Subcritical branching diffusions
H. Hering (1977)
Compositio Mathematica
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Displaying similar documents to “A note on the L1-convergence of a superadditive bisexual Galton-Watson process.”
Subcritical branching diffusions
Lower deviation probabilities for supercritical Galton–Watson processes
Klaus Fleischmann, Vitali Wachtel (2007)
Annales de l'I.H.P. Probabilités et statistiques
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A strong invariance theorem for the tail empirical process
David M. Mason (1988)
Annales de l'I.H.P. Probabilités et statistiques
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On the survival probability of a branching process in a random environment
Quansheng Liu (1996)
Annales de l'I.H.P. Probabilités et statistiques
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A limit theorem for joint distribution of order-statistics from stationary Gaussian sequences
Deo, Chandrakant M. (1976)
Portugaliae mathematica
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Limit Theorems for Regenerative Excursion Processes
Mitov, Kosto (1999)
Serdica Mathematical Journal
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This work is supported by Bulgarian NFSI, grant No. MM–704/97 The regenerative excursion process Z(t), t = 0, 1, 2, . . . is constructed by two independent sequences X = {Xi , i ≥ 1} and Z = {Ti , (Zi (t), 0 ≤ t < Ti ), i ≥ 1}. For the embedded alternating renewal process, with interarrival times Xi – the time for the installation and Ti – the time for the work, are proved some limit theorems for the spent worktime and the residual worktime, when at least one of the...
Strong law of large numbers for fragmentation processes
S. C. Harris, R. Knobloch, A. E. Kyprianou (2010)
Annales de l'I.H.P. Probabilités et statistiques
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In the spirit of a classical result for Crump–Mode–Jagers processes, we prove a strong law of large numbers for fragmentation processes. Specifically, for self-similar fragmentation processes, including homogenous processes, we prove the almost sure convergence of an empirical measure associated with the stopping line corresponding to first fragments of size strictly smaller than for 1≥>0.