Concepedia

Random Field Excursion Sets

Random Field Excursion Sets is a mathematical construct that denotes the subset of a spatial domain where a random field exceeds a specified threshold, distinguished from other level sets by its probabilistic characterization and topological structure under stochastic variability.

53

Publications

2.8K

Citations

76

Authors

81

Institutions

Publications per year

2017–2026

13

Parents

Publications

53

Local Maxima and the Expected Euler Characteristic of Excursion Sets of <i>χ <sup>2</sup>, F</i> and <i>t</i> Fields

Keith J. Worsley · Advances in Applied Probability · 1994 · 355 citations

, , +17

Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ 2, F and t Fields

Keith J. Worsley · Advances in Applied Probability · 1994 · 312 citations

, , +17

On excursion sets, tube formulas and maxima of random fields

Robert J. Adler · The Annals of Applied Probability · 2000 · 206 citations · Full text

, , +15

Testing for a Signal with Unknown Location and Scale in a Stationary Gaussian Random Field

David Siegmund, Keith J. Worsley · The Annals of Statistics · 1995 · 188 citations · Full text

, , +16

The detection of local shape changes via the geometry of Hotelling's $T^2$ fields

Jin Cao, Keith J. Worsley · The Annals of Statistics · 1999 · 154 citations · Full text

, , +14

1–5 of 53

Authors

76

  1. KJ
    Keith J. Worsley

    McGill University, Canada

    8 publications · 1.1K citations

    8

    h-index

  2. RJ
    Robert J. Adler

    Technion – Israel Institute of Technology, Israel

    7 publications · 521 citations

    7

    h-index

  3. JT
    Jonathan Taylor

    Stanford University, United States

    4 publications · 255 citations

    4

    h-index

  4. DJ
    David J. Nott

    National University of Singapore, Singapore

    3 publications · 87 citations

    3

    h-index

  5. PR
    Pierre‐François Rodriguez

    Imperial College London, United Kingdom

    3 publications · 73 citations

    3

    h-index

1–5 of 76

Institutions

81

  1. McGill University

    Montreal, Canada

    5 h-index

    7 publications

    907 citations

  2. Stanford University

    Stanford, United States

    4 h-index

    8 publications

    511 citations

  3. UNSW Sydney

    Sydney, Australia

    4 h-index

    4 publications

    71 citations

  4. Korea Institute for Advanced Study

    Seoul, South Korea

    3 h-index

    4 publications

    124 citations

  5. Technion – Israel Institute of Technology

    Haifa, Israel

    3 h-index

    4 publications

    459 citations

  6. Imperial College London

    London, United Kingdom

    3 h-index

    3 publications

    73 citations

  7. La Trobe University

    Melbourne, Australia

    2 h-index

    2 publications

    52 citations

  8. University of Geneva

    Geneva, Switzerland

    2 h-index

    2 publications

    47 citations

1–8 of 81

Venues

  1. The Annals of Probability

    6 publications · 308 citations

    6

    h-index

  2. Advances in Applied Probability

    AAP · 4 publications · 460 citations

    4

    h-index

  3. The Annals of Statistics

    4 publications · 546 citations

    4

    h-index

  4. 3

    h-index

  5. The Annals of Applied Probability

    3 publications · 353 citations

    3

    h-index

1–5