Extrapolation of Stationary Random Fields Via Level Sets
Probability
2021-10-15 v2
Abstract
In this paper, we use the concept of excursion sets for the extrapolation of stationary random fields. Doing so, we define excursion sets for the field and its linear predictor, and then minimize the expected volume of the symmetric difference of these sets under the condition that the univariate distributions of the predictor and of the field itself coincide. We illustrate the new approach on Gaussian random fields.
Keywords
Cite
@article{arxiv.2108.12481,
title = {Extrapolation of Stationary Random Fields Via Level Sets},
author = {Abhinav Das and Vitalii Makogin and Evgeny Spodarev},
journal= {arXiv preprint arXiv:2108.12481},
year = {2021}
}