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Krishnaiah, P. R. – Journal of Multivariate Analysis, 1976
In this paper, the author gives a review of the literature on complex multivariate distributions. Some new results on these distributions are also given. Finally, the author discusses the applications of the complex multivariate distributions in the area of the inference on multiple time series. (Author)
Descriptors: Difficulty Level, Hypothesis Testing, Matrices, Probability
Peer reviewed Peer reviewed
Venables, W. – Journal of Multivariate Analysis, 1976
Recent results of Bloomfield and Watson and Knott are used to derive a class of union-intersection tests for sphericity from likelihood ratio tests of independence of two sets of variates. It is shown that the ordinary likelihood ratio test for sphericity has a natural union-intersection interpretation. (Author/RC)
Descriptors: Correlation, Hypothesis Testing, Matrices, Orthogonal Rotation
Peer reviewed Peer reviewed
Carter, E. M.; And Others – Journal of Multivariate Analysis, 1976
The distribution of the likelihood ratio test for testing the reality of the covariance matrix of a complete multivariate normal distribution is investigated. (Author/RC)
Descriptors: Analysis of Covariance, Hypothesis Testing, Matrices, Probability