Concepedia

Moderate Deviations Analysis

Moderate Deviations Analysis is a theoretical framework within finite blocklength information theory that characterizes the asymptotic behavior of error probabilities in the regime where deviations from capacity scale slower than the inverse square root of block length, bridging large deviations and central limit scaling.

132

Publications

4.2K

Citations

175

Authors

138

Institutions

Publications per year

2017–2026

20

Parents

Publications

132

Tests for Unit Roots and the Initial Condition

Ulrich K. Müller, Graham Elliott · Econometrica · 2003 · 219 citations

, , +16

A Bernstein type inequality and moderate deviations for weakly dependent sequences

Florence Merlevède, Magda Peligrad, Emmanuel Rio · Probability Theory and Related Fields · 2010 · 179 citations · Full text

, , +11

Moderate Deviations of Dependent Random Variables Related to CLT

Liming Wu · The Annals of Probability · 1995 · 133 citations

, , +13

Probabilities of moderate deviations

N. N. Amosova · Journal of Mathematical Sciences · 1982 · 95 citations

, , +11

THE AVERAGING PRINCIPLE AND THEOREMS ON LARGE DEVIATIONS

Mark Freidlin · Russian Mathematical Surveys · 1978 · 92 citations

, , +13

1–5 of 132

Authors

175

  1. QS
    Qi-Man Shao

    University of Oregon, United States

    10 publications · 220 citations

    10

    h-index

  2. FG
    Fuqing Gao

    Wuhan University, China

    8 publications · 249 citations

    8

    h-index

  3. AG
    Arnaud Guillin

    Université Clermont Auvergne, France

    6 publications · 201 citations

    6

    h-index

  4. HJ
    Hui Jiang

    University of Michigan, United States

    5 publications · 100 citations

    5

    h-index

  5. ML
    Matthias Löwe

    University of Münster, Germany

    4 publications · 113 citations

    4

    h-index

1–5 of 175

Institutions

138

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    17 publications

    629 citations

  2. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    8 h-index

    14 publications

    510 citations

  3. Hong Kong University of Science and Technology

    Hong Kong, Hong Kong

    8 h-index

    13 publications

    371 citations

  4. Wuhan University

    Wuhan, China

    8 h-index

    11 publications

    356 citations

  5. Ruhr University Bochum

    Bochum, Germany

    6 h-index

    7 publications

    179 citations

  6. Stanford University

    Stanford, United States

    5 h-index

    7 publications

    156 citations

  7. Université Clermont Auvergne

    Clermont-Ferrand, France

    5 h-index

    7 publications

    161 citations

  8. The University of Sydney

    Sydney, Australia

    5 h-index

    8 publications

    159 citations

1–8 of 138

Venues

  1. The Annals of Probability

    14 publications · 625 citations

    13

    h-index

  2. Stochastic Processes and their Applications

    9 publications · 227 citations

    9

    h-index

  3. Statistics & Probability Letters

    7 publications · 146 citations

    7

    h-index

  4. The Annals of Statistics

    6 publications · 229 citations

    6

    h-index

  5. Acta Mathematica Sinica English Series

    5 publications · 104 citations

    5

    h-index

1–5