Add to ORKGAbstract. The measure-valued branching process with immigration is defined as Yt = Xt + It, t ≥ 0, where Xt satisfies the branching property and It with I0 = 0 is independent of Xt. This formulation leads to the model of [12,14,15]. We prove a large number law for Yt. Equilibrium distributions and spatial transformations are also studied. Key words: branching process, immigration, large number law, equilibrium distri-bution, transformation 1
We consider a particle system in continuous time, discrete population, with spatial motion and nonlo...
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We establish weak and strong laws of large numbers for a class of branching symmetric Hunt processes...
AbstractStarting from the cumulant semigroup of a measure-valued branching process, we construct the...
Starting from the cumulant semigroup of a measure-valued branching process, we construct the transit...
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Functional limit theorems are established for continuous-state branching processes with immigration ...
We consider the small value probability of supercritical continuous state branching processes with i...
AbstractWe consider the class of continuous-state branching processes with immigration (CBI-processe...
We consider a multitype branching process with immigration in a random environ-ment introduced by Ke...
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In this paper, we consider nearly critical branching processes with immigration. We study the conver...
Guided by the relationship between the breadth-first walk of a rooted tree and its sequence of gener...
We consider a particle system in continuous time, discrete population, with spatial motion and nonlo...
We consider a spatial branching process with emigration in which children either remain at the same ...
We establish weak and strong laws of large numbers for a class of branching symmetric Hunt processes...
AbstractStarting from the cumulant semigroup of a measure-valued branching process, we construct the...
Starting from the cumulant semigroup of a measure-valued branching process, we construct the transit...
AbstractMotivated by the statistical applications, the asymptotic behavior of certain functionals of...
AbstractAlthough simple branching processes play an important role in classical applied probability ...
Functional limit theorems are established for continuous-state branching processes with immigration ...
We consider the small value probability of supercritical continuous state branching processes with i...
AbstractWe consider the class of continuous-state branching processes with immigration (CBI-processe...
We consider a multitype branching process with immigration in a random environ-ment introduced by Ke...
Abstract. Guided by the relationship between the breadth-first walk of a rooted tree and its sequenc...
AbstractA measure-valued process which carries genealogical information is defined for a supercritic...
In this paper, we consider nearly critical branching processes with immigration. We study the conver...
Guided by the relationship between the breadth-first walk of a rooted tree and its sequence of gener...
We consider a particle system in continuous time, discrete population, with spatial motion and nonlo...
We consider a spatial branching process with emigration in which children either remain at the same ...
We establish weak and strong laws of large numbers for a class of branching symmetric Hunt processes...