Conditional least squares estimation is often employed to infer an integer-valued AR (1)
model and its convergence rate and asymptotic variance differ for the stable and nearly …

A two-type two-sex branching process is considered to model the evolution of the number of
carriers of an allele and its mutations of a Y-linked gene. The limiting growth rates of the …

This paper introduces a Nearly Unstable INteger‐valued AutoRegressive Conditional
Heteroscedastic (NU‐INARCH) process for dealing with count time series data. It is proved …

We consider an observed subcritical Galton Watson process $\{Y_n,\n\in\mathbb {Z}\} $ with
correlated stationary immigration process $\{\epsilon_n,\n\in\mathbb {Z}\} $. Two situations …

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 …

Statistical inference for critical continuous state and continuous time branching processes with
immigration | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find …

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 …

Statistical inference for 2-type doubly symmetric critical irreducible continuous state and
continuous time branching processes with immigration - ScienceDirect Skip to main contentSkip …

This paper considers the non negative integer-valued autoregressive process with order
one (INAR (1)), where the autoregression parameter is close to unity. Using the methods …

A two-type two-sex branching process is considered to model the evolution of the number of
carriers of an allele and its mutations of a Y-linked gene. The limiting growth rates of the …