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Almost Sure Limit Inferior for Increments of Stable Subordinators

Abstract PP. 1-8
DOI: 10.4236/oalib.1100812    1,218 Downloads   1,457 Views  


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.

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The authors declare no conflicts of interest.

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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.


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