Functional law of the iterated logarithm for fields and its applications

  • B. V. Bondarev
  • G. G. Zhirnyi

Abstract

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.
Published
25.07.1997
How to Cite
BondarevB. V., and ZhirnyiG. G. “Functional Law of the Iterated Logarithm for Fields and Its Applications”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 7, July 1997, pp. 883–894, https://umj.imath.kiev.ua/index.php/umj/article/view/5078.
Section
Research articles