On Estimation of Structural Parameters in Q-Process

In this paper, we examine the population growth system called Q-processes. This is defined by the Galton–Watson Branching system conditioned on non-extinction of its trajectory in the remote future. This work is devoted to a statistical investigation of the properties of Q-processes. The purpose of our paper is to estimate the main parameter – an average number of offspring of one particle and structural parameter. Thus, we find an unbiased estimators for these parameters. We also prove limit theorems for the above unbiased estimates.