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The complex Watson distribution and shape analysis

delete2002-01-06
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K
Kanti V. Mardia
I
Ian L. Dryden *
DOI:10.1111/1467-9868.00210delete
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摘要

摘要

En 中文
The complex Watson distribution is an important simple distribution on the complex sphere which is used in statistical shape analysis. We describe the density, obtain the integrating constant and provide large sample approximations. Maximum likelihood estimation and hypothesis testing procedures for one and two samples are described. The particular connection with shape analysis is discussed and we consider an application examining shape differences between normal and schizophrenic brains. We make some observations about Bayesian shape inference and finally we describe a more general rotationally symmetric family of distributions.
Keyword:
complex Bingham distribution
complex sphere
complex Watson distribution
distribution
G. S. Watson
landmarks
maximum likelihood
shape
shape analysis
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期刊

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
论文数:
1.5K
被引数:
3.2W

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