Limit theorems for linear spectrum statistics of orthogonal polynomial ensembles and their applications in random matrix theory
In this paper, we consider the asymptotic behavior of X(n)fn≔∑ni=1fn(xi)Xfn(n)≔∑i=1nfn(xi), where xi,i=1,…,n form orthogonal polynomial ensembles and fn is a real-valued, bounded measurable function. Under the condition that VarX(n)fn→∞VarXfn(n)→∞, the Berry-Esseen (BE) bound and Cramér type moderat...
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格式: | Article |
語言: | English |
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2017
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在線閱讀: | https://hdl.handle.net/10356/86704 http://hdl.handle.net/10220/44176 |
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