István Berkes

Em.Univ.-Prof. Mag. Dr.rer.nat.

1972 …2022
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Research Output 1972 2017

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2017

A metric discrepancy result with given speed

Berkes, I., Fukuyama, K. & Nishimura, T., 1 Feb 2017, In : Acta Mathematica Hungarica. 151, 1, p. 199-216 18 p.

Research output: Contribution to journalArticleResearchpeer-review

Discrepancy
Trigonometric Sums
Metric
Integer
2016

On the asymptotic normality of kernel estimators of the long run covariance of functional time series

Berkes, I., Horváth, L. & Rice, G., 2016, In : Journal of multivariate analysis. 144, p. 150-175

Research output: Contribution to journalArticleResearchpeer-review

On the extremal theory of continued fractions

Bazarova, A., Berkes, I. & Horváth, L., 2016, In : Journal of theoretical probability. 29, 1, p. 248-266

Research output: Contribution to journalArticleResearchpeer-review

The Kadec-Pelczynski theorem in L^p

Berkes, I. & Tichy, R., 2016, In : Proceedings of the American Mathematical Society. 144, 5, p. 2053-2066 14 p.

Research output: Contribution to journalArticleResearchpeer-review

2015

Convergence of series of dilated functions and spectral norms of GCD matrices

Aistleitner, C., Berkes, I., Seip, K. & Weber, M., 2015, In : Acta Arithmetica. 168, p. 201-219

Research output: Contribution to journalArticleResearchpeer-review

GCD sums from Poisson integrals and systems of dilated sums

Aistleitner, C., Berkes, I. & Seip, K., 2015, In : Journal of the European Mathematical Society. 17, 6, p. 1517-1546

Research output: Contribution to journalArticleResearchpeer-review

On the discrepancy and empirical distribution function of {n_kalpha}

Berkes, I. & Raseta, M., 2015, In : Uniform Distribution Theory. 10, 1, p. 1-17

Research output: Contribution to journalArticleResearchpeer-review

Open Access
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2014

Komlós-Major-Tusnády approximation under dependence

Berkes, I., Liu, W. & Wu, W. B., 2014, In : The annals of probability. 42, p. 794-814

Research output: Contribution to journalArticleResearchpeer-review

On permutation-invariance of limit theorems

Berkes, I. & Tichy, R., 2014, In : Journal of complexity. 31, 3, p. 372–379

Research output: Contribution to journalArticleResearchpeer-review

On series $\sum c_k f(kx)$ and Khinchin's conjecture

Berkes, I. & Weber, M., 2014, In : Israel journal of mathematics. 201, 2, p. 593-609

Research output: Contribution to journalArticleResearchpeer-review

On series of dilated functions

Berkes, I. & Weber, M., 2014, In : The quarterly journal of mathematics. 65, 1, p. 25-52

Research output: Contribution to journalArticleResearchpeer-review

On the central limit theorem for modulus trimmes sums

Bazarova, A., Berkes, I. & Horvath, L., 2014, In : Statistics & probability letters. 86, p. 61-67

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File

Trimmed stable AR(1) processes

Bazarova, A., Berkes, I. & Horvath, L., 2014, In : Stochastic processes and their applications. 124, 10, p. 3441-3462

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
2013

Limit distributions in metric discrepancy theory

Aistleitner, C. & Berkes, I., 2013, In : Monatshefte für Mathematik. 169, 3, p. 253-265

Research output: Contribution to journalArticleResearchpeer-review

Weak invariance principles for sums of dependent random functions.

Berkes, I., Horvath, L. & Rice, G., 2013, In : Stochastic processes and their applications. 123, p. 385-403

Research output: Contribution to journalArticleResearchpeer-review

2012

Asymptotic behavior of trimmed sums

Berkes, I., Horvath, L. & Schauer, J., 2012, In : Stochastics and dynamics. 12, 1, p. 1150002-1-1150002-14

Research output: Contribution to journalArticleResearchpeer-review

On permutations of lacunary series

Aistleitner, C., Berkes, I. & Tichy, R., 2012, In : RIMS Kôkyûroku / Bessatsu. B34, p. 1-25

Research output: Contribution to journalArticleResearch

On the law of large numbers and arithmetic functions

Berkes, I., Müller, W. & Weber, M., 2012, In : Indagationes mathematicae. 23, 3, p. 547-555

Research output: Contribution to journalArticleResearchpeer-review

On the law of the iterated logarithm for permuted lacunary sequences

Aistleitner, C., Berkes, I. & Tichy, R., 2012, In : Proceedings of the Steklov Institute of Mathematics. 276, p. 3-20

Research output: Contribution to journalArticleResearchpeer-review

The central limit theorem for sums of trimmed variables with heavy tails

Berkes, I. & Horvath, L., 2012, In : Stochastic processes and their applications. 122, p. 449-465

Research output: Contribution to journalArticleResearchpeer-review

2011

Asymptotics of trimmed CUSUM statistics

Berkes, I., Horvath, L. & Schauer, J., 2011, In : Bernoulli. 17, 4, p. 1344-1367

Research output: Contribution to journalArticleResearchpeer-review

On permutations of Hardy- Littlewood-Pólya sequences

Aistleitner, C., Berkes, I. & Tichy, R., 2011, In : Transactions of the American Mathematical Society. 363, p. 6219-6244

Research output: Contribution to journalArticleResearchpeer-review

On the asymptotic behavior of weakly lacunary sequences

Aistleitner, C., Berkes, I. & Tichy, R., 2011, In : Proceedings of the American Mathematical Society. 139, 7, p. 2505-2517

Research output: Contribution to journalArticleResearchpeer-review

On the strong law of large numbers and additive functions

Berkes, I., Müller, W. & Weber, M., 2011, In : Periodica mathematica Hungarica. 62, 1, p. 1-12

Research output: Contribution to journalArticleResearchpeer-review

Probability and metric discrepancy theory

Aistleitner, C. & Berkes, I., 2011, In : Stochastics and dynamics. 11, 1, p. 183-207

Research output: Contribution to journalArticleResearchpeer-review

Split invariance principles for stationary processes

Berkes, I., Hörmann, S. & Schauer, J., 2011, In : The annals of probability. 39, 6, p. 2441-2473

Research output: Contribution to journalArticleResearchpeer-review

Testing for structural change of AR model to threshold AR models

Berkes, I., Horvath, L., Ling, S. & Schauer, J., 2011, In : Journal of time series analysis. 32, 5, p. 547-565

Research output: Contribution to journalArticleResearchpeer-review

2010

Noncentral limit theorems for random selections

Berkes, I., Horváth, L. & Schauer, J., 2010, In : Probability theory and related fields. 147, p. 449-479

Research output: Contribution to journalArticleResearchpeer-review

On functional versions of the arc sine laws

Berkes, I., Hörmann, S. & Horváth, L., 2010, In : Journal of theoretical probability. 23, p. 109-126

Research output: Contribution to journalArticleResearchpeer-review

On the central limit theorem for $f(n_kx)$

Aistleitner, C. & Berkes, I., 2010, In : Probability theory and related fields. 146, p. 267-289

Research output: Contribution to journalArticleResearchpeer-review

Upper-lower class tests for weighted i.i.d. sequences and martingales

Berkes, I., Hörmann, S. & Weber, M., 2010, In : Journal of theoretical probability. 23, p. 428-446

Research output: Contribution to journalArticleResearchpeer-review

2009

Asymptotic results for the empirical process of stationary sequences

Berkes, I. I., Hörmann, S. & Schauer, J., 2009, In : Stochastic processes and their applications. 119, 4, p. 1298-1324 27 p.

Research output: Contribution to journalArticleResearchpeer-review

Strong Invariance Principle
Weak Dependence
Stationary Sequences
Empirical Process
Invariance

Detecting for changes in the mean of functional observations

Berkes, I., Gabrys, R., Horváth, L. & Kokoszka, P., 2009, In : Journal of the Royal Statistical Society / B. 71, 5, p. 927-946

Research output: Contribution to journalArticleResearchpeer-review

Estimation in nonstationary random coefficient autoregressive models

Berkes, I., Horváth, L. & Lin, S., 2009, In : Journal of time series analysis. 30, 4, p. 395-416

Research output: Contribution to journalArticleResearchpeer-review

On functional versions of the arc-sine law

Berkes, I. I., Hörmann, S. & Horvath, L., 2009, In : Journal of theoretical probability. 23, 1, p. 109-126 18 p.

Research output: Contribution to journalArticleResearchpeer-review

On the convergence of $\sum c_k f(n_kx)$

Berkes, I. & Weber, M., 2009, In : Memoirs of the American Mathematical Society. 201, 943, 72 p.

Research output: Contribution to journalArticleResearchpeer-review

On the law of the iterated logarithm for the discrepancy of $\langle n_kx \rangle$

Aistleitner, C. & Berkes, I., 2009, In : Monatshefte für Mathematik. 156, p. 103-121

Research output: Contribution to journalArticleResearchpeer-review

Testing for the changes in the covariance structure of linear processes

Berkes, I., Gombay, E. & Horváth, L., 2009, In : Journal of statistical planning and inference. 139, p. 2044-2063

Research output: Contribution to journalArticleResearchpeer-review

2008

Entropy conditons for subsequences of random variables with applications to empirical processes

Berkes, I., Philipp, W. & Tichy, R., 2008, In : Monatshefte für Mathematik. 153, 3, p. 183-204

Research output: Contribution to journalArticleResearchpeer-review

Selection from a stable box

Aue, A., Berkes, I. & Horváth, L., 2008, In : Bernoulli. 14, p. 125-139

Research output: Contribution to journalArticleResearchpeer-review

The functional central limit theorem for a family of GARCH models

Berkes, I. I., Hörmann, S. & Horvath, L., 2008, In : Statistics & probability letters. 78, 16, p. 2725-2730 6 p.

Research output: Contribution to journalArticleResearchpeer-review

The functional central limit theorem for a family of GARCH observations with applications

Berkes, I., Hörmann, S. & Horváth, L., 2008, In : Statistics & probability letters. 78, p. 2725-2730

Research output: Contribution to journalArticleResearchpeer-review

2007

A note on the existence of solutions to a stochastic recurrence equation

Aue, A., Berkes, I. & Horváth, L., 2007, In : Acta scientiarum mathematicarum. 73, p. 767-779

Research output: Contribution to journalArticleResearchpeer-review

On complete convergence of triangular arrays of independent random variables

Berkes, I. & Weber, M., 2007, In : Statistics & probability letters. 77, 1, p. 952-963

Research output: Contribution to journalArticleResearchpeer-review

On the law of the iterated logarithm for arithmetic functions

Berkes, I. & Weber, M., 2007, In : Proceedings of the American Mathematical Society. 135, p. 1223-1232

Research output: Contribution to journalArticleResearchpeer-review

Pseudorandom numbers and entropy conditions

Tichy, R., Berkes, I. & Philipp, W., 2007, In : Journal of complexity. 23, 4-6, p. 516-527

Research output: Contribution to journalArticleResearchpeer-review

2006

Almost sure version of the Darling-Erdös theorem

Berkes, I. & Weber, M., 2006, In : Statistics & probability letters. 76, 3, p. 280-290

Research output: Contribution to journalArticleResearchpeer-review

Convergence of Integral Functionals of Stochastic Processes

Berkes, I. & Horváth, L., 2006, In : Econometric theory. 22, p. 304-322

Research output: Contribution to journalArticleResearchpeer-review

Empirical processes in probabilistic number theory: the LIL for the discrepancy of $(n_kw)$ mod 1

Berkes, I., Philipp, W. & Tichy, R., 2006, In : Illinois journal of mathematics. 50, 1, p. 107-145

Research output: Contribution to journalArticleResearchpeer-review

Moment convergence and the law of the iterated logarithm for additive functions

Berkes, I. & Weber, M., 2006, In : Acta Arithmetica. p. 43-55

Research output: Contribution to journalArticleResearchpeer-review