Branching processes with immigration in atypical random environment
Sign Up to like & getrecommendations! Published in 2021 at "Extremes"
DOI: 10.1007/s10687-021-00427-1
Abstract: Motivated by a seminal paper of Kesten et al. (Ann. Probab., 3(1), 1–31, 1975) we consider a branching process with a conditional geometric offspring distribution with i.i.d. random environmental parameters An, n ≥ 1 and with… read more here.
Keywords: processes immigration; branching processes; random; log ... See more keywords
Lower deviations for supercritical branching processes with immigration
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-021-0922-9
Abstract: For a supercritical branching processes with immigration { Z n }, it is known that under suitable conditions on the offspring and immigration distributions, Z n / m n converges almost surely to a finite… read more here.
Keywords: lower deviations; immigration; branching processes; supercritical branching ... See more keywords