Advanced search
Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 16, 1985 - Issue 4
Submit an article Journal homepage
30
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

On generalized matric variate beta distributions

W.R. JavierUniversity of North Dakota and Bowling Green State University
&
A. K. GuptaUniversity of North Dakota and Bowling Green State University
Pages 549-558 | Published online: 27 Jun 2007

References

  • Asoo, YASUHIRO, 1969. On the T-distribution of a matric argument and its related distributions., Mem. Fac. Lit. & Sci. Shimane University, Nat. Sci. 2 (1969), pp. 1–13.
  • Deemer, W.L., and Olkin, I., 1951. The Jacobians of certain matrix transformations useful in multivariate analysis., Biometrika 38 (1951), pp. 345–367.
  • Finkbeiner, D.T., 1965. Introduction to Matrices and Linear Transformations.. W.H. Freeman and Co.; 1965.
  • Gupta, A.K., 1971. Noncentral distribution of Wilks' statistic in MANOVA., Ann. Math. Statist. 42 (1971), pp. 1254–1261.
  • Gupta, A.K., and Javier, W.R., 1983. "Nonnull distribution of the determinant of B-statistics in multivariate analysis". In: Department of Mathematics and Statistics. Bowling Green State University; 1983. pp. 83–105.
  • Hart, M.L., and Money, A.H., 1976. On Wilk's multivariate generalization of the correlation ratio., Biometrika 63 (1976), pp. 59–67.
  • Herz, C.S., 1955. Bessel function of matrix arguments., Ann. Math. 61 (1955), pp. 474–523.
  • James, A.T., 1964. Distributions of matrix variates and latent roots derived from normal samples., Ann. Math. Statist. 35 (1964), pp. 475–500.
  • .
  • Johnson, N.L., and Kotz, S., 1970. Continuous Univariate Distributions-2.. Boston: Houghton Mifflin Co.; 1970.
  • Kshirsagar, A.M., 1972. Multivariate Analysis. New York and Basel: Marcel Dekker; 1972.
  • Muirhead, R.J., 1982. Aspects of Multivariate Statistical Theory.. New York: Wiley; 1982.
  • Olkin, I., and Rubin, H., 1964. Multivariate beta distributions and independence properties of the Wishart distribution., Ann. Math. Statist. 35 (1964), pp. 261–269.
  • Pillai, K.C.S., and Gupta, A.K., 1969. On the exact distribution of Wilks' criterion, Biometrika 56 (1969), pp. 109–118.
  • Press, J., 1971. Applied Multivariate Analysis. New York: Holt, Rinehart and Winston, Inc.; 1971.
  • Tan, W.Y., 1969. Note on the multivariate and the generalized multivariate beta distributions., J. Amer. Statist. Assoc. 64 (1969), pp. 230–241.
  • Tiao, G.G., and I., GUTTMAN, 1965. The inverted Dirichlet distribution with applications., J. Amer. Statist. Assoc. 60 (1965), pp. 793–805.
  • .
  • Wilks, S.S., 1962. Mathematical Statistics.. New York: Wiley; 1962.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.