Concepedia

Infinitely Divisible Distributions

Infinitely Divisible Distributions is a probability distribution that can be expressed as the distribution of the sum of an arbitrary number of independent and identically distributed random variables for any positive integer.

285

Publications

13.2K

Citations

327

Authors

205

Institutions

Publications per year

2017–2026

13

Parents

Publications

285

Unimodality, Convexity, and Applications.

Wai Kiu Chan, Sudhakar Dharmadhikari, Kumar Joag‐Dev · Journal of the American Statistical Association · 1989 · 530 citations

, , +10

On a stochastic difference equation and a representation of non–negative infinitely divisible random variables

Wim Vervaat · Advances in Applied Probability · 1979 · 482 citations

, , +13

Spectral representations of infinitely divisible processes

Balram S. Rajput, J. Rosiński · Probability Theory and Related Fields · 1989 · 438 citations · Full text

, , +12

The general coalescent with asynchronous mergers of ancestral lines

Serik Sagitov · Journal of Applied Probability · 1999 · 397 citations

, , +14

Probability Inequalities for Sums of Independent Random Variables

D. Kh. Fuk, S. V. Nagaev · Theory of Probability and Its Applications · 1971 · 353 citations

, , +13

1–5 of 285

Authors

327

  1. MM
    Makoto Maejima

    Keio University, Japan

    9 publications · 255 citations

    9

    h-index

  2. JR
    J. Rosiński

    University of Tennessee at Knoxville, United States

    8 publications · 706 citations

    8

    h-index

  3. KS
    Ken‐iti Sato

    Keio University, Japan

    8 publications · 304 citations

    8

    h-index

  4. OE
    Ole E. Barndorff–Nielsen

    Aarhus University, Denmark

    7 publications · 264 citations

    7

    h-index

  5. VP
    Vı́ctor Pérez-Abreu

    Mathematics Research Center, Mexico

    7 publications · 172 citations

    7

    h-index

1–5 of 327

Institutions

205

  1. Keio University

    Tokyo, Japan

    9 h-index

    15 publications

    368 citations

  2. The University of Western Australia

    Perth, Australia

    5 h-index

    5 publications

    287 citations

  3. Ecole des Hautes Etudes Commerciales du Nord

    Roubaix, France

    5 h-index

    5 publications

    127 citations

  4. Mathematics Research Center

    Guanajuato City, Mexico

    5 h-index

    5 publications

    140 citations

  5. University of Tennessee at Knoxville

    Knoxville, United States

    5 h-index

    6 publications

    989 citations

  6. Stanford University

    Stanford, United States

    4 h-index

    4 publications

    210 citations

  7. Aarhus University

    Aarhus, Denmark

    4 h-index

    6 publications

    160 citations

  8. Eindhoven University of Technology

    Eindhoven, The Netherlands

    4 h-index

    5 publications

    97 citations

1–8 of 205

Venues

  1. Theory of Probability and Its Applications

    27 publications · 1.3K citations

    17

    h-index

  2. Advances in Applied Probability

    AAP · 14 publications · 974 citations

    14

    h-index

  3. The Annals of Probability

    15 publications · 664 citations

    14

    h-index

  4. Journal of Applied Probability

    JAP · 18 publications · 1.1K citations

    13

    h-index

  5. The Annals of Mathematical Statistics

    15 publications · 521 citations

    13

    h-index

1–5