Concepedia

Level-1 Large Deviations

Level-1 Large Deviations is a large deviations principle characterizing the exponential decay rate of probabilities of rare events for empirical means of independent and identically distributed random variables, distinguished by its focus on the first-level (one-dimensional) projections of the sample mean in the context of Cramér’s theorem.

177

Publications

17.6K

Citations

268

Authors

152

Institutions

Publications per year

2017–2026

10

Variants

Level 1 Large Deviations

Parents

Publications

177

Introduction to Mathematical Statistics.

Aa, Robert V. Hogg, Allen T. Craig · Journal of the American Statistical Association · 1996 · 2.9K citations

, , +12

The Annals of Mathematical Statistics

Wilford Isbell King · The Annals of Mathematical Statistics · 1930 · 833 citations · Full text

, , +12

Introduction to Mathematical Statistics.

Kjell A. Doksum, R. V. Hogg, A. T. Craig · Journal of the American Statistical Association · 1971 · 806 citations

, , +12

Introduction to Mathematical Statistics.

Murray Hochberg, Paul G. Hoel · American Mathematical Monthly · 1974 · 763 citations

, , +12

Chapter 16: Special Topics in Statistics

Julian P. T. Higgins, Jonathan J Deeks, David Altman · 2008 · 698 citations

, , +14

1–5 of 177

Authors

268

  1. PG
    Paul G. Hoel

    University of California, Los Angeles, United States

    8 publications · 1.9K citations

    8

    h-index

  2. CE
    C. E. Weatherburn

    5 publications · 305 citations

    5

    h-index

  3. RV
    Robert V. Hogg

    University of Iowa, United States

    4 publications · 3.4K citations

    4

    h-index

  4. YV
    Yu. V. Linnik

    4 publications · 1.1K citations

    4

    h-index

  5. PD
    Paul Dupuis

    Brown University, United States

    4 publications · 99 citations

    4

    h-index

1–5 of 268

Institutions

152

  1. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    14 publications

    579 citations

  2. Brown University

    Providence, United States

    5 h-index

    11 publications

    246 citations

  3. University of Wisconsin–Madison

    Madison, United States

    5 h-index

    5 publications

    181 citations

  4. Sorbonne Université

    Paris, France

    4 h-index

    6 publications

    176 citations

  5. University of Manchester

    Manchester, United Kingdom

    4 h-index

    4 publications

    155 citations

  6. Université Paris Cité

    Paris, France

    4 h-index

    6 publications

    148 citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    4 h-index

    5 publications

    268 citations

  8. University of Science and Technology of China

    Hefei, China

    3 h-index

    3 publications

    50 citations

1–8 of 152

Venues

  1. Journal of the American Statistical Association

    16 publications · 5.4K citations

    15

    h-index

  2. Technometrics

    14 publications · 2K citations

    13

    h-index

  3. Stochastic Processes and their Applications

    15 publications · 563 citations

    12

    h-index

  4. Probability Theory and Related Fields

    8 publications · 329 citations

    8

    h-index

  5. Journal of Statistical Physics

    8 publications · 457 citations

    8

    h-index

1–5