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Orthogonality and probability: beyond nearest neighbor transitions


 
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1. Title Title of document Orthogonality and probability: beyond nearest neighbor transitions
 
2. Creator Author's name, affiliation, country Yevgeniy V Kovchegov; Oregon State University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) reversible Markov chains, orthogonal polynomials, Karlin-McGregor representation
 
3. Subject Subject classification 60G05, 05E35
 
4. Description Abstract In this article, we will explore why Karlin-McGregor method of using orthogonal polynomials in the study of Markov processes was so successful for one dimensional nearest neighbor processes, but failed beyond nearest neighbor transitions. We will proceed by suggesting and testing possible fixtures.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-02-16
 
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/1447
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1447
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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