Approximation complexity of additive random fields

Author:

Lifshits M.A.,Zani M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference14 articles.

1. On certain extremal problems in the theory of approximation of random processes;Buslaev;East J. Approx.,1999

2. X. Chen, W.V. Li, Small deviation estimates for some additive processes, in: Proceedings of the Conference on High Dimensional Probability. III. Progress in Probability, vol. 55, Birkhäuser, 2003, pp. 225–238.

3. E. Csáki, On small values of the square integral of a multiparameter Wiener process, in: Statistics and Probability. Proceedings of the III Pannonian Symposium on Mathematical Statistics, D. Reidel, Boston, 1982, pp. 19–26.

4. F.J. Hickernell, G.W. Wasilkowski, H. Woźniakowski, Tractability of linear multivariate problems in the average-case setting, to appear in: S. Heinrich, A. Keller, H. Niederreiter (eds.), Monte Carlo and Quasi-Monte Carlo Methods 2006, Springer, 2007, pp. 461–494.

5. Small ball probabilities for Gaussian random fields and tensor products of compact operators;Karol’;to appear in Trans. Amer. Math. Soc.,2008

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