Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Rényi divergence and the central limit theorem. (English) Zbl 1466.60065 Ann. Probab. 47, No. 1, 270-323 (2019). MSC: 60F15 60E05 62B10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Ann. Probab. 47, No. 1, 270--323 (2019; Zbl 1466.60065) Full Text: DOI arXiv Euclid
Bobkov, S. G.; Chistyakov, G. P.; Kösters, H. The entropic Erdős-Kac limit theorem. (English) Zbl 1335.60018 J. Theor. Probab. 28, No. 4, 1520-1555 (2015). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F05 60G70 60G50 60E10 94A15 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., J. Theor. Probab. 28, No. 4, 1520--1555 (2015; Zbl 1335.60018) Full Text: DOI arXiv
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Berry-Esseen bounds in the entropic central limit theorem. (English) Zbl 1307.60011 Probab. Theory Relat. Fields 159, No. 3-4, 435-478 (2014). MSC: 60F05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Probab. Theory Relat. Fields 159, No. 3--4, 435--478 (2014; Zbl 1307.60011) Full Text: DOI arXiv
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Fisher information and the central limit theorem. (English) Zbl 1372.60018 Probab. Theory Relat. Fields 159, No. 1-2, 1-59 (2014). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Probab. Theory Relat. Fields 159, No. 1--2, 1--59 (2014; Zbl 1372.60018) Full Text: DOI arXiv
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. (English) Zbl 1296.60051 Ann. Probab. 41, No. 4, 2479-2512 (2013). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F05 28D20 94A17 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Ann. Probab. 41, No. 4, 2479--2512 (2013; Zbl 1296.60051) Full Text: DOI arXiv Euclid
Bobkov, Sergey; Madiman, Mokshay Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures. (English) Zbl 1246.52012 J. Funct. Anal. 262, No. 7, 3309-3339 (2012). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A38 60E15 PDFBibTeX XMLCite \textit{S. Bobkov} and \textit{M. Madiman}, J. Funct. Anal. 262, No. 7, 3309--3339 (2012; Zbl 1246.52012) Full Text: DOI arXiv
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N. On concentration of high-dimensional matrices with randomly signed entries. (English) Zbl 1288.60004 J. Math. Sci., New York 163, No. 4, 328-351 (2009) and Zap. Nauchn. Semin. POMI 364, 32-69 (2009). MSC: 60B20 60E10 60F05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., J. Math. Sci., New York 163, No. 4, 328--351 (2009; Zbl 1288.60004) Full Text: DOI
Bobkov, Sergey G. Concentration of normalized sums and a central limit theorem for noncorrelated random variables. (English) Zbl 1065.60006 Ann. Probab. 32, No. 4, 2884-2907 (2004). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60C05 60F05 60F10 PDFBibTeX XMLCite \textit{S. G. Bobkov}, Ann. Probab. 32, No. 4, 2884--2907 (2004; Zbl 1065.60006) Full Text: DOI arXiv