Modified Kent's statistics for testing goodness of fit for the Fisher distribution in small concentrated samples

DOI10.1016/0167-7152(86)90028-3zbMath0593.62054OpenAlexW2018604041MaRDI QIDQ1076459

Louis-Paul Rivest

Publication date: 1986

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(86)90028-3

zbMATH Keywords

von Mises-Fisher distributioneigenvaluesprincipal componentslimiting null distributiondirectional datagoodness of fitconcentration parameterFisher distributionKent's statisticsample cross product matrixsmall concentrated samples

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15)

Related Items (4)

A distribution for dependent unit vectors ⋮ Inference for spherical location under high concentration ⋮ Goodness-of-fit for a concentrated von Mises-Fisher distribution ⋮ Modified Bessel functions and their applications in probability and statistics

Cites Work

• Principal components in the nonnormal case: The test of equality of q roots
• A small circle distribution on the sphere
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