Corners and records of the Poisson process in quadrant.
Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “A dynamical characterization of Poisson-Dirichlet distributions.”
Corners and records of the Poisson process in quadrant.
Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)
C. Ryll-Nardzewski (1954)
Studia Mathematica
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Two coalescents derived from the ranges of stable subordinators.
Bertoin, Jean, Pitman, Jim (2000)
Electronic Journal of Probability [electronic only]
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Statistical problems on point processes
Klaus Krickeberg (1980)
Banach Center Publications
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Poisson thinning by monotone factors.
Ball, Karen (2005)
Electronic Communications in Probability [electronic only]
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Moment inequalities connected with accompanying Poisson laws in Abelian groups.
Borisov, I.S. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ergodic properties of marked point processes in
R. T. Smythe (1975)
Annales de l'I.H.P. Probabilités et statistiques
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Quasi stationary distributions and Fleming-Viot processes in countable spaces.
Ferrari, Pablo A., Marić, Nevena (2007)
Electronic Journal of Probability [electronic only]
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Ranked fragmentations
Julien Berestycki (2002)
ESAIM: Probability and Statistics
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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...