Deviation inequalities for a supercritical branching process in a random environment

2021/09/08 by Huiyi Xu, Xu, Huiyi
Mathematics · #60K37 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #primary 60J80 #secondary 60F10

paper · pdf · doi:10.48550/arxiv.2109.03489

openalex publication_date 2021/09/08 · openalex created_date 2021/09/13 · openalex updated_date 2026/07/28

Abstract

Let \ Z_n, n≥ 0 \ be a supercritical branching process in an independent and identically distributed random environment ξ= ( ξ_n )_{n≥ 0} . In this paper, we get some deviation inequalities for ln (Z_n+n₀ / Z_n₀ ). And some applications are given for constructing confidence intervals.

Citations

• On Branching Processes in Random Environments

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