On tail behaviour of stationary second-order Galton–Watson processes with immigration

M Barczy, Z Bősze, G Pap - Modern Stochastics: Theory and Applications, 2020 - vmsta.org
Sufficient conditions are presented on the offspring and immigration distributions of a
second-order Galton–Watson process ${({X_ {n}}) _ {n\geqslant-1}} $ with immigration …

Bienayme Galton Watson Branching Process

S Madhira, S Deshmukh - Introduction to Stochastic Processes Using R, 2023 - Springer
Branching processes are Markov chains with countably infinite state space. While there are
many variations of branching processes, in this chapter, only Bienayme-Galton-Watson …

Maximum likelihood estimation and the local asymptotic mixed normality in a second‐order branching process with continuous state space

M Ramtirthkar, M Kale - Stat, 2022 - Wiley Online Library
A second‐order branching process with continuous state space (SOBPCS) is considered.
Maximum likelihood (ML) estimation in SOBPCS is studied under the assumption that the …

Regularly varying nonstationary second-order Galton–Watson processes with immigration

Z Bősze, G Pap - Stochastic Models, 2019 - Taylor & Francis
Full article: Regularly varying nonstationary second-order Galton–Watson processes with
immigration Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Joint estimation of the offspring mean and offspring variance of a second order branching process

M Ramtirthkar, M Kale - Communications in Statistics-Theory and …, 2021 - Taylor & Francis
In this paper, under the assumption that the offspring distributions of lag one and lag two are
identical, we discuss the joint estimation of the offspring mean and the offspring variance of …