A note on random orthogonal polynomials on a compact interval
Autor: | Birke, M., Dette, H. |
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Rok vydání: | 2008 |
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Druh dokumentu: | Working Paper |
Popis: | We 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 $n \to \infty$. Comment: 14 pages |
Databáze: | arXiv |
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