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Constructions of a Brownian path with a given minimum

Bertoin, Jean; Pitman, Jim; de Chavez, Juan Ruiz (1999). Constructions of a Brownian path with a given minimum. Electronic Communications in Probability, 4:31-37.

Abstract

We construct a Brownian path conditioned on its minimum value over a fixed time interval by a simple transformation of a Brownian bridge.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Language:English
Date:9 July 1999
Deposited On:25 Jul 2013 06:48
Last Modified:09 Jan 2025 02:42
Publisher:Institute of Mathematical Statistics
ISSN:1083-589X
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1214/ECP.v4-1003
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1703609
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1021.60060
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