A Multivariate Version of Isotonic Regression
Copyright policy )A Multivariate Version of Isotonic Regression
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 \({\bar \chi}{}^ 2_ k\) and \(\bar E^ 2_ k\). An iterative algorithm for computing multivariate isotonic regression is proposed and studied.
- Kyushu University Japan
order restriction, iterative algorithm, Linear inference, regression, ordered vector-valued parameters, Estimation in multivariate analysis, isotonic regression, Hypothesis testing in multivariate analysis, multivariate extension of Bartholomew's statistic
order restriction, iterative algorithm, Linear inference, regression, ordered vector-valued parameters, Estimation in multivariate analysis, isotonic regression, Hypothesis testing in multivariate analysis, multivariate extension of Bartholomew's statistic
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