TITLE:
On the Increments of Stable Subordinators
AUTHORS:
Abdelkader Bahram, Bader Almohaimeed
KEYWORDS:
Increments, Stable Subordinators, Iterated Logarithm Laws
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.5,
May
23,
2017
ABSTRACT: Let be a stable subordinator defined on a probability space and let at for t>0be a non-negative valued function. In this paper, it is shown that under varying conditions on at, there exists a function such that
where , , and .