A stochastic calculus approach to the shape distribution induced by a complex normal model

DOI10.1017/S0305004100069681zbMath0723.60015OpenAlexW2088303733MaRDI QIDQ3210607

Huiling Le

Publication date: 1991

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100069681

zbMATH Keywords

Brownian motionRiemannian manifoldcomplex projective spaceshape spacecomplex normal distributionshape distributionMardia-Dryden shape

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic integrals (60H05) Shape theory in general topology (54C56) Shapes (aspects of topological manifolds) (57N25)

Related Items (3)

Brownian motion and Ornstein-Uhlenbeck processes in planar shape space ⋮ The noncentral Bartlett decompositions and shape densities ⋮ Bayesian registration of functions and curves

Cites Work

• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• Shape distributions for landmark data

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