The Maximum of Brownian Motion with Parabolic Drift
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1. | Title | Title of document | The Maximum of Brownian Motion with Parabolic Drift |
2. | Creator | Author's name, affiliation, country | Svante Janson; Uppsala University; Sweden |
2. | Creator | Author's name, affiliation, country | Guy Louchard; Université Libre de Bruxelles; Belgium |
2. | Creator | Author's name, affiliation, country | Anders Martin-Löf; Stockholm University; Sweden |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Brownian motion, parabolic drift, Airy functions |
3. | Subject | Subject classification | 60J65 |
4. | Description | Abstract | We study the maximum of a Brownian motion with a parabolic drift; this is a random variable that often occurs as a limit of the maximum of discrete processes whose expectations have a maximum at an interior point. We give new series expansions and integral formulas for the distribution and the first two moments, together with numerical values to high precision. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | Institut Mittag-Leffler |
7. | Date | (YYYY-MM-DD) | 2010-11-17 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/830 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v15-830 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 15 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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