The Complex Watson Distribution and Shape Analysis

DOI10.1111/1467-9868.00210zbMath0940.62048OpenAlexW1991082011MaRDI QIDQ4935292

Ian L. Dryden, Kanti V. Mardia

Publication date: 17 July 2000

Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9868.00210

zbMATH Keywords

maximum likelihoodshape analysiscomplex Bingham distributioncomplex Watson distributioncomplex sphereLandmarks

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Applications of statistics to biology and medical sciences; meta analysis (62P10) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

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Modeling Network Populations via Graph Distances ⋮ Entropy-based pivotal statistics for multi-sample problems in planar shape ⋮ Partial size-and-shape distributions ⋮ Bayesian shape analysis of the complex Bingham distribution ⋮ Brownian motion and Ornstein-Uhlenbeck processes in planar shape space ⋮ A Bayesian approach to statistical shape analysis via the projected normal distribution ⋮ Modeling shape distributions and inferences for assessing differences in shapes ⋮ Assessing shape differences in populations of shapes using the complex watson shape distribution ⋮ Directional statistics and shape analysis ⋮ Complex elliptical distributions with application to shape analysis ⋮ Shape Modeling by Optimising Description Length Using Gradients and Parameterisation Invariance ⋮ Distance-based tests for planar shape ⋮ Statistical analysis on high-dimensional spheres and shape spaces

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