Multivariate Statistical Analysis in the Real and Complex Domains / / by Arak M. Mathai, Serge B. Provost, Hans J. Haubold.
This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book featur...
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Place / Publishing House: | Cham : : Springer International Publishing :, Imprint: Springer,, 2022. |
Year of Publication: | 2022 |
Edition: | 1st ed. 2022. |
Language: | English |
Physical Description: | 1 online resource (XXVII, 921 p. 3 illus.) |
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(CKB)4920000002044239 (DE-He213)978-3-030-95864-0 (MiAaPQ)EBC7105584 (Au-PeEL)EBL7105584 (OCoLC)1347381548 (oapen)https://directory.doabooks.org/handle/20.500.12854/93966 (PPN)265860652 (EXLCZ)994920000002044239 |
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Mathai, Arak M. author. aut http://id.loc.gov/vocabulary/relators/aut Multivariate Statistical Analysis in the Real and Complex Domains / by Arak M. Mathai, Serge B. Provost, Hans J. Haubold. 1st ed. 2022. Cham Springer Nature 2022 Cham : Springer International Publishing : Imprint: Springer, 2022. 1 online resource (XXVII, 921 p. 3 illus.) text txt rdacontent computer c rdamedia online resource cr rdacarrier This book explores topics in multivariate statistical analysis, relevant in the real and complex domains. It utilizes simplified and unified notations to render the complex subject matter both accessible and enjoyable, drawing from clear exposition and numerous illustrative examples. The book features an in-depth treatment of theory with a fair balance of applied coverage, and a classroom lecture style so that the learning process feels organic. It also contains original results, with the goal of driving research conversations forward. This will be particularly useful for researchers working in machine learning, biomedical signal processing, and other fields that increasingly rely on complex random variables to model complex-valued data. It can also be used in advanced courses on multivariate analysis. Numerous exercises are included throughout. 1. Mathematical Preliminaries -- 2. The Univariate Gaussian and Related Distribution -- 3. Multivariate Gaussian and Related Distributions -- 4. The Matrix-variate Gaussian Distribution -- 5. Matrix-variate Gamma and Beta Distributions -- 6. Hypothesis Testing and Null Distributions -- 7. Rectangular Matrix-variate Distributions -- 8. Distributions of Eigenvalues and Eigenvectors -- 9. Principal Component Analysis -- 10. Canonical Correlation Analysis -- 11. Factor Analysis -- 12. Classification Problems -- 13. Multivariate Analysis of Variance (MANOVA) -- 14. Profile Analysis and Growth Curves -- 15. Cluster Analysis and Correspondence Analysis. Open Access English Mathematical statistics. Statistics. Multivariate analysis. System theory. Mathematical Statistics. Statistical Theory and Methods. Multivariate Analysis. Complex Systems. Anàlisi multivariable thub Llibres electrònics thub multivariate statistical analysis mathematical statistics complex domain matrix-variate Gaussian distributions Wishart distribution type-1 distributions type-2 distributions factor analysis classifications cluster profile analyses 3-030-95863-9 Provost, Serge B. author. aut http://id.loc.gov/vocabulary/relators/aut Haubold, Hans J. author. aut http://id.loc.gov/vocabulary/relators/aut |
language |
English |
format |
eBook |
author |
Mathai, Arak M. Mathai, Arak M. Provost, Serge B. Haubold, Hans J. |
spellingShingle |
Mathai, Arak M. Mathai, Arak M. Provost, Serge B. Haubold, Hans J. Multivariate Statistical Analysis in the Real and Complex Domains / 1. Mathematical Preliminaries -- 2. The Univariate Gaussian and Related Distribution -- 3. Multivariate Gaussian and Related Distributions -- 4. The Matrix-variate Gaussian Distribution -- 5. Matrix-variate Gamma and Beta Distributions -- 6. Hypothesis Testing and Null Distributions -- 7. Rectangular Matrix-variate Distributions -- 8. Distributions of Eigenvalues and Eigenvectors -- 9. Principal Component Analysis -- 10. Canonical Correlation Analysis -- 11. Factor Analysis -- 12. Classification Problems -- 13. Multivariate Analysis of Variance (MANOVA) -- 14. Profile Analysis and Growth Curves -- 15. Cluster Analysis and Correspondence Analysis. |
author_facet |
Mathai, Arak M. Mathai, Arak M. Provost, Serge B. Haubold, Hans J. Provost, Serge B. Provost, Serge B. Haubold, Hans J. Haubold, Hans J. |
author_variant |
a m m am amm a m m am amm s b p sb sbp h j h hj hjh |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Provost, Serge B. Provost, Serge B. Haubold, Hans J. Haubold, Hans J. |
author2_variant |
s b p sb sbp h j h hj hjh |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Mathai, Arak M. |
title |
Multivariate Statistical Analysis in the Real and Complex Domains / |
title_full |
Multivariate Statistical Analysis in the Real and Complex Domains / by Arak M. Mathai, Serge B. Provost, Hans J. Haubold. |
title_fullStr |
Multivariate Statistical Analysis in the Real and Complex Domains / by Arak M. Mathai, Serge B. Provost, Hans J. Haubold. |
title_full_unstemmed |
Multivariate Statistical Analysis in the Real and Complex Domains / by Arak M. Mathai, Serge B. Provost, Hans J. Haubold. |
title_auth |
Multivariate Statistical Analysis in the Real and Complex Domains / |
title_new |
Multivariate Statistical Analysis in the Real and Complex Domains / |
title_sort |
multivariate statistical analysis in the real and complex domains / |
publisher |
Springer Nature Springer International Publishing : Imprint: Springer, |
publishDate |
2022 |
physical |
1 online resource (XXVII, 921 p. 3 illus.) |
edition |
1st ed. 2022. |
contents |
1. Mathematical Preliminaries -- 2. The Univariate Gaussian and Related Distribution -- 3. Multivariate Gaussian and Related Distributions -- 4. The Matrix-variate Gaussian Distribution -- 5. Matrix-variate Gamma and Beta Distributions -- 6. Hypothesis Testing and Null Distributions -- 7. Rectangular Matrix-variate Distributions -- 8. Distributions of Eigenvalues and Eigenvectors -- 9. Principal Component Analysis -- 10. Canonical Correlation Analysis -- 11. Factor Analysis -- 12. Classification Problems -- 13. Multivariate Analysis of Variance (MANOVA) -- 14. Profile Analysis and Growth Curves -- 15. Cluster Analysis and Correspondence Analysis. |
isbn |
3-030-95864-7 3-030-95863-9 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA276-280 |
callnumber-sort |
QA 3276 3280 |
genre |
Llibres electrònics thub |
genre_facet |
Llibres electrònics |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
519 - Probabilities & applied mathematics |
dewey-full |
519.5 519.535 |
dewey-sort |
3519.5 |
dewey-raw |
519.5 519.535 |
dewey-search |
519.5 519.535 |
oclc_num |
1347381548 |
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Multivariate Statistical Analysis in the Real and Complex Domains / |
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