Berkes, I. Strong approximation and a central limit theorem for St. Petersburg sums. (English) Zbl 1448.60043 Stochastic Processes Appl. 129, No. 11, 4500-4509 (2019). MSC: 60E07 60F05 60F17 PDFBibTeX XMLCite \textit{I. Berkes}, Stochastic Processes Appl. 129, No. 11, 4500--4509 (2019; Zbl 1448.60043) Full Text: DOI Link
Berkes, I.; Borda, B. Berry-Esseen bounds and Diophantine approximation. (English) Zbl 1413.11093 Anal. Math. 44, No. 2, 149-161 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11K60 60F05 60G50 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{B. Borda}, Anal. Math. 44, No. 2, 149--161 (2018; Zbl 1413.11093) Full Text: DOI
Berkes, István On the uniform theory of lacunary series. (English) Zbl 1395.42010 Elsholtz, Christian (ed.) et al., Number theory – Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer (ISBN 978-3-319-55356-6/hbk; 978-3-319-55357-3/ebook). 137-167 (2017). MSC: 42A55 42A61 PDFBibTeX XMLCite \textit{I. Berkes}, in: Number theory -- Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy's 60th birthday. Cham: Springer. 137--167 (2017; Zbl 1395.42010) Full Text: DOI Link
Bazarova, Alina; Berkes, István; Horváth, Lajos On the extremal theory of continued fractions. (English) Zbl 1336.11058 J. Theor. Probab. 29, No. 1, 248-266 (2016). Reviewer: Simon Kristensen (Aarhus) MSC: 11K60 60F05 60G70 PDFBibTeX XMLCite \textit{A. Bazarova} et al., J. Theor. Probab. 29, No. 1, 248--266 (2016; Zbl 1336.11058) Full Text: DOI Link
Berkes, I.; Tichy, R. The Kadec-Pełczyński theorem in \(L^p\), \(1\leq p<2\). (English) Zbl 1352.46012 Proc. Am. Math. Soc. 144, No. 5, 2053-2066 (2016). Reviewer: Mikhail M. Popov (Chernivtsi) MSC: 46B09 46B25 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{R. Tichy}, Proc. Am. Math. Soc. 144, No. 5, 2053--2066 (2016; Zbl 1352.46012) Full Text: DOI arXiv
Berkes, István; Horváth, Lajos; Rice, Gregory On the asymptotic normality of kernel estimators of the long run covariance of functional time series. (English) Zbl 1360.62450 J. Multivariate Anal. 144, 150-175 (2016). MSC: 62M10 62E20 62G20 PDFBibTeX XMLCite \textit{I. Berkes} et al., J. Multivariate Anal. 144, 150--175 (2016; Zbl 1360.62450) Full Text: DOI arXiv
Aistleitner, Christoph; Berkes, István; Seip, Kristian GCD sums from Poisson integrals and systems of dilated functions. (English) Zbl 1344.11053 J. Eur. Math. Soc. (JEMS) 17, No. 6, 1517-1546 (2015). Reviewer: Florian Pausinger (Garching) MSC: 11K38 42A20 11C20 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., J. Eur. Math. Soc. (JEMS) 17, No. 6, 1517--1546 (2015; Zbl 1344.11053) Full Text: DOI arXiv
Bazarova, Alina; Berkes, István; Horváth, Lajos On the central limit theorem for modulus trimmed sums. (English) Zbl 1293.60049 Stat. Probab. Lett. 86, 61-67 (2014). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{A. Bazarova} et al., Stat. Probab. Lett. 86, 61--67 (2014; Zbl 1293.60049) Full Text: DOI Link
Berkes, István; Liu, Weidong; Wu, Wei Biao Komlós-Major-Tusnády approximation under dependence. (English) Zbl 1308.60037 Ann. Probab. 42, No. 2, 794-817 (2014). Reviewer: Jurgita Markeviciute (Vilnius) MSC: 60F17 60G10 60J65 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Probab. 42, No. 2, 794--817 (2014; Zbl 1308.60037) Full Text: DOI arXiv Euclid
Aistleitner, Christoph; Berkes, István Limit distributions in metric discrepancy theory. (English) Zbl 1287.11094 Monatsh. Math. 169, No. 3-4, 253-265 (2013). Reviewer: Robert F. Tichy (Graz) MSC: 11K38 42C15 PDFBibTeX XMLCite \textit{C. Aistleitner} and \textit{I. Berkes}, Monatsh. Math. 169, No. 3--4, 253--265 (2013; Zbl 1287.11094) Full Text: DOI
Aistleitner, C.; Berkes, I.; Tichy, R. On the law of the iterated logarithm for permuted lacunary sequences. (English) Zbl 1297.60015 Proc. Steklov Inst. Math. 276, 3-20 (2012) and Tr. Mat. Inst. Steklova 276, 9-26 (2012). MSC: 60F15 11K38 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., Proc. Steklov Inst. Math. 276, 3--20 (2012; Zbl 1297.60015) Full Text: DOI arXiv
Berkes, István; Horváth, Lajos; Schauer, Johannes Asymptotic behavior of trimmed sums. (English) Zbl 1262.60022 Stoch. Dyn. 12, No. 1, 1150002, 14 p. (2012). Reviewer: Pavel Froněk (Praha) MSC: 60F05 62E20 PDFBibTeX XMLCite \textit{I. Berkes} et al., Stoch. Dyn. 12, No. 1, 1150002, 14 p. (2012; Zbl 1262.60022) Full Text: DOI
Berkes, István; Horváth, Lajos The central limit theorem for sums of trimmed variables with heavy tails. (English) Zbl 1234.60023 Stochastic Processes Appl. 122, No. 2, 449-465 (2012). MSC: 60F05 60E07 60G50 62G20 62G30 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{L. Horváth}, Stochastic Processes Appl. 122, No. 2, 449--465 (2012; Zbl 1234.60023) Full Text: DOI
Berkes, István; Hörmann, Siegfried; Schauer, Johannes Split invariance principles for stationary processes. (English) Zbl 1236.60037 Ann. Probab. 39, No. 6, 2441-2473 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F17 60G10 60G17 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Probab. 39, No. 6, 2441--2473 (2011; Zbl 1236.60037) Full Text: DOI arXiv
Berkes, István; Horváth, Lajos; Schauer, Johannes Asymptotics of trimmed CUSUM statistics. (English) Zbl 1229.62017 Bernoulli 17, No. 4, 1344-1367 (2011). MSC: 62F05 60E07 65C60 62G10 PDFBibTeX XMLCite \textit{I. Berkes} et al., Bernoulli 17, No. 4, 1344--1367 (2011; Zbl 1229.62017) Full Text: DOI arXiv
Aistleitner, Christoph; Berkes, István; Tichy, Robert F. On permutations of Hardy-Littlewood-Pólya sequences. (English) Zbl 1270.42009 Trans. Am. Math. Soc. 363, No. 12, 6219-6244 (2011). Reviewer: George Stoica (Saint John) MSC: 42A55 11K60 60F05 60F15 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., Trans. Am. Math. Soc. 363, No. 12, 6219--6244 (2011; Zbl 1270.42009) Full Text: DOI arXiv
Aistleitner, Christoph; Berkes, István Probability and metric discrepancy theory. (English) Zbl 1260.11051 Stoch. Dyn. 11, No. 1, 183-207 (2011). Reviewer: Michael Drmota (Wien) MSC: 11K38 42A55 60F15 PDFBibTeX XMLCite \textit{C. Aistleitner} and \textit{I. Berkes}, Stoch. Dyn. 11, No. 1, 183--207 (2011; Zbl 1260.11051) Full Text: DOI
Berkes, István; Horváth, Lajos; Schauer, Johannes Non-central limit theorems for random selections. (English) Zbl 1200.60027 Probab. Theory Relat. Fields 147, No. 3-4, 449-479 (2010). Reviewer: Ken-ichi Yoshihara (Tokyo) MSC: 60F17 62F40 PDFBibTeX XMLCite \textit{I. Berkes} et al., Probab. Theory Relat. Fields 147, No. 3--4, 449--479 (2010; Zbl 1200.60027) Full Text: DOI
Berkes, István; Hörmann, Siegfried; Horváth, Lajos On functional versions of the arc-sine law. (English) Zbl 1201.60030 J. Theor. Probab. 23, No. 1, 109-126 (2010). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F17 60G17 60G50 60G52 60G70 PDFBibTeX XMLCite \textit{I. Berkes} et al., J. Theor. Probab. 23, No. 1, 109--126 (2010; Zbl 1201.60030) Full Text: DOI
Berkes, István; Hörmann, Siegfried; Schauer, Johannes Asymptotic results for the empirical process of stationary sequences. (English) Zbl 1161.60312 Stochastic Processes Appl. 119, No. 4, 1298-1324 (2009). MSC: 60F17 60F15 62M10 PDFBibTeX XMLCite \textit{I. Berkes} et al., Stochastic Processes Appl. 119, No. 4, 1298--1324 (2009; Zbl 1161.60312) Full Text: DOI
Berkes, István; Gombay, Edit; Horváth, Lajos Testing for changes in the covariance structure of linear processes. (English) Zbl 1159.62031 J. Stat. Plann. Inference 139, No. 6, 2044-2063 (2009). MSC: 62G10 62M10 62M07 60F17 62E20 65C05 PDFBibTeX XMLCite \textit{I. Berkes} et al., J. Stat. Plann. Inference 139, No. 6, 2044--2063 (2009; Zbl 1159.62031) Full Text: DOI
Aue, Alexander; Berkes, István; Horváth, Lajos Selection from a stable box. (English) Zbl 1157.60310 Bernoulli 14, No. 1, 125-139 (2008). MSC: 60F17 60E07 62G30 PDFBibTeX XMLCite \textit{A. Aue} et al., Bernoulli 14, No. 1, 125--139 (2008; Zbl 1157.60310) Full Text: DOI arXiv
Berkes, István; Philipp, Walter; Tichy, Robert F. Metric discrepancy results for sequences \(\{n_k x\}\) and Diophantine equations. (English) Zbl 1213.11152 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 95-105 (2008). Reviewer: Volker Ziegler (Graz) MSC: 11K38 11D45 42A55 60F15 PDFBibTeX XMLCite \textit{I. Berkes} et al., Dev. Math. 16, 95--105 (2008; Zbl 1213.11152) Full Text: DOI
Berkes, István; Philipp, Walter; Tichy, Robert F. Pseudorandom numbers and entropy conditions. (English) Zbl 1133.11045 J. Complexity 23, No. 4-6, 516-527 (2007). Reviewer: Arne Winterhof (Linz) MSC: 11K45 60C05 PDFBibTeX XMLCite \textit{I. Berkes} et al., J. Complexity 23, No. 4--6, 516--527 (2007; Zbl 1133.11045) Full Text: DOI
Berkes, István; Horváth, Lajos; Kokoszka, Piotr; Shao, Qi-Man On discriminating between long-range dependence and changes in mean. (English) Zbl 1112.62085 Ann. Stat. 34, No. 3, 1140-1165 (2006). MSC: 62M10 62G10 65C60 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Stat. 34, No. 3, 1140--1165 (2006; Zbl 1112.62085) Full Text: DOI arXiv
Berkes, István; Horváth, Lajos; Kokoszka, Piotr Near-integrated GARCH sequences. (English) Zbl 1059.62092 Ann. Appl. Probab. 15, No. 1B, 890-913 (2005). MSC: 62M10 62E20 62P05 91B84 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Appl. Probab. 15, No. 1B, 890--913 (2005; Zbl 1059.62092) Full Text: DOI arXiv
Berkes, István; Horváth, Lajos; Huškova, Marie; Steinebach, Josef Applications of permutations to the simulations of critical values. (English) Zbl 1054.62052 J. Nonparametric Stat. 16, No. 1-2, 197-216 (2004). MSC: 62G09 62G10 62G20 60F17 PDFBibTeX XMLCite \textit{I. Berkes} et al., J. Nonparametric Stat. 16, No. 1--2, 197--216 (2004; Zbl 1054.62052) Full Text: DOI
Berkes, István; Horváth, Lajos Limit results for the empirical process of squared residuals in GARCH models. (English) Zbl 1075.60512 Stochastic Processes Appl. 105, No. 2, 271-298 (2003). MSC: 60F17 62M10 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{L. Horváth}, Stochastic Processes Appl. 105, No. 2, 271--298 (2003; Zbl 1075.60512) Full Text: DOI
Berkes, István; Csáki, Endre A universal result in almost sure central limit theory. (English) Zbl 1053.60022 Stochastic Processes Appl. 94, No. 1, 105-134 (2001). Reviewer: Petr Lachout (Praha) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{E. Csáki}, Stochastic Processes Appl. 94, No. 1, 105--134 (2001; Zbl 1053.60022) Full Text: DOI
Berkes, István; Horváth, Lajos The logarithmic average of sample extremes is asymptotically normal. (English) Zbl 1047.60025 Stochastic Processes Appl. 91, No. 1, 77-98 (2001). Reviewer: Zuzana Prášková (Praha) MSC: 60F17 60F05 60G70 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{L. Horváth}, Stochastic Processes Appl. 91, No. 1, 77--98 (2001; Zbl 1047.60025) Full Text: DOI
Berkes, István; Horváth, Lajos Strong approximation of the empirical process of GARCH sequences. (English) Zbl 1014.60033 Ann. Appl. Probab. 11, No. 3, 789-809 (2001). Reviewer: Jiří Anděl (Praha) MSC: 60F17 60G10 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{L. Horváth}, Ann. Appl. Probab. 11, No. 3, 789--809 (2001; Zbl 1014.60033) Full Text: DOI
Berkes, István; Horváth, Lajos Limit theorems for logarithmic averages of random vectors. (English) Zbl 0921.60034 Math. Nachr. 195, 5-16 (1998). Reviewer: H.Dehling (Groningen) MSC: 60F17 60F15 60G15 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{L. Horváth}, Math. Nachr. 195, 5--16 (1998; Zbl 0921.60034) Full Text: DOI
Berkes, István On the almost sure central limit theorem and domains of attraction. (English) Zbl 0821.60030 Probab. Theory Relat. Fields 102, No. 1, 1-17 (1995). Reviewer: P.Schatte (Freiberg) MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{I. Berkes}, Probab. Theory Relat. Fields 102, No. 1, 1--17 (1995; Zbl 0821.60030) Full Text: DOI