An algorithm for computing multivariate isotonic regression
type: Item
instance of: scholarly article
title: An algorithm for computing multivariate isotonic regression
zbMATH Open document ID: 0765.62069
author: Syoichi Sasabuchi
author: Makoto Inutsuka
author: D. D. Sarath Kulatunga
published in: Hiroshima Mathematical Journal
publication date: 1993-05-16T00:00:00Z
review text: An algorithm for the computation of bivariate isotonic regression was given in the authors' paper Biometrika 70, 465-472 (1983; Zbl 0559.62043). This algorithm involves iterative computation of univariate isotonic regression. The main purpose of this paper is to present a multivariate generalization of the algorithm described for the bivariate case. The definition of multivariate isotonic regression and some important results are stated in section 2. In section 3 we describe the multivariate generalization of the algorithm. Some theorems on convergence of the algorithm are given in section 4.
Mathematics Subject Classification ID: 62J05
Mathematics Subject Classification ID: 62F30
Mathematics Subject Classification ID: 65C99
zbMATH DE Number: 169017
zbMATH Keywords: multivariate isotonic regression
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206128502
OpenAlex ID: W1485365027
Wikidata QID: Q128866706
DOI: 10.32917/HMJ/1206128502
description: scientific article; zbMATH DE number 169017