Browsing Research articles (Dept of Statistics) by Subject "Almost sure bounds"
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On almost sure behavior of stable subordinators over rapidly increasing sequences
(Society for Industrial and Applied Mathematics, http://epubs.siam.org, 2006)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 ...