ESTIMATION OF CONVERGENCE RATE IN LIMIT THEOREMS ON TRANSIENT PHENOMENA FOR BRANCHING RANDOM PROCESSES STARTING WITH A RANDOM NUMBER OF PARTICLES

Abstract

The present work investigates estimates of the rate of convergence in transitional phenomena, i.e., in limit theorems for branching stochastic processes as A → 1, n → ∞. The rate of convergence of the remainder term in the limit theorems concerning transitional phenomena for branching processes starting with a random number of particles is obtained.