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Biometrika 1983 70(2):465-472; doi:10.1093/biomet/70.2.465
© 1983 by Biometrika Trust
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A multivariate version of isotonic regression

S. SASABUCHI, M. INUTSUKA and D. D. S. KULATUNGA

Department of Mathematics, Kyushu University Fukuoka, Japan

A multivariate generalization of isotonic regression is given enabling the study of statistical inference for ordered vector-valued parameters or sets of ordered parameters, including multivariate extensions of Bartholomew's . An iterative algorithm for computing multivariate isotonic regression is proposed and studied.

Key Words: Isotonic regression • Iterative algorithm • Multivariate isotonic regression • Order restriction • Ordered vectors


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