%0 Journal Article
%T Almost Sure Limit Inferior for Increments of Stable Subordinators
%A Kokkada Vidyalaxmi
%A Korakote Nagaraj Ravi Prakash
%A Gooty Divanji
%J Open Access Library Journal
%V 1
%N 6
%P 1-8
%@ 2333-9721
%D 2014
%I Open Access Library
%R 10.4236/oalib.1100812
%X Let<img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20140916153801_811.png" alt="" /><span lang="EN-IN">be a sequence
of completely asymmetric stable process or stable subordinators defined on a
common probability space<img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20140916153812_467.png" alt="" /></span><span lang="EN-IN">. In this paper, for proper selection of norming
constants, we study almost sure limit inferior for increments of stable
subordinators of geometrically increasing subsequences. Also we obtain similar
results to delayed sums</span><span lang="EN-IN"> and study the existence of moments for
boundary crossing random variables.</span>
%K Increments
%K Stable Subordinators
%K Law of Iterated Logarithm
%K Delayed Sums and Subsequences
%U http://www.oalib.com/paper/3101573