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- Publisher Website: 10.1142/S2010326321500416
- Scopus: eid_2-s2.0-85105554424
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Article: On a generalization of the CLT for linear eigenvalue statistics of Wigner matrices with inhomogeneous fourth moments
| Title | On a generalization of the CLT for linear eigenvalue statistics of Wigner matrices with inhomogeneous fourth moments |
|---|---|
| Authors | |
| Keywords | Random matrices eigenvalue statistics central limit theorem stochastic block model |
| Issue Date | 2021 |
| Publisher | World Scientific Publishing Co. Pte. Ltd. The Journal's web site is located at http://www.worldscinet.com/rmta |
| Citation | Random Matrices: Theory and Applications, 2021, v. 10 n. 4, article no. 2150041 How to Cite? |
| Abstract | For linear spectral statistics of Wigner matrix, we establish a CLT when the entries are independent, standardised with however inhomogeneous fourth moments. Formulas for the expectation and the variance of the Gaussian limiting distribution are given. An application to the normalized stochastic block model is further proposed. |
| Persistent Identifier | http://hdl.handle.net/10722/300704 |
| ISSN | 2023 Impact Factor: 0.9 2023 SCImago Journal Rankings: 0.593 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | WANG, Z | - |
| dc.contributor.author | Yao, JJ | - |
| dc.date.accessioned | 2021-06-18T14:55:51Z | - |
| dc.date.available | 2021-06-18T14:55:51Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | Random Matrices: Theory and Applications, 2021, v. 10 n. 4, article no. 2150041 | - |
| dc.identifier.issn | 2010-3263 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/300704 | - |
| dc.description.abstract | For linear spectral statistics of Wigner matrix, we establish a CLT when the entries are independent, standardised with however inhomogeneous fourth moments. Formulas for the expectation and the variance of the Gaussian limiting distribution are given. An application to the normalized stochastic block model is further proposed. | - |
| dc.language | eng | - |
| dc.publisher | World Scientific Publishing Co. Pte. Ltd. The Journal's web site is located at http://www.worldscinet.com/rmta | - |
| dc.relation.ispartof | Random Matrices: Theory and Applications | - |
| dc.subject | Random matrices | - |
| dc.subject | eigenvalue statistics | - |
| dc.subject | central limit theorem | - |
| dc.subject | stochastic block model | - |
| dc.title | On a generalization of the CLT for linear eigenvalue statistics of Wigner matrices with inhomogeneous fourth moments | - |
| dc.type | Article | - |
| dc.identifier.email | Yao, JJ: jeffyao@hku.hk | - |
| dc.identifier.authority | Yao, JJ=rp01473 | - |
| dc.description.nature | link_to_OA_fulltext | - |
| dc.identifier.doi | 10.1142/S2010326321500416 | - |
| dc.identifier.scopus | eid_2-s2.0-85105554424 | - |
| dc.identifier.hkuros | 322812 | - |
| dc.identifier.volume | 10 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | article no. 2150041 | - |
| dc.identifier.epage | article no. 2150041 | - |
| dc.identifier.isi | WOS:000753911100008 | - |
| dc.publisher.place | Singapore | - |