Asymptotic Probability Theory

Research output

Research output per year 1979 1990 1991 1995 1998 2001 2005 2006 2007 2010 2016

• 58 Article
• 5 Chapter
• 1 Book
• 1 Poster
• 1 More
  • 1 Doctoral Thesis

Research output per year

Research output per year

Search results

• 2016

  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 journal › Article › peer-review

  Open Access

  File

  • Extremal 100%
  • Term 100%
  • Continued Fraction 100%
  • Gaussian Distribution 100%
  • Asymptotics 50%
• 2014

  Komlós-Major-Tusnády approximation under dependence

  Berkes, I., Liu, W. & Wu, W. B., 2014, In: The Annals of Probability. 42, 2, p. 794-814

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Stationary Process 100%
  • Causal Process 100%
  • Moment Condition 100%
  • Volterra Process 100%
  • Wiener Process 100%

• On the central limit theorem for modulus trimmed sums

  Bazarova, A., Berkes, I. & Horváth, L., Mar 2014, In: Statistics & Probability Letters. 86, 1, p. 61-67 7 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Central Limit Theorem 100%
  • Stable Laws 50%
  • Weak Convergence 50%
• 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 journal › Article › peer-review

• 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 journal › Article › peer-review
• 2011

  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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-review

  • Stationary Sequence 100%
  • Empirical Process 100%
  • Invariance Principle 50%

• 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 journal › Article › peer-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 journal › Article › peer-review
• 2007

  Critical behavior in almost sure central limit theory

  Hörmann, S., 2007, In: Journal of Theoretical Probability. 20, p. 613-636

  Research output: Contribution to journal › Article › peer-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 journal › Article › peer-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 journal › Article › peer-review

• On the universal a.s. central limit theorem

  Hörmann, S., 2007, In: Acta Mathematica Hungarica. 116, 4, p. 377-398

  Research output: Contribution to journal › Article › peer-review

• Permutation and bootstrap statistics for stable random variables

  Schauer, J., 2007.

  Research output: Contribution to conference › Poster
• 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 journal › Article › peer-review

• An extension of almost sure central limit theory

  Hörmann, S., 2006, In: Statistics & Probability Letters. 76, 2, p. 191-202

  Research output: Contribution to journal › Article › peer-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 journal › Article › peer-review

• Fluctuation analysis of dependent random processes

  Hörmann, S., 2006

  Research output: Thesis › Doctoral Thesis

  Open Access

  File

• 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 journal › Article › peer-review
• 2005

  A note on the almost sure convergence of central order statistics

  Hörmann, S., 2005, In: Probability and Mathematical Statistics. 25, 2, p. 317-329

  Research output: Contribution to journal › Article

• Optimal Averaging Procedures in Almost Sure Central Limit Theory

  Hörmann, S., 2005, In: Metodološki zvezki. 2, 2, p. 271-282

  Research output: Contribution to journal › Article

• Upper-lower class tests and frequency results along subsequences

  Berkes, I. & Weber, M., 2005, In: Stochastic Processes and their Applications . 115, 4, p. 679-700

  Research output: Contribution to journal › Article › peer-review
• 2002

  Almost sure limit theorems for sums and maxima from the domain of geometrical partial attraction of semistable laws

  Berkes, I., Csaki, E. & Csörgö, M., 2002, Limit Theorems in Probability and Statistics. Volume I ed. Budapest: J. Bolyai Math. Society, p. 133-157

  Research output: Chapter in Book/Report/Conference proceeding › Chapter

• Limit Theorems in Probability and Statistics, Vol. I

  Berkes, I. (ed.), Csaki, E. (ed.) & Csörgo, M. (ed.), 2002, 1 ed. Budapest: Janos Bolyai Math. Society.

  Research output: Book/Report › Book
• 2001

  A universal result in almost sure central limit theory

  Berkes, I. & Csaki, E., 2001, In: Stochastic Processes and their Applications . 94, p. 105-134

  Research output: Contribution to journal › Article › peer-review

• Central limit theorems for logarithmic averages

  Berkes, I., Horvath, L. & Chen, X., 2001, In: Studia Scientiarum Mathematicarum Hungarica. 38, p. 79-96

  Research output: Contribution to journal › Article › peer-review

• Pair correlation and U-statistics for independent and weakly dependent random variables

  Berkes, I., Philipp, W. & Tichy, R., 2001, In: Illinois Journal of Mathematics. 45, p. 559-580

  Research output: Contribution to journal › Article › peer-review

• The law of large numbers with exceptional sets

  Berkes, I., 2001, In: Statistics & Probability Letters. 55, p. 431-438

  Research output: Contribution to journal › Article › peer-review

• The logarithmic average of sample extremes is asymptotically normal

  Berkes, I. & Horvath, L., 2001, In: Stochastic Processes and their Applications . 91, p. 77-98

  Research output: Contribution to journal › Article › peer-review
• 1999

  Almost sure limit theorems for the St. Petersburg game

  Berkes, I., Csaki, E. & Csörgö, M., 1999, In: Statistics & Probability Letters. 45, p. 223-30

  Research output: Contribution to journal › Article › peer-review

• Limit theorems for logarithmic averages of fractional Brownian motion

  Berkes, I. & Horvath, L., 1999, In: Journal of Theoretical Probability. 12, p. 985-1009

  Research output: Contribution to journal › Article › peer-review
• 1998

  A limit theorem for lacunary series sum(f(n_kx)

  Berkes, I. & Philipp, W., 1998, In: Studia Scientiarum Mathematicarum Hungarica. 34, p. 1-13

  Research output: Contribution to journal › Article › peer-review

• Almost sure central limit theorems under minimal conditions

  Berkes, I., Csaki, E. & Horvath, L., 1998, In: Statistics & Probability Letters. 37, p. 67-76

  Research output: Contribution to journal › Article › peer-review

• Limit theorems for logarithmic averages of random vectors

  Berkes, I. & Horvath, L., 1998, In: Mathematische Nachrichten. 195, p. 5-16

  Research output: Contribution to journal › Article › peer-review

• Limit theorems for phi-mixing sequences without rare assumptions

  Berkes, I. & Philipp, W., 1998, In: The Annals of Probability. 26, p. 805-831

  Research output: Contribution to journal › Article › peer-review

• Logarithmic averages of stable random variables are asymptotically normal

  Berkes, I. & Horvath, L., 1998, In: Stochastic Processes and their Applications . 77, p. 35-51

  Research output: Contribution to journal › Article › peer-review

• Results and problems related to pointwise central limit theorem

  Berkes, I., 1998, Asymptotic results in probability and statistics (a volume in honour of Mikos Csörgö). 1 ed. Amsterdam: Elsevier B.V., p. 59-96

  Research output: Chapter in Book/Report/Conference proceeding › Chapter
• 1997

  Almost sure invariance principles for logarithmic averages

  Berkes, I. & Horvath, L., 1997, In: Studia Scientiarum Mathematicarum Hungarica. 33, p. 1-24

  Research output: Contribution to journal › Article › peer-review

• On the convergence of sum(c_nf(nx)) and the Lip 1/2 class

  Berkes, I., 1997, In: Transactions of the American Mathematical Society. 349, p. 4143-4158

  Research output: Contribution to journal › Article › peer-review
• 1996

  Between local and global logarithmic averages

  Berkes, I. & Horvath, L., 1996, In: Statistics & Probability Letters. 30, p. 369-378

  Research output: Contribution to journal › Article › peer-review

• On the pointwise central limit theorem and mixtures of normal distributions

  Berkes, I. & Csaki, E., 1996, In: Statistics & Probability Letters. 29, p. 361-368

  Research output: Contribution to journal › Article › peer-review
• 1995

  An optimal condition for the LIL for trigonometric series

  Berkes, I., 1995, In: Transactions of the American Mathematical Society. 347, p. 515-530

  Research output: Contribution to journal › Article › peer-review

• Lacunary series and conditional independence

  Berkes, I., 1995, In: Acta Mathematica Hungarica. 67, p. 253-259

  Research output: Contribution to journal › Article › peer-review

• On the a.s. central limit theorem and domains of attraction

  Berkes, I., 1995, In: Probability theory and related fields. 102, p. 1-18

  Research output: Contribution to journal › Article › peer-review
• 1994

  On the almost sure central limit theorem for random variables with infinite variance

  Berkes, I. & Dehling, H., 1994, In: Journal of Theoretical Probability. 7, p. 667-680

  Research output: Contribution to journal › Article › peer-review
• 1993

  Critical LIL behavior of the trigonometric series

  Berkes, I., 1993, In: Transactions of the American Mathematical Society. 338, p. 553-585

  Research output: Contribution to journal › Article › peer-review