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Large Deviations for Controlled Branching Processes: Random Slopes, Harmonic Moments, and Transfer Principles

González, Miguel et al.
arXiv (All) · Papers
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60g5060j80probabilitystatistics-theory
Let \(\{X_n:n\ge0\}\) be a controlled branching process with controls \(ϕ_n\), and let \(N_n=ϕ_n(X_n)\) be its progenitor count. We study large deviations of \(X_{n+1}/N_n\), \(N_n/X_n\), and \(X_{n+1}/X_n\), on their natural positive-denominator events, in supercritical and critical regimes. We tre
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