TY - JOUR
AU - Vadim Demichev
AU - Judith Sarah Olszewski
PY - 2015/05/12
Y2 - 2022/08/09
TI - A Central Limit Theorem for the Volumes of High Excursions of Stationary Associated Random Fields
JF - Statistics, Optimization & Information Computing
JA - Stat., optim. inf. comput.
VL - 3
IS - 2
SE - Research Articles
DO - 10.19139/soic.v3i2.137
UR - http://www.iapress.org/index.php/soic/article/view/20150602
AB - We prove that under certain conditions the excursion sets volumes of stationary positively associated random fields converge after rescaling to the normal distribution as the excursion level and the size of the observation window grow. In addition, we provide a number of examples.
ER -