Summary
Biological applications of the concepts of size variables and shape vectors are given. These use the continuous data of relative growth as well as the discrete data of pollen counts. The concepts of isometry and neutrality, which involve the independence of size and shape, are illustrated. Then “related pairs” of size variables, and “regular sequences” of size variables are defined and studied. These lead to general definitions of isometry and neutrality. The following general result is obtained. A positive random vector X can be neutral with respect to, at most, one related pair of size~ variables.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Mosimann, J.E. (1975). Statistical Problems of Size and Shape. I. Biological Applications and Basic Theorems. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1845-6_16
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DOI: https://doi.org/10.1007/978-94-010-1845-6_16
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