1995, ISBN: 0387945229
[EAN: 9780387945224], Neubuch, [PU: Springer New York], LIKELIHOOD NORMALDISTRIBUTION BINOMIAL CORRELATION STATISTICS MATHEMATIK WAHRSCHEINLICHKEITSTHEORIE STOCHASTIK MATHEMATISCHE STATIS… More...
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ISBN: 9780387945224
*Bilinear Forms and Zonal Polynomials* - Softcover reprint of the original 1st ed. 1995 / Taschenbuch für 53.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein … More...
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1995, ISBN: 0387945229
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1995, ISBN: 9780387945224
Buch, Softcover, Softcover reprint of the original 1st ed. 1995, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1995
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1995, ISBN: 0387945229
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1995, ISBN: 0387945229
[EAN: 9780387945224], Neubuch, [PU: Springer New York], LIKELIHOOD NORMALDISTRIBUTION BINOMIAL CORRELATION STATISTICS MATHEMATIK WAHRSCHEINLICHKEITSTHEORIE STOCHASTIK MATHEMATISCHE STATIS… More...
ISBN: 9780387945224
*Bilinear Forms and Zonal Polynomials* - Softcover reprint of the original 1st ed. 1995 / Taschenbuch für 53.49 € / Aus dem Bereich: Bücher, Wissenschaft, Mathematik Medien > Bücher nein … More...
1995
ISBN: 0387945229
[EAN: 9780387945224], Gebraucht, [PU: Springer], Buy with confidence! Book is in acceptable condition with wear to the pages, binding, and some marks within, Books
1995, ISBN: 9780387945224
Buch, Softcover, Softcover reprint of the original 1st ed. 1995, [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1995
1995, ISBN: 0387945229
[EAN: 9780387945224], Neubuch, [PU: Springer], Book is in NEW condition., Books
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Details of the book - Bilinear Forms and Zonal Polynomials
EAN (ISBN-13): 9780387945224
ISBN (ISBN-10): 0387945229
Paperback
Publishing year: 1995
Publisher: Springer New York
392 Pages
Weight: 0,591 kg
Language: eng/Englisch
Book in our database since 2007-11-08T11:09:27+00:00 (London)
Detail page last modified on 2024-01-10T09:51:25+00:00 (London)
ISBN/EAN: 9780387945224
ISBN - alternate spelling:
0-387-94522-9, 978-0-387-94522-4
Alternate spelling and related search-keywords:
Book author: hayakawa, provost, provo, serge, arak mathai
Book title: polynomials, zona
Information from Publisher
Author: Arak M. Mathai; Serge B. Provost; Takesi Hayakawa
Title: Lecture Notes in Statistics; Bilinear Forms and Zonal Polynomials
Publisher: Springer; Springer US
376 Pages
Publishing year: 1995-05-19
New York; NY; US
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
Available
XII, 376 p.
BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Wahrscheinlichkeitsrechnung und Statistik; Verstehen; Likelihood; Normal distribution; binomial; correlation; statistics; Probability Theory; Stochastik; EA
1 Preliminaries.- 1.0 Introduction.- 1.1 Jacobians of Matrix Transformations.- 1.1a Some Frequently Used Jacobians in the Real Case.- 1.2 Singular and Nonsingular Normal Distributions.- 1.2a Normal Distribution in the Real Case.- 1.2b The Moment Generating Function for the Real Normal Distribution.- 1.3 Quadratic Forms in Normal Variables.- 1.3a Representations of a Quadratic Form.- 1.3b Representations of the m. g. f. of a Quadratic Expression.- 1.4 Matrix-variate Gamma and Beta Functions.- 1.4a Matrix-variate Gamma, Real Case.- 1.4b Matrix-variate Gamma Density, Real Case.- 1.4c The m. g. f. of a Matrix-variate Real Gamma Variable.- 1.4d Matrix-variate Beta, Real Case.- 1.5 Hypergeometric Series, Real Case.- 2 Quadratic and Bilinear Forms in Normal Vectors.- 2.0 Introduction.- 2.1 Various Representations.- 2.2 Density of a Gamma Difference.- 2.2a Some Particular Cases.- 2.3 Noncentral Gamma Difference.- 2.4 Moments and Cumulants of Bilinear Forms.- 2.4a Joint Moments and Cumulants of Quadratic and Bilinear Forms.- 2.4b Joint Cumulants of Bilinear Forms.- 2.4c Moments and Cumulants in the Singular Normal Case.- 2.4d Cumulants of Bilinear Expressions.- 2.5 Laplacianness of Bilinear Forms.- 2.5a Quadratic and Bilinear Forms in the Nonsingular Normal Case.- 2.5b NS Conditions for the Noncorrelated Normal Case.- 2.5c Quadratic and Bilinear Forms in the Singular Normal Case.- 2.5d Noncorrelated Singular Normal Case.- 2.5e The NS Conditions for a Quadratic Form to be NGL.- 2.6 Generalizations to Bilinear and Quadratic Expressions.- 2.6a Bilinear and Quadratic Expressions in the Nonsingular Normal Case.- 2.6b Bilinear and Quadratic Expressions in the Singular Normal Case.- 2.7 Independence of Bilinear and Quadratic Expressions.- 2.7a Independence of a Bilinear and a QuadraticForm.- 2.7b Independence of Two Bilinear Forms.- 2.7c Independence of Quadratic Expressions: Nonsingular Normal Case.- 2.7d Independence in the Singular Normal Case.- 2.8 Bilinear Forms and Noncentral Gamma Differences.- 2.8a Bilinear Forms in the Equicorrelated Case.- 2.8b Noncentral Case.- 2.9 Rectangular Matrices.- 2.9a Matrix-variate Laplacian.- 2.9b The Density of S2i.- 2.9c A Particular Case.- Exercises.- 3 Quadratic and Bilinear Forms in Elliptically Contoured Distributions.- 3.0 Introduction.- 3.1 De£nitions and Basic Results.- 3.2 Moments of Quadratic Forms.- 3.3 The Distribution of Quadratic Forms.- 3.4 Noncentral Distribution.- 3.5 Quadratic Forms in Random Matrices.- 3.6 Quadratic Forms of Random Idempotent Matrices.- 3.7 Cochran’s Theorem.- 3.8 Test Statistics for Elliptically Contoured Distributions.- Sample Correlation Coefficient.- Likelihood Ratio Criteria.- Exercises.- 4 Zonal Polynomials.- 4.0 Introduction.- 4.1 Wishart Distribution.- 4.2 Symmetric Polynomials.- 4.3 Zonal Polynomials.- 4.4 Laplace Transform and Hypergeometric Function.- 4.5 Binomial Coefficients.- 4.6 Some Special Functions.- Exercises.- Table 4.3.2(a).- Table 4.3.2(b).- Table 4.4.1.- 5 Generalized Quadratic Forms.- 5.0 Introduction.- 5.1 A Representation of the Distribution of a Generalized Quadratic Form.- 5.2 An Alternate Representation.- 5.3 The Distribution of the Latent Roots of a Quadratic Form.- 5.4 Distributions of Some Functions of XAX’.- 5.5 Generalized Hotelling’s T02.- 5.6 Anderson’s Linear Discriminant Function.- 5.7 Multivariate Calibration.- 5.8 Asymptotic Expansions of the Distribution of a Quadratic Form.- Exercises.- Table 5.6.1.- Table 5.6.2.- Appendix Invariant Polynomials.- Appendix A. l Representation of a Group.- Appendix A.2 Integration of theRepresentation Matrix over the Orthogonal Group.- Glossary of Symbols.- Author Index.More/other books that might be very similar to this book
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