Page 1 U-Statistics in Banach Spaces Page 2 Page 3 U-STATISTICS IN BANACH SPACES Yu.
V. Borovskikh III VSPIII Utrecht, The Netherlands, 1996 Page 4 VSP BV PO Box 346 3700 AH …

We derive invariance principles for processes associated with symmetric statistics of
arbitrary order. Using a Poisson sample size, such processes can be viewed as functionals …

Let be independent and identically distributed real-valued random variables with mean zero,
unit variance, and finite moments of all remaining orders. We study the random polynomial …

The asymptotic behaviour of elementary symmetric polynomials S n (k) of order k, based on
n independent and identically distributed random variables X 1,..., X n, is investigated for the …

We present a new rotation invariant test for comparing distributions. Tests for comparing
distributions include the classical univariate goodness-of-fit tests, as well as multivariate …

Let Un be a [/-statistic of order m based on n iid real random variables. Suppose that m= m
(n)—l· OO as η—>· OO. In this work we discuss some sufficient conditions under which …

Consider the problem of matching two independent iid samples of size $ N $ from two
distributions $ P $ and $ Q $ in $\mathbb {R}^ d $. For an arbitrary continuous cost function …

On the Weak Limits of Elementary Symmetric Polynomials Page 1 The Annahs of Probability
1986, Vol. 14, No. 2, 677-695 ON THE WEAK LIMITS OF ELEMENTARY SYMMETRIC …

Zeros of a random analytic function approach perfect spacing under repeated differentiation
Page 1 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 369 …

Page 1 Random Permanents Page 2 Page 3 Random Permanents Yu. V. Borovskikh
Department of Applied Mathematics Transport University St. Petersburg, Russia and VS Korolyuk …