Concepedia

Probability Inequalities

Probability Inequalities is a fundamental concept in Probability Theory that refers to a class of mathematical statements providing upper or lower bounds on the probabilities of events or the tails of distributions, distinguished from exact probability computations by their focus on bounding probabilistic quantities under minimal assumptions.

6.2K

Publications

316.9K

Citations

6.3K

Authors

2.1K

Institutions

Publications per year

2017–2026

758

Variants

Inequalities In ProbabilityProbability Inequality

Parents

Children

Publications

6.2K

The upper bound revisited

Lloyd M. Robeson · Journal of Membrane Science · 2008 · 5.8K citations

, , +5

Inequalities: Theory of Majorization and its Applications.

Barry C. Arnold, Albert W. Marshall, Ingram Olkin · Journal of the American Statistical Association · 1981 · 5K citations

, , +14

Probability Inequalities for Sums of Bounded Random Variables

Wassily Hoeffding · Journal of the American Statistical Association · 1963 · 4.8K citations

, , +12

The Class of Additively Decomposable Inequality Measures

Anthony Shorrocks · Econometrica · 1980 · 1.7K citations

, , +6

Negative Association of Random Variables with Applications

Kumar Joag‐Dev, Frank Proschan · The Annals of Statistics · 1983 · 1.5K citations

, , +5

1–5 of 6.2K

Authors

6.3K

  1. YC
    Yu‐Ming Chu

    Huzhou University, China

    93 publications · 4.2K citations

    38

    h-index

  2. FQ
    Feng Qi

    Henan Polytechnic University, China

    83 publications · 2.5K citations

    32

    h-index

  3. SS
    Sever S Dragomir

    Victoria University, Australia

    78 publications · 3.2K citations

    29

    h-index

  4. ‎P
    ‎Josip Pečarić

    University of Zagreb, Croatia

    99 publications · 3K citations

    28

    h-index

  5. SG
    Sergey G. Bobkov

    University of Minnesota, United States

    24 publications · 1.5K citations

    19

    h-index

1–5 of 6.3K

Institutions

2.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    38 h-index

    149 publications

    8K citations

  2. Huzhou University

    Huzhou, China

    33 h-index

    93 publications

    4.8K citations

  3. Princeton University

    Princeton, United States

    32 h-index

    71 publications

    7K citations

  4. Stanford University

    Stanford, United States

    31 h-index

    77 publications

    22.5K citations

  5. University of Illinois Urbana-Champaign

    Urbana, United States

    30 h-index

    58 publications

    3K citations

  6. University of California, Berkeley

    Berkeley, United States

    29 h-index

    78 publications

    5K citations

  7. Georgia Institute of Technology

    Atlanta, United States

    28 h-index

    64 publications

    4.1K citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    27 h-index

    54 publications

    4K citations

1–8 of 2.1K

Venues

  1. The Annals of Probability

    206 publications · 16.6K citations

    69

    h-index

  2. IEEE Transactions on Information Theory

    154 publications · 12.2K citations

    57

    h-index

  3. The Annals of Mathematical Statistics

    98 publications · 9.5K citations

    48

    h-index

  4. Journal of Mathematical Analysis and Applications

    226 publications · 8.3K citations

    45

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 127 publications · 5.4K citations

    37

    h-index

1–5