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A translation of "The characteristic function of a random phenomenon" by Bruno de Finetti

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arxiv 1512.01229 v1 pith:K42ADGKU submitted 2015-12-03 math.ST stat.TH

A translation of "The characteristic function of a random phenomenon" by Bruno de Finetti

classification math.ST stat.TH
keywords finettitranslationfootnotesoriginalbrunopublishedversionwere
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This article is a translation of Bruno de Finetti's paper "Funzione Caratteristica di un fenomeno aleatorio" which appeared in Atti del Congresso Internazionale dei Matematici, Bologna 3-10 Settembre 1928, Tomo VI, pp. 179-190, originally published by Nicola Zanichelli Editore S.p.A. The translation was made as close as possible to the original in form and style, except for apparent mistakes found in the original document, which were corrected and are mentioned as footnotes. Most of these were resolved by comparing against a longer version of this work by de Finetti, published shortly after this one under the same titlea. The interested reader is highly encouraged to consult this other version for a more detailed treatment of the topics covered here. Footnotes regarding the translation are labeled with letters to distinguish them from de Finetti's original footnotes.

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  1. Fixed points in de Finetti hierarchies

    quant-ph 2026-07 accept novelty 7.0

    Fixed-point constraints on de Finetti hierarchies yield O(√(log n)/n) double-sided rates, block-structured dimension dependence, and poly-time certifiable separable inner approximations for fixed local dimensions.