The statistical analysis of shape data. (English) Zbl 0666.62056

The paper deals with the statistical shape analysis of landmark data. F. L. Bookstein [Stat. Sci. 1, 181-242 (1986; Zbl 0614.62144)] introduced a plausible model and obtained a useful normal approximation for three landmarks. We use exact distribution theory and a normal approximation to consider maximum likelihood estimation. The Fisher information matrix for the normal approximation is given and we consider the hypothesis of shape change. Using these results, we analyse a practical example based on digitized shapes. This example motivated the work and the general direction for future work is indicated.


62H12 Estimation in multivariate analysis
62H10 Multivariate distribution of statistics
62P99 Applications of statistics
62E20 Asymptotic distribution theory in statistics


Zbl 0614.62144
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