The structure distribution in a mixed Poisson process.
Teugels, Jozef L., Vynckier, Petra (1996)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Teugels, Jozef L., Vynckier, Petra (1996)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Arguin, Louis-Pierre (2007)
Electronic Communications in Probability [electronic only]
Similarity:
Maria Jankiewicz (1984)
Applicationes Mathematicae
Similarity:
Targhetta, M.Luisa (1983)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Bertoin, Jean, Pitman, Jim (2000)
Electronic Journal of Probability [electronic only]
Similarity:
C. Ryll-Nardzewski (1954)
Studia Mathematica
Similarity:
Z. Schenková (1982)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Julien Berestycki (2010)
ESAIM: Probability and Statistics
Similarity:
In this paper we define and study self-similar ranked fragmentations. We first show that any ranked fragmentation is the image of some partition-valued fragmentation, and that there is in fact a one-to-one correspondence between the laws of these two types of fragmentations. We then give an explicit construction of homogeneous ranked fragmentations in terms of Poisson point processes. Finally we use this construction and classical results on records of Poisson point processes to study...