Concepedia

Standard Probability Spaces

Standard Probability Spaces is a probability space that is isomorphic to the unit interval with Lebesgue measure or a countable disjoint union of such intervals, distinguished by its completeness, separability, and the existence of regular conditional probabilities, thereby ensuring analytic tractability and universality in probabilistic constructions.

55

Publications

2.4K

Citations

75

Authors

53

Institutions

Publications per year

2017–2026

5

Parents

Publications

55

Conversion from nonstandard to standard measure spaces and applications in probability theory

Peter A. Loeb · Transactions of the American Mathematical Society · 1975 · 389 citations

, , +11

Object identification in a Bayesian context

Timothy Huang, Stuart Russell · 1997 · 167 citations

, , +12

Standard Probability and Statistics Tables and Formulae

Technometrics · 2001 · 110 citations

, , +11

On Existence and Non-Existence of Proper, Regular, Conditional Distributions

David Blackwell, Lester E. Dubins · The Annals of Probability · 1975 · 95 citations · Full text

, , +15

Entropy and Mixing for Amenable Group Actions

Daniel J. Rudolph, Benjamin Weiss · Annals of Mathematics · 2000 · 91 citations

, , +9

1–5 of 55

Authors

75

  1. HL
    Hanfeng Li

    University at Buffalo, State University of New York, United States

    2 publications · 111 citations

    2

    h-index

  2. GH
    Greg Hjorth

    University of California, Los Angeles, United States

    2 publications · 149 citations

    2

    h-index

  3. PA
    Peter A. Loeb

    University of Illinois Urbana-Champaign, United States

    2 publications · 474 citations

    2

    h-index

  4. YK
    Yoshikata Kida

    Kyoto University, Japan

    2 publications · 21 citations

    2

    h-index

  5. ML
    Mariusz Lemańczyk

    Nicolaus Copernicus University, Poland

    2 publications · 47 citations

    2

    h-index

1–5 of 75

Institutions

53

  1. Texas A&M University

    College Station, United States

    4 h-index

    5 publications

    220 citations

  2. The University of Tokyo

    Tokyo, Japan

    3 h-index

    3 publications

    60 citations

  3. Institute of Mathematics

    Warsaw, Poland

    3 h-index

    3 publications

    58 citations

  4. University at Buffalo, State University of New York

    Buffalo, United States

    3 h-index

    4 publications

    205 citations

  5. Buffalo State University

    Buffalo, United States

    2 h-index

    3 publications

    172 citations

  6. Wrocław University of Science and Technology

    Wroclaw, Poland

    2 h-index

    3 publications

    31 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    65 citations

  8. Vanderbilt University

    Nashville, United States

    2 h-index

    2 publications

    100 citations

1–8 of 53

Venues

  1. Ergodic Theory and Dynamical Systems

    4 publications · 92 citations

    4

    h-index

  2. Duke Mathematical Journal

    DMJ · 3 publications · 99 citations

    3

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 3 publications · 547 citations

    3

    h-index

  4. ArXiv.org

    Repository · 3 publications · 95 citations

    3

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 2 publications · 48 citations

    2

    h-index

1–5