34 citations · 45 across the 7 of their papers we have counts for
10 papers · 1 filter
Reproducing kernel Hilbert spaces, polynomials and the classical moment problems
Holger Dette, Anatoly Zhigljavsky
We show that polynomials do not belong to the reproducing kernel Hilbert space of infinitely differentiable translation-invariant kernels whose spectral measures have moments corre…
Non-lattice covering and quanitization of high dimensional sets
Jack Noonan, Anatoly Zhigljavsky
The main problem considered in this paper is construction and theoretical study of efficient -point coverings of a -dimensional cube . Targeted values of are be…
Covering of high-dimensional cubes and quantization
Anatoly Zhigljavsky, Jack Noonan
As the main problem, we consider covering of a -dimensional cube by balls with reasonably large (10 or more) and reasonably small , like or . We do no…
Prediction in regression models with continuous observations
Holger Dette, Andrey Pepelyshev, Anatoly Zhigljavsky
We consider the problem of predicting values of a random process or field satisfying a linear model , where errors are correlate…
Approximations for the boundary crossing probabilities of moving sums of random variables
Jack Noonan, Anatoly Zhigljavsky
In this paper we study approximations for the boundary crossing probabilities of moving sums of i.i.d. normal r.v. We approximate a discrete time problem with a continuous time pro…
Approximations for the boundary crossing probabilities of moving sums of normal random variables
Jack Noonan, Anatoly Zhigljavsky
In this paper we study approximations for boundary crossing probabilities for the moving sums of i.i.d. normal random variables. We propose approximating a discrete time problem wi…