Stationary random fields with linear regressions

Details Stationary random fields with linear regressions Stationary random fields with linear regressions

2000-08-05

arxiv.org/abs/math/0008043v1

Ann. Probab. 29 (2001), 504-519

Mathematics

Probability

13 pages

Scientific paper

We analyze certain stationary fields with linear regressions and quadratic
conditional variances. This classic probabilistic problem leads somewhat
unexpectedly to stationary Markov processes closely tied to non-commutative
probability through the q-Hermite polynomials.

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