Bibliographic Details
| Title: |
On the maximal displacement of some critical branching Lévy processes with stable offspring distribution. |
| Authors: |
Profeta, Christophe1 (AUTHOR) christophe.profeta@univ-evry.fr |
| Source: |
Stochastic Processes & Their Applications. Jun2026, Vol. 196, pN.PAG-N.PAG. 1p. |
| Subjects: |
Lévy processes, Branching processes, Distribution (Probability theory), Probability theory |
| Abstract: |
Let X be a critical branching Lévy process whose offspring distribution is in the domain of attraction of a stable random variable. We study the tail probability of the maximum location ever reached by a particle in two different situations: first when the underlying Lévy process L admits moments of order at least two and is not centered, and then when the distribution of L has a regularly varying tail. This work complements some earlier results in which either L was centered or the offspring distribution was assumed to have moments of order three. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
