On the rate of convergence of a regular martingale related to a branching random walk

• Date: 2006
• Main Authors: Iksanov, O. M., Іксанов, О. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3457
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $\mathcal{M}_n,\quad n = 1, 2, ..., $ be a supercritical branching random walk in which a number of direct descendants of an individual may be infinite with positive probability. Assume that the standard martingale $W_n$ related to $\mathcal{M}_n$ is regular, and $W$ is a limit random variable....