un 2 00 5 Moment Inequalities for U - statistics Rados law Adamczak
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چکیده
We present moment inequalities for completely degenerate Banach space valued (generalized) U-statistics of arbitrary order. The estimates involve suprema of empirical processes, which in the real valued case can be replaced by simpler norms of the kernel matrix (i.e. norms of some multilinear operators associated with the kernel matrix). As a corollary we derive tail inequalities for U-statistics with bounded kernels and for some multiple stochastic integrals.
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