In this paper the asymptotic behavior of an unstable integer-valued autoregressive model of
order p (INAR (p)) is described. Under a natural assumption it is proved that the sequence of …

We investigate branching processes in varying environment, for which stands for the
offspring mean in generation n. Since subcritical regimes dominate, such processes die out …

It is frequent to encounter integer‐valued time series which are small in value and show a
trend having relatively large fluctuation. To handle such a matter, we present a new first …

The study of time series models for count data has become a topic of special interest during
the last years. However, while research on univariate time series for counts now flourishes …

We investigate Galton--Watson processes in varying environment, for which $\bar
f_n\uparrow 1$ and $\sum_ {n= 1}^\infty (1-\bar f_n)=\infty $, where $\bar f_n $ stands for the …

In this paper the integer-valued autoregressive model of order one, contaminated with
additive or innovational outliers is studied in some detail. Moreover, parameter estimation is …

We investigate the inhomogeneous Galton-Watson processes with immigration, where π n,
the offspring means in the n th generation, tends to 1. We show that if the second derivatives …

Multitype inhomogeneous Galton--Watson processes with immigration are investigated,
where the offspring mean matrix slowly converges to a critical mean matrix. Under general …

In this paper we give a survey on some results concerning critical and nearly critical Galton–
Watson branching processes with immigration. As a byproduct of a general limit theorem for …

Изучается многотипный неоднородный процесс Гальтона–Ватсона с иммиграцией, где
матрица средних числа потомков медленно сходится к критической матрице средних …