TY - JOUR
AU - Yuriy Kozachenko
AU - Anna Slyvka-Tylyshchak
PY - 2014/06/01
Y2 - 2024/08/10
TI - On the increase rate of random fields from space $Sub_{\varphi}(\Omega)$ on unbounded domains
JF - Statistics, Optimization & Information Computing
JA - Stat., optim. inf. comput.
VL - 2
IS - 2
SE - Research Articles
DO - 10.19139/soic.v2i2.45
UR - http://www.iapress.org/index.php/soic/article/view/20140601
AB - This paper mainly focuses on the estimates for distribution of supremum for the normalized φ-sub-Gaussian random fields defined on the unbounded domain. In particular, we obtain the estimates for distribution of supremum for the normalized solution of the hyperbolic equation of mathematical physics, which will be useful to construct modeless. By using this result, we can approximate the solutions of such equation with given accuracy and reliability in the uniform metric.
ER -