References
Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria,Biometrika,36, 317–346.
Coddington, E. A. and Levinson, N. (1955).Theory of Ordinary Differential Equations, McGraw-Hill, New York.
Constantine, A. G. (1966). The distribution of Hotelling's generalizedT 0 2,Ann. Math. Statist.,37, 215–225.
Davis, A. W. (1968). A system of linear differential equations for the distribution of Hotelling's generalizedT 0 2,Ann. Math. Statist.,39, 815–832.
Davis, A. W. (1969). Exact distributions of Hotelling's generalizedT 0 2, To appear inBiometrika.
Davis, A. W. (1970). On the null distribution of the sum of the roots of a multivariate beta distribution, (to appear inAnn. Math. Statist).
Davis, A. W. (1969). Cornish-Fisher-type in versions of Box's asymptotic series, Submitted for publication.
Hotelling, H. (1951). A generalizedT-test and measure of multivariate dispersion,Proc. Second Berkeley Symp. Math. Statist. Prob., University of California Press, 23–42.
Ito, K. (1956). Asymptotic formulae for the distribution of Hotelling's generalizedT 0 2 statistic,Ann. Math. Statist.,27, 1091–1105.
Johnson, N. L., Nixon, E., Amos D. E. and Pearson, E. S. (1963). Table of percentage points of Pearson curves, for given √β1 and β2, expressed in standard measure,Biometrika,50, 459–498.
Lawley, D. N. (1938). A generalization of Fisher'sZ-test,Biometrika,30, 180–187.
Muirhead, R. J. (1969). Asymptotic distributions of some multivariate tests, Submitted for publication.
Pillai, K.C.S. (1955). Some new test criteria in multivariate analysis,Ann. Math. Statist.,26, 117–121.
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This work was partly supported by The National Institute of Health Grant GM-12868-05.
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Davis, A.W. Further applications of a differential equation for Hotelling's generalizedT 20 . Ann Inst Stat Math 22, 77–87 (1970). https://doi.org/10.1007/BF02506325
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DOI: https://doi.org/10.1007/BF02506325