A Differential Analog of the Main Lemma of the Theory of Markov Branching Processes and Its Applications

• Date: 2005
• Main Authors: Imomov, A. A., Имомов, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3593
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain a differential analog of the main lemma in the theory of Markov branding processes $\mu(t),\quad t \geq 0$, of continuous time. We show that the results obtained can be applied in the proofs of limit theorems in the theory of branching processes by the well-known Stein - Tikhomirov method...