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Can time-homogeneous diffusions produce any distribution?

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Ekström, Erik, Hobson, David (David G.), Janson, Svante and Tysk, Johan (2011) Can time-homogeneous diffusions produce any distribution? Probability Theory and Related Fields . ISSN 0178-8051

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Official URL: http://dx.doi.org/10.1007/s00440-011-0405-0

Abstract

Given a centred distribution, can one find a time-homogeneous martingale diffusion starting at zero which has the given law at time 1? We answer the question affirmatively if generalized diffusions are allowed.

Item Type: Submitted Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Diffusion processes, Distribution (Probability theory)
Journal or Publication Title: Probability Theory and Related Fields
Publisher: Springer
ISSN: 0178-8051
Date: December 2011
Identification Number: 10.1007/s00440-011-0405-0
Status: Peer Reviewed
Publication Status: Published
Description: Online first
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URI: http://wrap.warwick.ac.uk/id/eprint/41081

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