PUBLISHED PAPERS #04.07
| Azam Imomov, Misliddin Murtazaev, Erkin Tukhtaev. Asymptotic Properties of Survival Probability in Discrete-Time Subcritical Galton-Watson Systems |
|---|
| Abstract. In this paper, Kolmogorov's famous theorem is generalized to the subcritical case, known from the discrete-time subcritical Galton-Watson branching processes theory. In this theorem, the Kolmogorov constant for the subcritical state is defined, and its exact form is determined. The obtained results shed light on several important classical results in the subcritical random branching processes theory. In particular, using our results, local limit theorems are derived for subcritical random branching theories. |
| Keywords: Generating function, Kolmogorov constant, extinction probability, survival probability |
 Download PDF |
| DOI: https://doi.org/10.30546/MaCoSEP2025.1040 |