Concepedia

Measure-theoretic Probability

Measure-Theoretic Probability is a formal framework in probability theory that interprets probability as a special case of measure theory, where probabilities are defined as countably additive measures on a σ-algebra of events in a sample space.

3.3K

Publications

236.1K

Citations

3.5K

Authors

1.3K

Institutions

Publications per year

2017–2026

184

Variants

Measure Theoretic Probability

Parents

Children

Publications

3.3K

An introduction to probability theory and its applications

Journal of the Franklin Institute · 1958 · 30K citations

, , +11

Probability and Measure.

PE, P. Billingsley · Journal of the American Statistical Association · 1996 · 6.7K citations

, , +16

An Introduction to Probability Theory and Its Applications.

A. T. Bharucha-Reid, William Feller · American Mathematical Monthly · 1967 · 6.2K citations

, , +11

Upper and Lower Probabilities Induced by a Multivalued Mapping

A. P. Dempster · The Annals of Mathematical Statistics · 1967 · 6K citations · Full text

, , +11

An Introduction to Probability Theory and its Applications.

J. F. C. Kingmán, W. Feller · Journal of the Royal Statistical Society Series A (General) · 1972 · 5.1K citations

, , +11

1–5 of 3.3K

Authors

3.5K

  1. MT
    Michel Talagrand

    Sorbonne Université, France

    12 publications · 1.5K citations

    12

    h-index

  2. JF
    J. F. C. Kingmán

    University of Oxford, United Kingdom

    10 publications · 7K citations

    10

    h-index

  3. GD
    Gert de Cooman

    Ghent University, Belgium

    9 publications · 582 citations

    9

    h-index

  4. EP
    Endre Pap

    University of Novi Sad, Serbia

    9 publications · 462 citations

    9

    h-index

  5. RM
    Radko Mesiar

    Slovak University of Technology in Bratislava, Slovakia

    9 publications · 353 citations

    9

    h-index

1–5 of 3.5K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    25 h-index

    79 publications

    4.7K citations

  2. University of California, Berkeley

    Berkeley, United States

    22 h-index

    28 publications

    4.8K citations

  3. Sorbonne Université

    Paris, France

    19 h-index

    27 publications

    2.6K citations

  4. Hebrew University of Jerusalem

    Jerusalem, Israel

    18 h-index

    29 publications

    1.9K citations

  5. Institute of Mathematics

    Warsaw, Poland

    18 h-index

    40 publications

    1.1K citations

  6. Université Paris Cité

    Paris, France

    17 h-index

    27 publications

    767 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    17 h-index

    20 publications

    1.8K citations

  8. Stanford University

    Stanford, United States

    17 h-index

    23 publications

    967 citations

1–8 of 1.3K

Venues

  1. The Annals of Probability

    120 publications · 6.9K citations

    44

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 112 publications · 5.7K citations

    39

    h-index

  3. Pacific Journal of Mathematics

    95 publications · 3.7K citations

    34

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 118 publications · 3.9K citations

    31

    h-index

  5. Fuzzy Sets and Systems

    84 publications · 3.6K citations

    29

    h-index

1–5