Muirhead, Robb J. Aspects of multivariate statistical theory. (English) Zbl 0556.62028 Wiley Series in Probability and Mathematical Statistics. New York: John Wiley & Sons, Inc. XIX, 673 p. (1982). Cited in 6 ReviewsCited in 1161 Documents MSC: 62H10 Multivariate distribution of statistics 62-02 Research exposition (monographs, survey articles) pertaining to statistics 62E20 Asymptotic distribution theory in statistics 62Hxx Multivariate analysis Keywords:invariant measure; principal components; exterior products; differential forms; integrals on Stiefel manifolds; zonal polynomials; generalized hypergeometric functions; generalised Laguerre polynomials; canonical correlations; elliptic distributions; Wishart matrix; vec operation × Cite Format Result Cite Review PDF Digital Library of Mathematical Functions: §35.11 Tables ‣ Computation ‣ Chapter 35 Functions of Matrix Argument §35.2 Laplace Transform ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.4(ii) Properties ‣ §35.4 Partitions and Zonal Polynomials ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.4(i) Definitions ‣ §35.4 Partitions and Zonal Polynomials ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.6(ii) Properties ‣ §35.6 Confluent Hypergeometric Functions of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.6(i) Definitions ‣ §35.6 Confluent Hypergeometric Functions of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.7(iii) Partial Differential Equations ‣ §35.7 Gaussian Hypergeometric Function of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.7(ii) Basic Properties ‣ §35.7 Gaussian Hypergeometric Function of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.7(i) Definition ‣ §35.7 Gaussian Hypergeometric Function of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.7(iv) Asymptotic Approximations ‣ §35.7 Gaussian Hypergeometric Function of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.8(ii) Relations to Other Functions ‣ §35.8 Generalized Hypergeometric Functions of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.8(iv) General Properties ‣ §35.8 Generalized Hypergeometric Functions of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument Convergence Properties ‣ §35.8(i) Definition ‣ §35.8 Generalized Hypergeometric Functions of Matrix Argument ‣ Properties ‣ Chapter 35 Functions of Matrix Argument §35.9 Applications ‣ Applications ‣ Chapter 35 Functions of Matrix Argument Chapter 35 Functions of Matrix Argument Profile Robb J. Muirhead ‣ About the Project