High Excursions of Bessel Process and Other Processes of Bessel Type


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А high excursion probability for the modulus of a Gaussian vector process with independent identically distributed components is evaluated. It is assumed that the components have means zero and variances reaching its absolute maximum at a single point of the considered time interval. An important example of such processes is the Bessel process.

作者简介

V. Piterbarg

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Scientific Research Institute for System Analysis,
Russian Academy of Sciences

编辑信件的主要联系方式.
Email: piter@mech.math.msu.su
俄罗斯联邦, Moscow, 119991; Moscow, 117218

I. Rodionov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

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Email: vecsell@gmail.com
俄罗斯联邦, Moscow, 117997; Dolgoprudnyi, Moscow oblast, 141701

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