Author(s)

Kokkada Vidyalaxmi, Korakote Nagaraj Ravi Prakash, Gooty Divanji^*

Department of Studies in Statistics, University of Mysore, Manasagangothri, Mysore, India.

Let {X(t), 0≤t<∞} be a sequence of completely asymmetric stable process or stable subordinators defined on a common probability space (Ω,ζ,P). 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.

Increments, Stable Subordinators, Law of Iterated Logarithm, Delayed Sums and Subsequences

Vidyalaxmi, K. , Prakash, K. and Divanji, G. (2014) Almost Sure Limit Inferior for Increments of Stable Subordinators. Open Access Library Journal, 1, 1-8. doi: 10.4236/oalib.1100812.