Functional law of the iterated logarithm for fields and its applications

• Date: 1997
• Main Authors: Bondarev, B. V., Zhirnyi, G. G., Бондарев, Б. В., Жирный, Г. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5078
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a Wiener field with an arbitrary finite number of parameters, we construct the law of the iterated logarithm in the functional form. We consider the problem for random fields of a certain type to reside within curvilinear boundaries without assuming that the Cairoli—Walsh condition is satisfied....