Frame theory in directional statistics

Martin Ehler and Jennifer Galanis

Statistics & Probability Letters, 2011, vol. 81, issue 8, 1046-1051

Abstract: 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. To predict these distributions, we merge directional statistics with frame theory and 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.

Keywords: Frames; Directional; statistics; Bingham; test; Granular; rods (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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