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    On almost sure behavior of stable subordinators over rapidly increasing sequences

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    Divanji_TPA_2006.pdf (117.2Kb)
    Date
    2006
    Author
    Vasudeva, R.
    Divanji, G.
    Publisher
    Society for Industrial and Applied Mathematics, http://epubs.siam.org
    Link
    http://dx.doi.org/10.1137/S0040585X97982128
    Type
    Published Article
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    Abstract
    Let (X(t), t ≥ (0) with X(0) = 0 be a stable subordinator with index 0 < α < 1 and let (tk) be an increasing sequence such that tk+1/tk → ∞ as k → ∞. Let (at) be a positive nondecreasing function of t such that a(t)/t 1. Define Y (t) = X(t + a(t)) − X(t) and Z(t) = X(t) − X(t − a(t)), t > 0. We obtain law-of-the-iterated-logarithm results for (X(tk)), (Y (tk)) and Z(tk), properly normalized.
    URI
    http://hdl.handle.net/10311/1135
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    • Research articles (Dept of Statistics) [22]

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