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dc.contributor.authorEl Barmi, Hammou
dc.contributor.authorMukerjee, Hari
dc.identifier.citationEl Barmi, Hammou; Mukerjee, Hari. 2016. Consistent estimation of survival functions under uniform stochastic ordering; the k-sample case. Journal of Multivariate Analysis, vol. 144, February 2016:pp 99–109en_US
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractLet S-1, S-2, ... , S-k be survival functions of life distributions. They are said to be uniformly stochastically ordered, S-1 <=(uso) S-2 <=(uso) ... <=(uso) S-k, if S-i/Si+1 is a survival function for 1 <= i <= k - 1. The nonparametric maximum likelihood estimators of the survival functions subject to this ordering constraint are known to be inconsistent in general. Consistent estimators were developed only for the case of k = 2. In this paper we provide consistent estimators in the k-sample case, with and without censoring. In proving consistency, we needed to develop a new algorithm for isotonic regression that may be of independent interest.en_US
dc.description.sponsorshipThe City University of New York through a PSC-CUNY grant (TRADA-45-515).en_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofseriesJournal of Multivariate Analysis;v.144
dc.subjectIsotonic regressionen_US
dc.subjectUniform stochastic orderingen_US
dc.titleConsistent estimation of survival functions under uniform stochastic ordering; the k-sample caseen_US
dc.rights.holderCopyright © 2015 Elsevier Inc. All rights reserved.en_US

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