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 PDF BibTeX XML Cite \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. 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 PDF BibTeX XML Cite \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, 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 PDF BibTeX XML Cite \textit{V. I. Koltchinskii}, J. Theor. Probab. 7, No. 1, 73--118 (1994; Zbl 0810.60002) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML
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 PDF BibTeX XML Cite \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. 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 PDF BibTeX XML Cite \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. 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 PDF BibTeX 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX 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 PDF BibTeX 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 7, 14--16 (1985; Zbl 0577.60031)
Kolchinskij, V. I. Central limit theorem in a function space and empirical entropy. (Russian. English summary) Zbl 0536.60010 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 4, 15-16 (1984). Reviewer: F.Móricz MSC: 60B12 60F05 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 4, 15--16 (1984; Zbl 0536.60010)
Kolchinskij, V. I. Some limit theorems for random functions on a compact subset of a normed linear space. (English) Zbl 0513.60038 Theory Probab. Math. Stat. 26, 87-95 (1983). MSC: 60F05 60B12 60G60 28D99 47B10 60G57 60H05 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 26, 87--95 (1983; Zbl 0513.60038)
Kolchinskij, V. I. On the law of the iterated logarithm in the Strassen form for empirical measures. (English) Zbl 0504.60038 Theory Probab. Math. Stat. 25, 43-49 (1982). MSC: 60F15 60B10 60F17 54C40 54C70 62G30 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 25, 43--49 (1982; Zbl 0504.60038)
Kolchinskij, V. I. On the central limit theorem for empirical measures. (English) Zbl 0504.60024 Theory Probab. Math. Stat. 24, 71-82 (1982). MSC: 60F05 28A05 54C70 60F17 60B11 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 24, 71--82 (1982; Zbl 0504.60024)
Kolchinskij, V. I. Some limit theorems for random functions on a compact in a linear normed space. (Russian) Zbl 0502.60008 Teor. Veroyatn. Mat. Stat. 26, 77-85 (1982). MSC: 60B12 PDF BibTeX XML
Kolchinskij, V. I. On the central limit theorem for empirical measures. (Russian) Zbl 0478.60039 Teor. Veroyatn. Mat. Stat. 24, 63-75 (1981). MSC: 60F17 60F05 60B11 PDF BibTeX XML
Kolchinskij, V. I. On the law of iterated logarithm in Strassen form for empirical measures. (Russian) Zbl 0467.60029 Teor. Veroyatn. Mat. Stat. 25, 40-47 (1981). MSC: 60F15 60F17 60B10 PDF BibTeX XML
Kolchinskij, V. I. Some limit theorems for empirical measures. (English) Zbl 0486.60005 Theory Probab. Math. Stat. 21, 79-86 (1980). MSC: 60B10 60F05 62H10 62G05 62H12 PDF BibTeX XML Cite \textit{V. I. Kolchinskij}, Theory Probab. Math. Stat. 21, 79--86 (1980; Zbl 0486.60005)
Kolchinskij, V. I. A law of iterated logarithm for empirical measures. (Russian) Zbl 0461.60045 Probability methods of infinite-dimensional analysis, Collect. sci. Works, Kiev 1980, 73-83 (1980). MSC: 60F17 60F15 PDF BibTeX XML
Kolchinskij, V. I. Some theorems on a strong convergence for the sums of functions of independent random variables. (Russian) Zbl 0429.60024 Analytical Methods in Probability Theory, Collect. Sci. Works, Kiev 1979, 129-132 (1979). MSC: 60F15 60G50 PDF BibTeX XML
Kolchinskij, V. I. Some limit theorems for empirical measures. (Russian) Zbl 0412.60009 Teor. Veroyatn. Mat. Stat. 21, 68-75 (1979). MSC: 60B10 60F99 62G05 PDF BibTeX XML
Kolchins’kij, V. I. Asymptotic properties of multidimensional empiric density function. (Ukrainian) Zbl 0398.60037 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 249-250 (1979). MSC: 60G10 60G25 PDF BibTeX XML Cite \textit{V. I. Kolchins'kij}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 249--250 (1979; Zbl 0398.60037)
Kolchinskij, V. I. Some theorems on the uniform convergence of a sequence of measures. (Russian) Zbl 0407.60004 Probability distributions in infinite dimensional spaces, Coll. sci. Works, Akad. Nauk Ukr. SSR, Inst. Mat., Kiev 1978, 90-108 (1978). MSC: 60B10 62G05 PDF BibTeX XML
Kolchins’kij, V. I. Linear nonparametric estimate of function of two variables. (Ukrainian) Zbl 0363.62031 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 786-788 (1977). MSC: 62G05 PDF BibTeX XML Cite \textit{V. I. Kolchins'kij}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1977, 786--788 (1977; Zbl 0363.62031)
Kol’chinskij, V. A. A method of studying the stability of autonomous systems. (English. Russian original) Zbl 0347.34039 J. Appl. Math. Mech. 39, 633-639 (1975); translation from Prikl. Mat. Mekh. 39, 661-667 (1975). MSC: 34D20 PDF BibTeX XML Cite \textit{V. A. Kol'chinskij}, J. Appl. Math. Mech. 39, 633--639 (1975; Zbl 0347.34039); translation from Prikl. Mat. Mekh. 39, 661--667 (1975) Full Text: DOI