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On total variation approximations for random assemblies

Abstract : We prove a total variation approximation for the distribution of component vector of a weakly logarithmic random assembly. The proof demonstrates an analytic approach based on a comparative analysis of the coefficients of two power series.
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Eugenijus Manstavičius. On total variation approximations for random assemblies. 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'12), 2012, Montreal, Canada. pp.97-108, ⟨10.46298/dmtcs.2987⟩. ⟨hal-01197240⟩

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