| Description |
1 online resource (viii, 317 pages) |
| Series |
Springer proceedings in mathematics & statistics, 2194-1009 ; v. 42 |
|
Springer proceedings in mathematics & statistics ; v. 42.
|
| Contents |
Number Theory. Distribution of Algebraic Numbers and Metric Theory of Diophantine Approximation / V. Bernik, V. Beresnevich, F. Götze, O. Kukso -- Fine-Scale Statistics for the Multidimensional Farey Sequence / Jens Marklof -- Probability Theory. On the Problem of Reversibility of the Entropy Power Inequality / Sergey G. Bobkov, Mokshay M. Madiman -- On Probability Measures with Unbounded Angular Ratio / G.P. Chistyakov -- CLT for Stationary Normal Markov Chains via Generalized Coboundaries / Mikhail Gordin -- Operator-Valued and Multivariate Free Berry-Esseen Theorems / Tobias Mai, Roland Speicher -- A Characterization of Small and Large Time Limit Laws for Self-normalized Lévy Processes / Ross Maller, David M. Mason -- Statistics and Combinatorics. A Nonparametric Theory of Statistics on Manifolds / Rabi Bhattacharya -- Proportion of Gaps and Fluctuations of the Optimal Score in Random Sequence Comparison / Jüri Lember, Heinrich Matzinger, Felipe Torres -- Some Approximation Problems in Statistics and Probability / Yuri V. Prokhorov, Vladimir V. Ulyanov -- Random Matrices. Moderate Deviations for the Determinant of Wigner Matrices / Hanna Döring, Peter Eichelsbacher -- The Semicircle Law for Matrices with Dependent Entries / Olga Friesen, Matthias Löwe -- Limit Theorems for Random Matrices / Alexander Tikhomirov |
| Summary |
"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 the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory. The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Götze, a noted expert in this field."--Publisher's website |
| Analysis |
Mathematics |
|
Functional analysis |
|
Number theory |
|
Distribution (Probability theory) |
|
Probability Theory and Stochastic Processes |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
|
Online resource; title from digital title page (viewed July 19, 2014) |
| In |
Springer eBooks |
| Subject |
Limit theorems (Probability theory)
|
|
MATHEMATICS -- Probability & Statistics -- General.
|
|
Teoremas límite (Teoría de la probabilidad)
|
|
Limit theorems (Probability theory)
|
| Genre/Form |
Festschriften
|
|
Festschriften.
|
| Form |
Electronic book
|
| Author |
Eichelsbacher, Peter
|
| ISBN |
9783642360688 |
|
3642360688 |
|
364236067X |
|
9783642360671 |
|
