Concepedia

Limit Theorems

Limit Theorems is a fundamental concept in Probability Theory that refers to a class of results characterizing the asymptotic behavior of sequences of random variables or their distributions under specified conditions.

13.6K

Publications

698.9K

Citations

11.8K

Authors

2.7K

Institutions

Publications per year

2017–2026

939

Parents

Children

Publications

13.6K

On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other

H. B. Mann, Douglas R. Whitney · The Annals of Mathematical Statistics · 1947 · 13.9K citations · Full text

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Limit Theorems for Stochastic Processes.

Ditlev Monrad, Jean Jacod, Albert N. Shiryaev · Journal of the American Statistical Association · 1988 · 4.2K citations

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Limiting forms of the frequency distribution of the largest or smallest member of a sample

Ronald Aylmer Fisher, L. H. C. Tippett · Mathematical Proceedings of the Cambridge Philosophical Society · 1928 · 3.3K citations

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Time Series Regression with a Unit Root

P. C. B. Phillips · Econometrica · 1987 · 2.9K citations

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Martingale Limit Theory and its Application.

R. M. Loynes, Peter Hall, C. C. Heyde · Journal of the Royal Statistical Society Series A (General) · 1984 · 2.8K citations · Full text

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1–5 of 13.6K

Authors

11.8K

  1. SJ
    Svante Janson

    Uppsala University, Sweden

    52 publications · 3.5K citations

    31

    h-index

  2. SI
    Sidney I. Resnick

    Cornell University, United States

    43 publications · 2.6K citations

    28

    h-index

  3. FG
    Friedrich Götze

    Bielefeld University, Germany

    42 publications · 2K citations

    25

    h-index

  4. DM
    David M. Mason

    University of Delaware, United States

    31 publications · 2K citations

    23

    h-index

  5. ZB
    Zhidong Bai

    Northeast Normal University, China

    35 publications · 3.4K citations

    23

    h-index

1–5 of 11.8K

Institutions

2.7K

  1. Centre National de la Recherche Scientifique

    Paris, France

    52 h-index

    391 publications

    19.1K citations

  2. Sorbonne Université

    Paris, France

    43 h-index

    162 publications

    10.7K citations

  3. Stanford University

    Stanford, United States

    43 h-index

    152 publications

    6.9K citations

  4. Université Paris Cité

    Paris, France

    42 h-index

    154 publications

    6.2K citations

  5. University of California, Berkeley

    Berkeley, United States

    41 h-index

    104 publications

    9.3K citations

  6. Princeton University

    Princeton, United States

    39 h-index

    111 publications

    9K citations

  7. Cornell University

    Ithaca, United States

    39 h-index

    149 publications

    7K citations

  8. Australian National University

    Canberra, Australia

    37 h-index

    112 publications

    5.8K citations

1–8 of 2.7K

Venues

  1. The Annals of Probability

    869 publications · 60K citations

    122

    h-index

  2. The Annals of Statistics

    238 publications · 30.1K citations

    82

    h-index

  3. The Annals of Mathematical Statistics

    255 publications · 37.9K citations

    78

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 290 publications · 16.5K citations

    66

    h-index

  5. Theory of Probability and Its Applications

    413 publications · 24.1K citations

    62

    h-index

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