Singular Wishart and multivariate beta distributions

Annals of Statistics

Volumn 31, Issue 5, 2003, Pages 1537-1560

  Srivastava, M S ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Jacobian of transformations; Normal distribution; Pseudo Wishart; Singular noncentral Wishart; Stiefel manifold

Indexed keywords

EID: 0242511222     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1065705118     Document Type: Article

References (10)

1. DÍAZ-GARCÍA, J. A. and GUTIÉRREZ-JÁIMEZ, R. (1997). Proof of the conjectures of H. Uhlig on the singular multivariate beta and the Jacobian of a certain matrix transformation. Ann. Statist. 25 2018-2023.
2. DÍAZ-GARCÍA, J. A., GUTIÉRREZ-JÁIMEZ, R. and MARDIA, K. V. (1997). Wishart and pseudo-Wishart distributions and some applications to shape theory. J. Multivariate Anal. 63 73-87.
3. JAMES, A. T. (1964). Distributions of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 475-501.
4. KHATRI, C. G. (1968). Some results for the singular normal multivariate regression models. Sankhyā Ser. A 30 267-280.
5. KHATRI, C. G. (1970). A note on Mitra's paper "A density free approach to the matrix variate beta distribution." Sankhyā Ser. A 32 311-317.
6. MITRA, S. K. (1970). A density free approach to the matrix variate beta distribution. Sankhyā Ser. A 32 81-88.
7. OLKIN, I. (1951). On distribution problems in multivariate analysis. Mimeograph Series 43 1-126. Institute of Statistics, Univ. North Carolina, Chapel Hill.
8. ROY, S. N. (1957). Some Aspects of Multivariate Analysis. Wiley, New York.
9. SRIVASTAVA, M. S. and KHATRI, C. G. (1979). An Introduction to Multivariate Statistics. North-Holland, New York.
10. UHLIG, H. (1994). On singular Wishart and singular multivariate beta distributions. Ann. Statist. 22 395-405.