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作者:Escobar-Bach, Mikael; Van Keilegom, Ingrid
作者单位:KU Leuven
摘要:An important research topic in survival analysis is related to the modelling and estimation of the cure rate, i.e. the proportion of subjects who will never experience the event of interest. However, most estimation methods proposed so far in the literature do not handle the case of insufficient follow-up, i.e. when the right end point of the support of the censoring time is strictly less than that of the survival time of the susceptible subjects, and consequently these estimators overestimate...
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作者:Singh, Satya Prakash; Davidov, Ori
作者单位:University of Haifa
摘要:There are many situations where one expects an ordering among K > 2 experimental groups or treatments. Although there is a large body of literature dealing with the analysis under order restrictions, surprisingly, very little work has been done in the context of the design of experiments. Here, a principled approach to the design of experiments with ordered treatments is provided. In particular we propose two classes of designs which are optimal for testing different types of hypotheses. The t...
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作者:Bassett, Robert; Sharpnack, James
作者单位:United States Department of Defense; United States Navy; Naval Postgraduate School; University of California System; University of California Davis
摘要:We introduce a method for non-parametric density estimation on geometric networks. We define fused density estimators as solutions to a total variation regularized maximum likelihood density estimation problem. We provide theoretical support for fused density estimation by proving that the squared Hellinger rate of convergence for the estimator achieves the minimax bound over univariate densities of log-bounded variation. We reduce the original variational formulation to transform it into a tr...
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作者:Fuquene, Jairo; Steel, Mark; Rossell, David
作者单位:University of Warwick; Pompeu Fabra University
摘要:Choosing the number of mixture components remains an elusive challenge. Model selection criteria can be either overly liberal or conservative and return poorly separated components of limited practical use. We formalize non-local priors (NLPs) for mixtures and show how they lead to well-separated components with non-negligible weight, interpretable as distinct subpopulations. We also propose an estimator for posterior model probabilities under local priors and NLPs, showing that Bayes factors ...
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作者:Greenewald, Kristjan; Zhou, Shuheng; Hero, Alfred, III
作者单位:International Business Machines (IBM); IBM USA; University of California System; University of California Riverside; University of Michigan System; University of Michigan
摘要:The paper introduces a multiway tensor generalization of the bigraphical lasso which uses a two-way sparse Kronecker sum multivariate normal model for the precision matrix to model parsimoniously conditional dependence relationships of matrix variate data based on the Cartesian product of graphs. We call this tensor graphical lasso generalization TeraLasso. We demonstrate by using theory and examples that the TeraLasso model can be accurately and scalably estimated from very limited data sampl...