TY - JOUR AU - Vadim Demichev AU - Judith Sarah Olszewski PY - 2015/05/12 Y2 - 2024/03/29 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 -