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An Extreme-Value Analysis of the LIL for Brownian Motion


 
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1. Title Title of document An Extreme-Value Analysis of the LIL for Brownian Motion
 
2. Creator Author's name, affiliation, country Davar Khoshnevisan; University of Utah, USa
 
2. Creator Author's name, affiliation, country David A. Levin; University of Oregon, USA
 
2. Creator Author's name, affiliation, country Zhan Shi; Université Paris VI, France
 
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4. Description Abstract We use excursion theory and the ergodic theorem to present an extreme-value analysis of the classical law of the iterated logarithm (LIL) for Brownian motion. A simplified version of our method also proves, in a paragraph, the classical theorem of Darling and Erdős (1956).
 
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7. Date (YYYY-MM-DD) 2005-09-30
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1154
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1154
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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