Frame theory in directional statistics

Details Frame theory in directional statistics Frame theory in directional statistics

2010-12-30

arxiv.org/abs/1101.0122v1

Stat. Probabil. Lett., vol. 81, no. 8 (2011), 1046-1051

Statistics

Applications

Scientific paper

10.1016/j.spl.2011.02.027

Distinguishing between uniform and non-uniform sample distributions is a common problem in directional data analysis; however for many tests, non-uniform distributions exist that fail uniformity rejection. By merging directional statistics with frame theory, we find that probabilistic tight frames yield non-uniform distributions that minimize directional potentials, leading to failure of uniformity rejection for the Bingham test. Finally, we apply our results to model patterns found in granular rod experiments.

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