On the computation and some applications of multivariate isotonic regression

DOI10.1016/j.csda.2007.01.009zbMath1452.62571OpenAlexW2111738179MaRDI QIDQ1020867

W. T. P. S. Fernando, D. D. Sarath Kulatunga

Publication date: 2 June 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2007.01.009

zbMATH Keywords

Monte Carlo simulationmaximum likelihood estimatormultivariate isotonic regressioninference under order restrictionssimultaneous homogeneity

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Software, source code, etc. for problems pertaining to statistics (62-04) Hypothesis testing in multivariate analysis (62H15) Parametric inference under constraints (62F30) Linear inference, regression (62J99)

Related Items

On the conditional test of order restricted multivariate normal mean vectors: simulation study and application, A convergent algorithm for a generalized multivariate isotonic regression problem, Editorial: Special issue on statistical algorithms and software, On the convergence of row-modification algorithm for matrix projections, Upper Bound forp-Value of the Test of Multivariate Normal Ordered Mean Vectors Against all Alternatives

Uses Software

• AS 257
• AS 206
• AS 149

Cites Work

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• Active set algorithms for isotonic regression; a unifying framework
• An algorithm for isotonic regression for two or more independent variables
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• Algorithm AS 257: Isotonic Regression for Umbrella Orderings
• A TEST OF HOMOGENEITY OF MEAN VECTORS AGAINST MULTIVARIATE ISOTONIC ALTERNATIVES
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES. II
• A test for a multiple isotonic regression problem
• Algorithm AS 149: Amalgamation of Means in the Case of Simple Ordering
• Comparison of Powers of some Tests for Testing Homogeneity Under Order Restrictions in Multivariate Normal Means
• Estimation and test of several multivariate normal means under an order restriction when the dimension is larger than two
• A multivariate version of isotonic regression