Concepedia

Bernstein Inequality

Bernstein Inequality is a probability inequality that bounds the deviation of a sum of independent, centered random variables from its mean by incorporating both variance and boundedness information, thereby providing sharper exponential concentration guarantees than inequalities relying solely on variance.

764

Publications

31.8K

Citations

1.1K

Authors

585

Institutions

Publications per year

2017–2026

132

Variants

Bernstein's Inequality

Parents

Publications

764

Convex Approximations of Chance Constrained Programs

Arkadi Nemirovski, Alexander Shapiro · SIAM Journal on Optimization · 2006 · 1.2K citations

, , +17

Minimal cones and the Bernstein problem

Enrico Bombieri, Ennio De Giorgi, Enrico Giusti · Inventiones mathematicae · 1969 · 655 citations

, , +7

A Framework of Robust Transmission Design for IRS-Aided MISO Communications With Imperfect Cascaded Channels

Gui Zhou, Cunhua Pan, Hong Ren et al. · IEEE Transactions on Signal Processing · 2020 · 546 citations · Full text

, , +13

4 Consistency of Spectral Clustering in Stochastic Block Models

2014 · 519 citations

, , +16

Generalization of Bernstein's polynomials to the infinite interval

Otto Szász · Journal of research of the National Bureau of Standards · 1950 · 499 citations

, , +3

1–5 of 764

Authors

1.1K

  1. SG
    Sorin G. Gal

    University of Oradea, Romania

    9 publications · 221 citations

    9

    h-index

  2. TE
    Tamás Erdélyi

    Texas A&M University, United States

    9 publications · 207 citations

    9

    h-index

  3. ZD
    Z. Ditzian

    University of Alberta, Canada

    8 publications · 350 citations

    8

    h-index

  4. DS
    D. S. Lubinsky

    University of the Witwatersrand, South Africa

    8 publications · 203 citations

    8

    h-index

  5. PB
    Peter Borwein

    Simon Fraser University, Canada

    7 publications · 183 citations

    7

    h-index

1–5 of 1.1K

Institutions

585

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    21 publications

    1.1K citations

  2. Technical University of Cluj-Napoca

    Cluj-Napoca, Romania

    12 h-index

    19 publications

    586 citations

  3. University of Duisburg-Essen

    Essen, Germany

    10 h-index

    15 publications

    498 citations

  4. University of Alberta

    Edmonton, Canada

    10 h-index

    11 publications

    743 citations

  5. Institute of Mathematics and Informatics

    Sofia, Bulgaria

    9 h-index

    12 publications

    365 citations

  6. Alfréd Rényi Institute of Mathematics

    Budapest, Hungary

    8 h-index

    11 publications

    253 citations

  7. University of Oradea

    Oradea, Romania

    8 h-index

    13 publications

    338 citations

  8. Hungarian Academy of Sciences

    Budapest, Hungary

    8 h-index

    11 publications

    259 citations

1–8 of 585

Venues

  1. Journal of Approximation Theory

    67 publications · 2.3K citations

    29

    h-index

  2. 19

    h-index

  3. Applied Mathematics and Computation

    25 publications · 1.2K citations

    18

    h-index

  4. arXiv (Cornell University)

    Repository · 32 publications · 519 citations

    14

    h-index

  5. Constructive Approximation

    17 publications · 609 citations

    13

    h-index

1–5