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By Stéphane Boucheron, Gábor Lugosi, Pascal Massart.

Electronic Journal of Probability 14, paper 64, 1884–1899. DOI: doi.org/10.1214/EJP.v14-690 . Definitions 1–3 and Theorem 1, especially the additional increment hypothesis in the third conclusion, printed p. 1887. The primary PDF contains a typographical Pacal in its byline; the established Pascal spelling also appears in its correspondence address and publisher book byline.

Pascal Massart coauthored concentration bounds for self-bounding functions with Stéphane Boucheron and Gábor Lugosi. Their entropy method (probability) analysis derives Bernstein-type concentration inequalities from restrictions on how much one coordinate can change a function. The work also recovers Talagrand's convex distance inequality.^[ref]

Stéphane Boucheron contributed, with Gábor Lugosi and Pascal Massart, to the concentration theory of self-bounding functions. Their paper turns coordinatewise increment bounds into exponential tail bounds through the entropy method (probability). This supplies a reusable route from a function's local sensitivity to global concentration of measure.^[ref]