Concepedia

Empirical Process Large Deviations

Empirical Process Large Deviations is a theoretical framework within large deviation theory that characterizes the asymptotic exponential decay rates of probabilities associated with deviations of empirical processes from their typical behavior, distinguished by its focus on path-space large deviations for sequences of stochastic processes indexed by function classes.

36

Publications

1.7K

Citations

46

Authors

32

Institutions

Publications per year

2017–2026

1

Parents

Publications

36

A Bennett concentration inequality and its application to suprema of empirical processes

Olivier Bousquet · Comptes Rendus Mathématique · 2002 · 277 citations

, , +8

Probability Inequalities for Empirical Processes and a Law of the Iterated Logarithm

Kenneth S. Alexander · The Annals of Probability · 1984 · 211 citations · Full text

, , +13

Some Strassen-Type Laws of the Iterated Logarithm for Multiparameter Stochastic Processes with Independent Increments

Michael J. Wichura · The Annals of Probability · 1973 · 100 citations

, , +16

Rates of growth and sample moduli for weighted empirical processes indexed by sets

Kenneth S. Alexander · Probability Theory and Related Fields · 1987 · 93 citations · Full text

, , +8

Large deviations of the empirical flow for continuous time Markov chains

Lorenzo Bertini, Alessandra Faggionato, Davide Gabrielli · IRIS Research product catalog (Sapienza University of Rome) · 2015 · 85 citations · Full text

, , +11

1–5 of 36

Authors

46

  1. FD
    Frank den Hollander

    Leiden University, Netherlands

    3 publications · 79 citations

    3

    h-index

  2. TI
    Tadeusz Inglot

    Wrocław University of Science and Technology, Poland

    2 publications · 38 citations

    2

    h-index

  3. LH
    Lajos Horváth

    University of Utah, United States

    2 publications · 64 citations

    2

    h-index

  4. TL
    Teresa Ledwina

    Polish Academy of Sciences, Poland

    2 publications · 38 citations

    2

    h-index

  5. AG
    Andreas Greven

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

    2 publications · 51 citations

    2

    h-index

1–5 of 46

Institutions

32

  1. Leiden University

    Leiden, The Netherlands

    3 h-index

    3 publications

    79 citations

  2. Université Paris-Sud

    Orsay, France

    2 h-index

    6 publications

    114 citations

  3. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Erlangen, Germany

    2 h-index

    2 publications

    51 citations

  4. Australian National University

    Canberra, Australia

    2 h-index

    2 publications

    87 citations

  5. University of Washington

    Seattle, United States

    2 h-index

    2 publications

    112 citations

  6. Carleton University

    Ottawa, Canada

    2 h-index

    2 publications

    63 citations

  7. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    43 citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    1 h-index

    1 publications

    10 citations

1–8 of 32

Venues

  1. The Annals of Probability

    12 publications · 601 citations

    11

    h-index

  2. Stochastic Processes and their Applications

    7 publications · 203 citations

    7

    h-index

  3. Probability Theory and Related Fields

    3 publications · 134 citations

    3

    h-index

  4. Comptes Rendus Mathématique

    1 publications · 277 citations

    1

    h-index

  5. The Annals of Statistics

    1 publications · 25 citations

    1

    h-index

1–5