TITLE:
Almost Sure Limit Inferior for Increments of Stable Subordinators
AUTHORS:
Kokkada Vidyalaxmi, Korakote Nagaraj Ravi Prakash, Gooty Divanji
KEYWORDS:
Increments, Stable Subordinators, Law of Iterated Logarithm, Delayed Sums and Subsequences
JOURNAL NAME:
Open Access Library Journal,
Vol.1 No.6,
September
16,
2014
ABSTRACT: Let {X(t), 0≤tP). 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 and study the existence of moments for boundary crossing random variables.