A note on random orthogonal polynomials on a compact interval

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dc.creatorBirke, M.
dc.creatorDette, H.
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:08Z
dc.date.available2026-07-07T10:06:08Z
dc.descriptionWe consider a uniform distribution on the set $\mathcal{M}_k$ of moments of order $k \in \mathbb{N}$ corresponding to probability measures on the interval $[0,1]$. To each (random) vector of moments in $\mathcal{M}_{2n-1}$ we consider the corresponding uniquely determined monic (random) orthogonal polynomial of degree $n$ and study the asymptotic properties of its roots if $n \to \infty$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0809.4936
dc.identifierhttp://arxiv.org/abs/0809.4936
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170225
dc.subjectProbability
dc.subject60F15, 33C45, 44A60
dc.titleA note on random orthogonal polynomials on a compact interval
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