Inference on superimposed subcritical Galton-Watson processes with immigration
type: Item
instance of: scholarly article
title: Inference on superimposed subcritical Galton-Watson processes with immigration
zbMATH Open document ID: 0602.60077
author: K. Suresh Chandra
author: P. Koteeswaran
published in: Annals of the Institute of Statistical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: 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).
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 62M10
zbMATH DE Number: 3971928
zbMATH Keywords: superimposing two homogeneous subcritical branching processes with immigration
zbMATH Keywords: moving average error structure
zbMATH Keywords: time series techniques
MaRDI profile type: Publication
cites work: Branching processes with immigration
cites work: Functional equations and the Galton-Watson process
cites work: Q5617430
cites work: Q4077354
cites work: A time series approach to the study of the simple subcritical Galton–Watson process with immigration
cites work: Limit theorems on a linear explosive stochastic model for time series with moving average error
description: scientific article; zbMATH DE number 3971928