The distribution of the sphericity test criterion
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Publication:2559891
DOI10.1016/0047-259X(73)90025-0zbMath0258.62035MaRDI QIDQ2559891
B. N. Nagarsenker, K. C. S. Pillai
Publication date: 1973
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
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Cites Work
- The exact distribution of Votaw's criteria
- The distribution of the sphericity test criterion
- On the Exact Distributions of the Criterion $W$ for Testing Sphericity in a $p$-Variate Normal Distribution
- On the Distribution of the Sphericity Test Criterion in Classical and Complex Normal Populations Having Unknown Covariance Matrices
- The distribution of a statistic used for testing sphericity of normal distributions
- Percentile approximations for a class of likelihood ratio criteria
- THE APPLICATION OF THE MOMENT FUNCTION IN THE STUDY OF DISTRIBUTION LAWS IN STATISTICS
- A GENERAL DISTRIBUTION THEORY FOR A CLASS OF LIKELIHOOD CRITERIA
- Approximation of the Distribution of the Product of Beta Variables by a Single Beta Variable
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