Limit Theorems in Probability, Statistics and Number Theory In Honor of Friedrich Götze /

Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and t...

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Corporate Author: SpringerLink (Online service)
Other Authors: Eichelsbacher, Peter. (Editor, http://id.loc.gov/vocabulary/relators/edt), Elsner, Guido. (Editor, http://id.loc.gov/vocabulary/relators/edt), Kösters, Holger. (Editor, http://id.loc.gov/vocabulary/relators/edt), Löwe, Matthias. (Editor, http://id.loc.gov/vocabulary/relators/edt), Merkl, Franz. (Editor, http://id.loc.gov/vocabulary/relators/edt), Rolles, Silke. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:Springer Proceedings in Mathematics & Statistics, 42
Subjects:
Online Access:https://doi.org/10.1007/978-3-642-36068-8
Table of Contents:
  • W. van Zwet: A conversation with Friedrich Götze
  • V. Bernik, V. Beresnevich, F. Götze, O. Kukso: Distribution of algebraic numbers and metric theory of Diophantine approximation
  • J. Marklof: Fine-scale statistics for the multidimensional Farey sequence
  • S. G. Bobkov, M. M. Madiman: On the problem of reversibility of the entropy power inequality
  • G. P. Chistyakov: On probability measures with unbounded angular ratio
  • M. Gordin: CLT for stationary normal Markov chains via generalized coboundaries
  • T. Mai, R. Speicher: Operator-valued and multivariate free Berry-Esseen theorems
  • T. Mai, R. Speicher: Operator-valued and multivariate free Berry-Esseen theorems
  • R. Bhattacharya: A nonparametric theory of statistics on manifolds
  • J. Lember, H. Matzinger, F. Torres: Proportion of gaps and uctuations of the optimal score in random sequence comparison
  • Y. V. Prokhorov, V. V. Ulyanov: Some approximation problems in statistics and probability
  • H. Döring, P. Eichelsbacher: Moderate deviations for the determinant of Wigner matrices
  • O. Friesen, M. Löwe: The semicircle law for matrices with dependent entries
  • A. Tikhomirov: Limit theorems for random matrices.