Stephen Montgomery-Smith and Victor de la Peña, Bounds on the tail probability of U-statistics and quadratic forms. Bull. Amer. Math. Soc. (N.S.) 31 (1994) 223-227. The authors announce a general tail estimate, called a decoupling inequality, for a symmetrized sum of non-linear \(k\)-correlations of \(n > k\) independent random variables. (tex, dvi, ps, pdf.)

 

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