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Some limit results for probabilities estimates of Brownian motion with polynomial drift

Jiao Li ()
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Jiao Li: Fudan University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 3, 425-442

Abstract: Abstract Let (B t + f(t))t∈[0,+∞) be a Brownian motion with polynomial drift f(t), where f(t) is a polynomial. Some Limit Results for Lower tail and large deviation probabilities estimates, and Level crossing probabilities estimates of (B t + f(t))t∈[0,+∞) are given in this paper.

Keywords: Brownian; motion; with; polynomial; drift; Slepian’s; lemma; Lower; tail; and; large; deviation; Probabilities; Level; crossing; probabilities (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0026-9

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