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Bridges of quadratic harnesses


 
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1. Title Title of document Bridges of quadratic harnesses
 
2. Creator Author's name, affiliation, country Włodek Bryc; University of Cincinnati; United States
 
2. Creator Author's name, affiliation, country Jacek Wesołowski; Warsaw University of Technology; Poland
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) bridges; harnesses; Lévy-Meixner processes; quadratic conditional variances
 
3. Subject Subject classification 60J25
 
4. Description Abstract Quadratic harnesses are typically non-homogeneous Markov processes with time-dependent state space. Motivated by a question raised in  Émery and Yor (2004) we give explicit formulas for bridges of such processes. Using an appropriately defined f transformation   we show that  all bridges of a given quadratic harness can be transformed into other standard quadratic harnesses. Conversely, each such bridge is anf-transformation  of a standard  quadratic harness. We describe quadratic harnesses that correspond to bridges of some Lévy processes. We  determine all quadratic harnesses that may arise from stitching together  a pair of q-Meixner processes.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSF
 
7. Date (YYYY-MM-DD) 2012-12-21
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF, Untitled ()
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/1866
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1866
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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