Matches in SemOpenAlex for { <https://semopenalex.org/work/W600541506> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W600541506 endingPage "207" @default.
- W600541506 startingPage "185" @default.
- W600541506 abstract "We study the renormalized real sample covariance matrix $H=X^TX/sqrt{MN}-sqrt{M/N}$ with $N/Mrightarrow 0$ as $N, Mrightarrowinfty$. We always assume $M=M(N)$. Here $X=[X_{jk}]_{Mtimes N}$ is an $Mtimes N$ real random matrix with independent identically distributed entries, and we assume ${{bf E}}|X_{11}|^{5+delta}<infty$ with some small positive $delta$. The Stieltjes transform $m_N(z)=N^{-1}{rm Tr}(H-z)^{-1}$ and the linear eigenvalue statistics of $H$ are considered. We mainly focus on the asymptotic expansion of ${{bf E}}{m_N(z)}$ in this paper. Then for some fine test function, a central limit theorem for the linear eigenvalue statistics of $H$ is established. We show that the variance of the limiting normal distribution coincides with the case of a real Wigner matrix with Gaussian entries." @default.
- W600541506 created "2016-06-24" @default.
- W600541506 creator A5055165929 @default.
- W600541506 date "2015-01-01" @default.
- W600541506 modified "2023-10-01" @default.
- W600541506 title "On Asymptotic Expansion and Central Limit Theorem of Linear Eigenvalue Statistics for Sample Covariance Matrices when ${N/Mrightarrow0}$" @default.
- W600541506 cites W1487955057 @default.
- W600541506 cites W1965748679 @default.
- W600541506 cites W1968451201 @default.
- W600541506 cites W1973335304 @default.
- W600541506 cites W1976456273 @default.
- W600541506 cites W1994231597 @default.
- W600541506 cites W2029067660 @default.
- W600541506 cites W2049074141 @default.
- W600541506 cites W2058688862 @default.
- W600541506 cites W2060581589 @default.
- W600541506 cites W2076641463 @default.
- W600541506 cites W2078757002 @default.
- W600541506 cites W4243997607 @default.
- W600541506 doi "https://doi.org/10.1137/s0040585x97t987089" @default.
- W600541506 hasPublicationYear "2015" @default.
- W600541506 type Work @default.
- W600541506 sameAs 600541506 @default.
- W600541506 citedByCount "1" @default.
- W600541506 countsByYear W6005415062023 @default.
- W600541506 crossrefType "journal-article" @default.
- W600541506 hasAuthorship W600541506A5055165929 @default.
- W600541506 hasConcept C105795698 @default.
- W600541506 hasConcept C106487976 @default.
- W600541506 hasConcept C114614502 @default.
- W600541506 hasConcept C121332964 @default.
- W600541506 hasConcept C122123141 @default.
- W600541506 hasConcept C134306372 @default.
- W600541506 hasConcept C141513077 @default.
- W600541506 hasConcept C151201525 @default.
- W600541506 hasConcept C158693339 @default.
- W600541506 hasConcept C159985019 @default.
- W600541506 hasConcept C166785042 @default.
- W600541506 hasConcept C182514268 @default.
- W600541506 hasConcept C185429906 @default.
- W600541506 hasConcept C192562407 @default.
- W600541506 hasConcept C33923547 @default.
- W600541506 hasConcept C62520636 @default.
- W600541506 hasConcept C64812099 @default.
- W600541506 hasConcept C65778772 @default.
- W600541506 hasConcept C95707001 @default.
- W600541506 hasConceptScore W600541506C105795698 @default.
- W600541506 hasConceptScore W600541506C106487976 @default.
- W600541506 hasConceptScore W600541506C114614502 @default.
- W600541506 hasConceptScore W600541506C121332964 @default.
- W600541506 hasConceptScore W600541506C122123141 @default.
- W600541506 hasConceptScore W600541506C134306372 @default.
- W600541506 hasConceptScore W600541506C141513077 @default.
- W600541506 hasConceptScore W600541506C151201525 @default.
- W600541506 hasConceptScore W600541506C158693339 @default.
- W600541506 hasConceptScore W600541506C159985019 @default.
- W600541506 hasConceptScore W600541506C166785042 @default.
- W600541506 hasConceptScore W600541506C182514268 @default.
- W600541506 hasConceptScore W600541506C185429906 @default.
- W600541506 hasConceptScore W600541506C192562407 @default.
- W600541506 hasConceptScore W600541506C33923547 @default.
- W600541506 hasConceptScore W600541506C62520636 @default.
- W600541506 hasConceptScore W600541506C64812099 @default.
- W600541506 hasConceptScore W600541506C65778772 @default.
- W600541506 hasConceptScore W600541506C95707001 @default.
- W600541506 hasIssue "2" @default.
- W600541506 hasLocation W6005415061 @default.
- W600541506 hasOpenAccess W600541506 @default.
- W600541506 hasPrimaryLocation W6005415061 @default.
- W600541506 hasRelatedWork W2074569571 @default.
- W600541506 hasRelatedWork W2105647435 @default.
- W600541506 hasRelatedWork W2159601979 @default.
- W600541506 hasRelatedWork W2299016414 @default.
- W600541506 hasRelatedWork W2382624178 @default.
- W600541506 hasRelatedWork W2781574811 @default.
- W600541506 hasRelatedWork W2781869884 @default.
- W600541506 hasRelatedWork W3176524828 @default.
- W600541506 hasRelatedWork W3179678672 @default.
- W600541506 hasRelatedWork W4385474287 @default.
- W600541506 hasVolume "59" @default.
- W600541506 isParatext "false" @default.
- W600541506 isRetracted "false" @default.
- W600541506 magId "600541506" @default.
- W600541506 workType "article" @default.