Concepedia

Third-order Asymptotics

Third-Order Asymptotics is a refinement in finite blocklength information theory that characterizes the non-asymptotic fundamental limits of communication systems by identifying the precise $O(1/\sqrt{n})$-order terms in the expansion of coding rates, thereby distinguishing itself from first- and second-order asymptotic analyses by capturing the dominant error contributions beyond the Gaussian approximation.

64

Publications

1.8K

Citations

105

Authors

60

Institutions

Publications per year

2017–2026

4

Parents

Publications

64

Asymptotic Estimates in Information Theory with Non-Vanishing Error Probabilities

Vincent Y. F. Tan · Foundations and Trends® in Communications and Information Theory · 2014 · 137 citations

, , +16

Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

Lynn Erbe, Allan Peterson, Samir H. Saker · Journal of Computational and Applied Mathematics · 2004 · 93 citations

, , +10

Restricted and Unrestricted Reduced Forms: Asymptotic Distribution and Relative Efficiency

P. J. Dhrymes · Econometrica · 1980 · 85 citations

, , +9

A Tight Upper Bound for the Third-Order Asymptotics for Most Discrete Memoryless Channels

IEEE Transactions on Information Theory · 2013 · 69 citations · Full text

, , +15

1 A Tight Upper Bound for the Third-Order Asymptotics for Most Discrete Memoryless Channels

2013 · 68 citations

, , +14

1–5 of 64

Authors

105

  1. VY
    Vincent Y. F. Tan

    National University of Singapore, Singapore

    3 publications · 166 citations

    3

    h-index

  2. JD
    Jozef Džurina

    Technical University of Košice, Slovakia

    2 publications · 64 citations

    2

    h-index

  3. SP
    Seshadev Padhi

    Birla Institute of Technology, Mesra, India

    2 publications · 51 citations

    2

    h-index

  4. MT
    Masanobu Taniguchi

    Hiroshima University, Japan

    2 publications · 78 citations

    2

    h-index

  5. CB
    Charles B. Balogh

    2 publications · 84 citations

    2

    h-index

1–5 of 105

Institutions

60

  1. National University of Singapore

    Singapore, Singapore

    4 h-index

    4 publications

    234 citations

  2. The University of Tokyo

    Tokyo, Japan

    4 h-index

    4 publications

    75 citations

  3. Hiroshima University

    Hiroshima, Japan

    3 h-index

    3 publications

    86 citations

  4. Kobe University

    Kobe, Japan

    2 h-index

    2 publications

    40 citations

  5. Agency for Science, Technology and Research

    Singapore, Singapore

    2 h-index

    2 publications

    80 citations

  6. Centre for Quantum Technologies

    Singapore, Singapore

    2 h-index

    2 publications

    80 citations

  7. National Cheng Kung University

    Tainan City, Taiwan

    2 h-index

    3 publications

    62 citations

  8. Baylor University

    Waco, United States

    2 h-index

    8 publications

    278 citations

1–8 of 60

Venues

  1. 4

    h-index

  2. Nonlinear Analysis

    3 publications · 77 citations

    3

    h-index

  3. 3

    h-index

  4. Computers & Mathematics with Applications

    2 publications · 80 citations

    2

    h-index

  5. Journal of Multivariate Analysis

    2 publications · 78 citations

    2

    h-index

1–5