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Biometrika 1972 59(3):665-676; doi:10.1093/biomet/59.3.665
© 1972 by Biometrika Trust
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Orientation statistics

THOMAS D. DOWNS

The University of Texas

Methods are given for summarizing and comparing the orientations of samples of orientable objects. It is assumed each orientation is characterized by p distinguishable directions in n-space with fixed angles between them. The probability distribution used for the orientations is closely related to the multinormal distribution: this is used for approximating some orientational sampling distributions. The methodology is illustrated with data from the clinical vectorcardiogram.

Key Words: Concentration matrix • Modal matrix • Multinormal • Orientation • Polar form • Precision matrix • Random direction • Random matrix • Random orthogonal matrix • Vectorcardiogram orientation • Wishart distribution


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