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Tail behaviour of multiple random integrals and $U$-statistics
multiple Wiener--Itô integrals (degenerate) $U$-statistics large-deviation type estimates diagram formula
2009/5/18
This paper contains sharp estimates about the distribution of multiple random integrals of functions of several variables with respect to a normalized empirical measure, about the distribution of $U$-...
Problem 1.5.7 from Pitman's Saint-Flour lecture notes: Does there exist for each n a fragmentation process (Πn,k, 1 ≤ k ≤ n) such that Πn,k is distributed like the partition generated by cycles of a u...