Concepedia

Weak Convergence

Weak Convergence is a mode of convergence of probability measures in which a sequence of measures converges to a limiting measure if and only if the integrals of all bounded continuous functions with respect to the sequence converge to the integral with respect to the limit.

7.6K

Publications

346.3K

Citations

7.5K

Authors

2.1K

Institutions

Publications per year

2017–2026

696

Variants

Weak Convergence Of Probability Measures

Parents

Children

Publications

7.6K

Limit Theorems for Stochastic Processes.

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

, , +16

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

, , +12

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Z. Opial · Bulletin of the American Mathematical Society · 1967 · 2.3K citations · Full text

, , +10

Convergence of Stochastic Processes.

Peter M. Robinson, David Pollard · Economica · 1985 · 2.3K citations

, , +16

Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus

Stefan Hilger · Results in Mathematics · 1990 · 2K citations

, , +10

1–5 of 7.6K

Authors

7.5K

  1. WT
    Wataru Takahashi

    Tokyo Institute of Technology, Japan

    54 publications · 6.7K citations

    32

    h-index

  2. SA
    S. A. Mohiuddine

    King Abdulaziz University, Saudi Arabia

    33 publications · 2.2K citations

    25

    h-index

  3. M‎
    M. ‎Mursaleen

    Aligarh Muslim University, India

    50 publications · 2.1K citations

    24

    h-index

  4. BC
    Binod Chandra Tripathy

    Institute of Advanced Study in Science and Technology, India

    26 publications · 1.2K citations

    20

    h-index

  5. DY
    Dachun Yang

    Beijing Normal University, China

    27 publications · 971 citations

    20

    h-index

1–5 of 7.5K

Institutions

2.1K

  1. Sorbonne Université

    Paris, France

    34 h-index

    65 publications

    5.8K citations

  2. Tokyo Institute of Technology

    Tokyo, Japan

    33 h-index

    94 publications

    11.4K citations

  3. Aligarh Muslim University

    Aligarh, India

    29 h-index

    91 publications

    4.7K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    29 h-index

    116 publications

    4.8K citations

  5. Beijing Normal University

    Beijing, China

    27 h-index

    112 publications

    3.9K citations

  6. Université Paris Cité

    Paris, France

    26 h-index

    60 publications

    3.7K citations

  7. Institute of Mathematics

    Warsaw, Poland

    26 h-index

    107 publications

    3.6K citations

  8. The Ohio State University

    Columbus, United States

    25 h-index

    62 publications

    4.6K citations

1–8 of 2.1K

Venues

  1. Journal of Mathematical Analysis and Applications

    386 publications · 20.3K citations

    61

    h-index

  2. The Annals of Probability

    193 publications · 12.3K citations

    59

    h-index

  3. Nonlinear Analysis

    158 publications · 10.2K citations

    51

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 202 publications · 8.6K citations

    49

    h-index

  5. Journal of Functional Analysis

    186 publications · 8.5K citations

    48

    h-index

1–5