Stationary random fields with linear regressions
classification
🧮 math.PR
math-phmath.MPmath.OA
keywords
stationaryfieldslinearregressionsanalyzecertainclassicclosely
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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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