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100301s2010 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9781441906618 |
| -- |
978-1-4419-0661-8 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
|---|
| Classification number |
QA276-280 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
|---|
| Classification number |
519.5 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
|---|
| Personal name |
Bai, Zhidong. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
|---|
| Title |
Spectral Analysis of Large Dimensional Random Matrices |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by Zhidong Bai, Jack W. Silverstein. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2010. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
XVI, 552p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Springer Series in Statistics, |
| International Standard Serial Number |
0172-7397 |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
Wigner Matrices and Semicircular Law -- Sample Covariance Matrices and the Marcenko-Pastur Law -- Product of Two Random Matrices -- Limits of Extreme Eigenvalues -- Spectrum Separation -- Semicircular Law for Hadamard Products -- Convergence Rates of ESD -- CLT for Linear Spectral Statistics -- Eigenvectors of Sample Covariance Matrices -- Circular Law -- Some Applications of RMT. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as the semicircular law of Wigner matrices, the Marcenko-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions, central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematical tools, among them being: truncation techniques, matrix identities, moment convergence theorems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginning researchers, having a basic knowledge of matrix theory and an understanding of probability theory at the graduate level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailed handbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one on the authors' results on the limiting behavior of eigenvectors of sample covariance matrices, another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of other areas which are typically considered part of the general field of random matrix theory. Zhidong Bai is a professor of the School of Mathematics and Statistics at Northeast Normal University and Department of Statistics and Applied Probability at National University of Singapore. He is a Fellow of the Third World Academy of Sciences and a Fellow of the Institute of Mathematical Statistics. Jack W. Silverstein is a professor in the Department of Mathematics at North Carolina State University. He is a Fellow of the Institute of Mathematical Statistics. |
| 596 ## - |
|---|
| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Statistics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematical statistics. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Statistics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
| 700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL |
|---|
| Personal name |
Silverstein, Jack W. |
| Relator term |
author. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9781441906601 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Springer Series in Statistics, |
| International Standard Serial Number |
0172-7397 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-0661-8">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-0661-8</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
|---|
| Koha item type |
Libro Electrónico |
