Application of the limit of truncated isotonic regression in optimization subject to isotonic and bounding constraints

dc.contributor.authorHu, Xiaomi
dc.date.accessioned2019-04-26T18:31:57Z
dc.date.available2019-04-26T18:31:57Z
dc.date.issued2002-05-25
dc.descriptionClick on the DOI link below to access the article (may not be free).
dc.description.abstractAn isotonic regression truncated by confining its domain to a union of its level sets is the isotonic regression in the reduced function space. When some of the weights with which the inner product system is defined go to infinity, the truncated isotonic regression converges. This limit can be used in discribing the projection onto the set of vectors which satisfy an order restriction and have one or more of its coordinates bounded above and/or below. Through this characterization, two inequalities associated with the projection are established and found useful in order and bound restricted statistical inference. The results obtained show that for an exponential distribution family the inequalities lead to the linkage of the order and bound restricted MLE with the projection of the unrestricted MLE, and the dominance of the order and bound restricted MLE over the unrestricted MLE with respect to two classes of loss functions and risks as well as Bayes risks.
dc.identifier.citationXiaomi Hu, Application of the Limit of Truncated Isotonic Regression in Optimization Subject to Isotonic and Bounding Constraints, Journal of Multivariate Analysis, Volume 71, Issue 1, 1999, Pages 56-66, ISSN 0047-259X, https://doi.org/10.1006/jmva.1999.1829.
dc.identifier.issn0047-259X
dc.identifier.urihttp://dx.doi.org/10.1006/jmva.1999.1829
dc.identifier.urihttp://hdl.handle.net/10057/16142
dc.language.isoen-US
dc.publisherAcademic Press Inc.
dc.relation.ispartofseriesJournal of Multivariate Analysis
dc.relation.ispartofseriesv 71, no. 1
dc.rights.holderCopyright 1999 Academic Press. Published by Elsevier Inc. All rights reserved.
dc.subjectAlgorithm
dc.subjectBayes risk
dc.subjectIsotonic regression
dc.subjectLoss function
dc.subjectMaximum likelihood estimation
dc.subjectOrder restricted inference
dc.subjectProjection
dc.subjectRisk
dc.titleApplication of the limit of truncated isotonic regression in optimization subject to isotonic and bounding constraints
dc.typeArticle
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