bridge. (English. Russian original) Zbl 0786.60040 Sib. Math. J. 32, No. 4, 578-588 (1991); translation from Sib. Mat. Zh. 32, No. 4(188), 48-60 (1991). Reviewer: D.Aissani (Bejaia) MSC: 60F17 60J65 60B12 60F05 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Sib. Math. J. 32, No. 4, 578--588 (1991; Zbl 0786.60040); translation from Sib. Mat. Zh. 32, No. 4(188), 48--60 (1991) Full Text: DOI
Kolchinskij, V. I. Rates of convergence in the invariance principle for empirical processes. (English) Zbl 0786.60039 New trends in probability and statistics. Vol. 1, Proc. 23rd Bakuriani Colloq. in Honour of Yu. V. Prokhorov, Bakuriani/USSR 1990, 167-182 (1991). Reviewer: H.Dehling (Groningen) MSC: 60F17 62E20 60F05 60B12 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, in: New trends in probability and statistics. Vol. 1. Proceedings of the XXIII Bakuriani colloquium in Honour of Yu. V. Prokhorov, Bakuriani, Georgia, 24 February - 4 March, 1990. Utrecht: VSP; Vilnius: Mokslas. 167--182 (1991; Zbl 0786.60039)
Kolchinskij, V. I. The entropy order of operators and limit theorems in Banach spaces. (English) Zbl 0733.60012 Probability theory and mathematical statistics, Proc. 5th Vilnius Conf., Vilnius/Lith. 1989, Vol. I, 618-626 (1990). Reviewer: H.Sato (Fukuoka) MSC: 60B12 PDFBibTeX XML
Kolchinskij, V. I. Metric entropy of compact sets. (Russian) Zbl 0813.54014 Mathematics today, Sci.-Methodical Collect., 6, 49-76 (1990). MSC: 54C70 28A12 37A99 54H20 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, in: Matematika segodnya. 1990. Nauchno-metodicheskij sbornik. Vyp. 6. Kiev: Vyshcha Shkola. 49--76 (1990; Zbl 0813.54014)
Kolchinskij, V. I. Operators of type p and metric entropy. (English. Russian original) Zbl 0714.47014 Theory Probab. Math. Stat. 38, 75-81 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 38, 69-76 (1988). MSC: 47B06 46B20 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 38, 75--81 (1989; Zbl 0714.47014); translation from Teor. Veroyatn. Mat. Stat., Kiev 38, 69--76 (1988)
Kolchinskij, V. I. Limit theorems for empirical characteristic functionals in Banach spaces. (English. Russian original) Zbl 0713.60006 Theory Probab. Math. Stat. 39, 83-91 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 71-78 (1988). MSC: 60B12 60B10 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 39, 83--91 (1989; Zbl 0713.60006); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 71--78 (1988)
Kolchinskij, V. I. Limit theorems for empirical characteristic functionals in Banach space. (Russian) Zbl 0669.60013 Teor. Veroyatn. Mat. Stat., Kiev 39, 71-78 (1988). Reviewer: S.A.Chobanjan MSC: 60B12 60B10 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Teor. Veroyatn. Mat. Stat., Kiev 39, 71--78 (1988; Zbl 0669.60013)
Kolchinskij, V. I. Operators of type p and the metric entropy. (English) Zbl 0664.47013 Teor. Veroyatn. Mat. Stat., Kiev 38, 69-76 (1988). Reviewer: V.I.Kolchinskij MSC: 47B10 46B20 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Teor. Veroyatn. Mat. Stat., Kiev 38, 69--76 (1988; Zbl 0664.47013)
Kolchinskij, V. I. Convergence of empirical measures. (Russian) Zbl 0702.60033 Mathematics today, Sci.-Methodological Collect. 3, 131-156 (1987). Reviewer: I.S.Molchanov MSC: 60F17 60B10 62G30 28A33 PDFBibTeX XML
Kolčinskii, V. I. Convergence of the empirical characteristic functionals. (English) Zbl 0674.60013 Mathematical statistics, theory and applications, Proc. World Congr. Bernoulli Soc., Tashkent/USSR 1986, Vol. 2, 841-844 (1987). Reviewer: A.Dale MSC: 60B12 PDFBibTeX XML
Kolchinskij, V. I. Functional limit theorems and empirical entropy. II. (English. Russian original) Zbl 0633.60051 Theory Probab. Math. Stat. 34, 81-93 (1987); translation from Teor. Veroyatn. Mat. Stat. 34, 73-85 (1986). Reviewer: E.Häusler MSC: 60F17 60G05 60F05 28D20 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 34, 81--93 (1987; Zbl 0633.60051); translation from Teor. Veroyatn. Mat. Stat. 34, 73--85 (1986)
Kolchinskij, V. I. Functional limit theorems and empirical entropy. I. (English. Russian original) Zbl 0627.60043 Theory Probab. Math. Stat. 33, 35-45 (1986); translation from Teor. Veroyatn. Mat. Stat. 33, 31-42 (1985). Reviewer: E.Häusler MSC: 60F17 28D20 60F05 60G30 60G50 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 33, 35--45 (1986; Zbl 0627.60043); translation from Teor. Veroyatn. Mat. Stat. 33, 31--42 (1985)
Kolchinskij, V. I. Limit theorems in a nonseparable function space. (English. Russian original) Zbl 0616.60008 Ukr. Math. J. 38, 376-379 (1986); translation from Ukr. Mat. Zh. 38, No. 4, 443-447 (1986). Reviewer: Z.G.Gorgadze MSC: 60B12 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Ukr. Math. J. 38, 376--379 (1986; Zbl 0616.60008); translation from Ukr. Mat. Zh. 38, No. 4, 443--447 (1986) Full Text: DOI
Kolchinskij, V. I. Functional limit theorems and empirical entropy. (Russian. English summary) Zbl 0577.60031 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 7, 14-16 (1985). MSC: 60F17 60F05 60F15 PDFBibTeX XMLCite \textit{V. I. Kolchinskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 7, 14--16 (1985; Zbl 0577.60031)