Orthogonality and probability: beyond nearest neighbor transitions

Details Orthogonality and probability: beyond nearest neighbor transitions Orthogonality and probability: beyond nearest neighbor transitions

2008-12-09

arxiv.org/abs/0812.1779v1

Mathematics

Probability

12 pages

Scientific paper

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.

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