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math.PR2011
Stratified Monte Carlo quadrature for continuous random fields
Konrad Abramowicz, Oleg Seleznjev
We consider the problem of numerical approximation of integrals of random fields over a unit hypercube. We use a stratified Monte Carlo quadrature and measure the approximation per…
math.PR2011★ 5 cited
Multivariate piecewise linear interpolation of a random field
Konrad Abramowicz, Oleg Seleznjev
We consider a multivariate piecewise linear interpolation of a continuous random field on a d-dimensional cube. The approximation performance is measured by the integrated mean squ…
math.PR2010
Spline approximation of a random process with singularity
Konrad Abramowicz, Oleg Seleznjev
Let a continuous random process defined on be -smooth, , in quadratic mean for all and have an isolated singularity point at . In ad…