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Deriving Directional Variance from Covariance Matrix

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Abstract:

Abstract

Directional variance characterizes the dispersion of a sample of directions. The derivation of directional variance, as it has appeared in the directional statistics literature, is from a geometric and intuitive approach. This short note presents a new derivation from the covariance matrix of directions. It provides a connection from directional variance to the covariance matrix of unit vectors.

Document Type: Technical Note

DOI: https://doi.org/10.1111/j.1467-9671.2005.00226.x

Affiliations: Department of Geography University of Kansas

Publication date: 2005-06-01

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