Concepedia

Continuous Mapping Theorem

The Continuous Mapping Theorem is a fundamental result in probability theory stating that convergence in distribution of a sequence of random variables is preserved under continuous measurable mappings, provided the limit variables almost surely lie in the continuity set of the mapping.

94

Publications

7.4K

Citations

127

Authors

56

Institutions

Publications per year

2017–2026

5

Variants

Mann-wald Theorem

Parents

Publications

94

Convergence of Stochastic Processes.

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

, , +16

Cube Root Asymptotics

Kim Jeankyung, David Pollard · The Annals of Statistics · 1990 · 641 citations

, , +16

Some Useful Functions for Functional Limit Theorems

Ward Whitt · Mathematics of Operations Research · 1980 · 408 citations

, , +13

Stable isomorphism of hereditary subalgebras of<i>C</i><sup>∗</sup>-algebras

Lawrence G. Brown · Pacific Journal of Mathematics · 1977 · 408 citations · Full text

, , +12

Change-Points in Nonparametric Regression Analysis

Hans‐Georg Müller · The Annals of Statistics · 1992 · 369 citations

, , +16

1–5 of 94

Authors

127

  1. YS
    Yunkang Sui

    Beijing University of Technology, China

    4 publications · 79 citations

    4

    h-index

  2. WW
    Ward Whitt

    AT&T (United States), United States

    4 publications · 486 citations

    4

    h-index

  3. WA
    W. A. Kirk

    University of Iowa, United States

    2 publications · 198 citations

    2

    h-index

  4. WF
    William F. Eddy

    Carnegie Mellon University, United States

    2 publications · 52 citations

    2

    h-index

  5. BF
    Brian Fisher

    Simon Fraser University, Canada

    2 publications · 31 citations

    2

    h-index

1–5 of 127

Institutions

56

  1. Beijing University of Technology

    Beijing, China

    4 h-index

    14 publications

    269 citations

  2. Columbia University

    New York, United States

    4 h-index

    7 publications

    580 citations

  3. Purdue University West Lafayette

    West Lafayette, United States

    2 h-index

    2 publications

    446 citations

  4. Yale University

    New Haven, United States

    2 h-index

    2 publications

    2.3K citations

  5. Carnegie Mellon University

    Pittsburgh, United States

    2 h-index

    2 publications

    52 citations

  6. Moscow Power Engineering Institute

    Moscow, Russia

    1 h-index

    2 publications

    40 citations

  7. Science and Technology Department of Sichuan Province

    Chengdu, China

    1 h-index

    1 publications

    12 citations

  8. Sichuan University of Science and Engineering

    Zigong, China

    1 h-index

    2 publications

    24 citations

1–8 of 56

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 12 publications · 334 citations

    11

    h-index

  2. Pacific Journal of Mathematics

    6 publications · 673 citations

    6

    h-index

  3. The Annals of Applied Probability

    4 publications · 176 citations

    4

    h-index

  4. Mathematics of Operations Research

    3 publications · 448 citations

    3

    h-index

  5. Journal of Applied Probability

    JAP · 3 publications · 95 citations

    3

    h-index

1–5