Under natural assumptions, a Feller type diffusion approximation is derived for critical,
irreducible multi-type continuous state and continuous time branching processes with …

Branching processes form an important family of stochastic processes that have been
successfully applied in many fields. In this paper, we focus our attention on controlled multi …

In this somewhat didactic note we give a detailed alternative proof of the known result of Wei
and Winnicki (1989) which states that, under second-order moment assumptions on the …

In this paper, the asymptotic behavior of the conditional least squares (CLS) estimators of
the offspring means (α,β) and of the criticality parameter ϱ:=\alpha+β for a 2-type critical …

We prove local convergence results for rerooted conditioned multi-type Galton–Watson
trees. The limit objects are multitype variants of the random sin-tree constructed by Aldous …

In this paper the asymptotic behavior of a critical multi-type branching process with
immigration is described when the offspring mean matrix is irreducible, in other words, when …

We study the asymptotic behaviour of a critical decomposable 3-type Galton-Watson
process with immigration when its offspring mean matrix is triangular with diagonal entries 1 …

In this paper the asymptotic behaviour of a critical 2-type Galton–Watson process with
immigration is described when its offspring mean matrix is reducible, in other words, when …

Sufficient conditions are presented on the offspring and immigration distributions of a
second-order Galton–Watson process ${({X_ {n}}) _ {n\geqslant-1}} $ with immigration …

In this paper the asymptotic behavior of the conditional least squares estimators of the
offspring mean matrix for a 2-type critical positively regular Galton–Watson branching …