A distribution for dependent unit vectors

DOI10.1080/03610928808829634zbMath0644.62060OpenAlexW1994593049MaRDI QIDQ3787306

Louis-Paul Rivest

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829634

zbMATH Keywords

momentscorrelationdirectional datalimiting formsapproximations to the maximum likelihood estimatesbivariate generalization of the Fisher-von Mises distributionlarge sample tests of independenceNew tests of independenceremanent magnetisationsmall sample tests of independence

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Hypothesis testing in multivariate analysis (62H15) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

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Cites Work

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• Symmetric distributions for dependent unit vectors
• Modified Kent's statistics for testing goodness of fit for the Fisher distribution in small concentrated samples
• Dependent unit vectors
• A correlation coefficient for circular data
• A general correlation coefficient for directional data and related regression problems
• Nonparametric Measures of Angular-Angular Association
• Vector correlation

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