Merge and chop in the computation for isotonic regressions
Hu, Xiaomi Hansohm, Juergen
Hu, Xiaomi
Hansohm, Juergen
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2008-10-01
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Article
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Isotonic regression,Lower set,Projection,Quasi-order,Upper set
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Citation
Xiaomi Hu, Jürgen Hansohm, Merge and chop in the computation for isotonic regressions, Journal of Statistical Planning and Inference, Volume 138, Issue 10, 2008, Pages 3099-3106, ISSN 0378-3758, https://doi.org/10.1016/j.jspi.2007.12.004.
Abstract
In this article the sufficient conditions for the merge and chop of domain partition sets during the computation for isotonic regressions are derived. The proposed merge-and-chop procedure yields exact isotonic regressions in finite steps when the orderings are of Type I or II defined in this paper. Simple tree orderings, umbrella orderings and simple orderings are of Type I or II. The paper also provides an example showing that the procedure works beyond Types I and II orderings. © 2008 Elsevier B.V. All rights reserved.
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Elsevier B.V.
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Journal of Statistical Planning and Inference
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03783758