Inference on superimposed subcritical Galton-Watson processes with immigration
This paper considers the process Z obtained by superimposing two homogeneous subcritical branching processes with immigration. The constituent processes are not assumed to be identically distributed. It is noted that Z can be thought of in a way reminiscent of a second order autoregressive scheme with a moving average error structure, and time series techniques are then used for parameter estimation. The ideas and techniques owe much (as the authors' acknowledge) to the paper of \textit{K. N. Venkataraman}, Adv. Appl. Probab. 14, 1-20 (1982; Zbl 0486.62088).
superimposing two homogeneous subcritical branching processes with immigration
scientific article; zbMATH DE number 3971928