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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 9 open journal systems 


Orthogonality and probability: beyond nearest neighbor transitions

Yevgeniy V Kovchegov, Oregon State University


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.


Full text: PDF

Pages: 90-103

Published on: February 16, 2009


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Electronic Communications in Probability. ISSN: 1083-589X