Title

Estimation of the offspring mean in a supercritical branching process with non-stationary immigration

Source of Publication

Statistics and Probability Letters

Abstract

In this paper, we consider the conditional least squares estimator (CLSE) of the offspring mean of a branching process with non-stationary immigration based on the observation of population sizes. In the supercritical case, assuming that the immigration variables follow known distributions, conditions guaranteeing the strong consistency of the proposed estimator will be derived. The asymptotic normality of the estimator will also be proved. The proofs are based on direct probabilistic arguments, unlike the previous papers, where functional limit theorems for the process were used. © 2011 Elsevier B.V.

Document Type

Article

First Page

907

Last Page

914

Publication Date

8-1-2011

DOI

10.1016/j.spl.2011.03.038

Author First name, Last name, Institution

I. Rahimov, Zayed University

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