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Kendall's identity for the first crossing time revisited


 
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1. Title Title of document Kendall's identity for the first crossing time revisited
 
2. Creator Author's name, affiliation, country Konstantin Borovkov; University of Melbourne
 
2. Creator Author's name, affiliation, country Zaeem Burq; University of Melbourne
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Skip-free Lévy process, first crossing time, change of measure.
 
3. Subject Subject classification 60G51
 
4. Description Abstract We give a new relatively compact proof of the famous identity for the distribution of the first hitting time of a linear boundary by a skip-free process with stationary independent increments. The proof uses martingale identities and change of measure.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-08-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1038
 
10. Identifier Digital Object Identifier 10.1214/ECP.v6-1038
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 6
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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