Strong laws of large numbers are given for L-statistics (linear comÂ binations of order statistics) and for U -statistics (averages of kernels of ranÂ dom samples) for ergodic stationary processes,â€¦ (More)

A feedforward neural net with d input neurons and with a single hidden layer of n neurons is given byg(x(1), em leader,x(d))= summation operator j=1na(j)sigma,where a(j), theta(j), w(ji) in R. Inâ€¦ (More)

Statistical methods for functional data are of interest for many applications. In this paper, we prove a central limit theorem for random variables taking their values in a Hilbert space. The randomâ€¦ (More)

We construct and investigate robust nonparametric tests for the twosample location problem. A test based on a suitable scaling of the median of the set of differences between the two samples, whichâ€¦ (More)

We present a new technique for proving empirical process invariance principle for stationary processes (Xn)nâ‰¥0. The main novelty of our approach lies in the fact that we only require the centralâ€¦ (More)