Now showing items 1-9 of 9

• #### Bounds on the tail probability of u-statistics and quadratic forms ﻿

(2011-01)
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.
• #### Comparison of Orlicz-Lorentz spaces ﻿

(2011-01)
Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastylo, Maligranda, and Kaminska. In this paper, we consider the problem of ...
• #### Contraction and decoupling inequalities for multilinear forms and u-statistics ﻿

(2011-01)
We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz ...
• #### Decoupling inequalities for the tail probabilities of multivariate u-statistics ﻿

(2011-01)
In this paper we present a decoupling inequality that shows that multivariate U-statistics can be studied as sums of (conditionally) independent random variables. This result has important implications in several areas of ...
• #### The Distribution of Non-Commutative Rademacher Series ﻿

(2011-02)
We give a formula for the tail of the distribution of the non-commutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm ...
• #### Evolutionary semigroups and Lyapunov theorems in Banach spaces ﻿

(2011-01)
We study evolutionary semigroups generated by a strongly continuous semi-cocycle over a locally compact metric space acting on Banach fibers. This setting simultaneously covers evolutionary semigroups arising from ...
• #### The Gaussian cotype of operators from C(K) ﻿

(2011-01)
We show that the canonical embedding C(K) to LΦ(μ) has Gaussian cotype p, where μ is a Radon probability measure on K, and Φ is an Orlicz function equivalent to tp(log t)p/2 for large t.

(2011-02)