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Random coefficients bifurcating autoregressive processes
Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle · 2012-05-16 · via math.ST updates on arXiv.org

This paper presents a model of asymmetric bifurcating autoregressive process with random coefficients. We couple this model with a Galton Watson tree to take into account possibly missing observations. We propose least-squares estimators for the various parameters of the model and prove their consistency with a convergence rate, and their asymptotic normality. We use both the bifurcating Markov chain and martingale approaches and derive new important general results in both these frameworks.

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