Hitting times to spheres of Brownian motions with and without drifts (Q2827385)

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scientific article; zbMATH DE number 6640958
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Hitting times to spheres of Brownian motions with and without drifts
scientific article; zbMATH DE number 6640958

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    Hitting times to spheres of Brownian motions with and without drifts (English)
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    19 October 2016
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    Brownian motion
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    hitting times
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    spheres
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    This paper is devoted to prove ``explicit formulae for the densities of the first hitting times to the sphere of Brownian motions with drifts'' and to study ``the asymptotic behavior of the tail probabilities.'' The authors ``present an explicit formula for the Laplace transform of the joint distribution of the first hitting time to a sphere and the hitting position, which is different from the known formulae in the literature and is of independent interest.''
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