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arxiv: 1003.4771 · v2 · pith:UN3B3C4Bnew · submitted 2010-03-24 · 🧮 math.PR

Free Quadratic Harness

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keywords quadraticfreeharnessharnessesparameterspolynomialsprocessaskey--wilson
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Free quadratic harness is a Markov process from the class of quadratic harnesses, i.e. processes with linear regressions and quadratic conditional variances. The process has recently been constructed for a restricted range of parameters in the paper "Askey-Wilson polynomials, quadratic harnesses and martingales" by W. Bryc and J. Weso{\l}owski using Askey--Wilson polynomials. Here we provide a self-contained construction of the free quadratic harness for all values of parameters.

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