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作者:Cai, T. Tony; Sun, Wenguang
作者单位:University of Pennsylvania
摘要:In large-scale multiple testing problems, data are often collected from heterogeneous sources and hypotheses form into groups that exhibit different characteristics. Conventional approaches, including the pooled and separate analyses, fail to efficiently utilize the external grouping information. We develop a compound decision theoretic framework for testing grouped hypotheses and introduce an oracle procedure that minimizes the false nondiscovery rate subject to a constraint on the false disc...
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作者:Chung, Yeonseung; Dunson, David B.
作者单位:Harvard University; Harvard T.H. Chan School of Public Health; Duke University
摘要:This article considers a methodology for flexibly characterizing the relationship between a response and multiple predictors. Goals are (1) to estimate the conditional response distribution addressing the distributional changes across the predictor space, and (2) to identify important predictors for the response distribution change both within local regions and globally. We first introduce the probit stick-breaking process (PSBP) as a prior for an uncountable collection of predictor-dependent ...
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作者:Huang, Jianhua Z.; Shen, Haipeng; Buja, Andreas
作者单位:Texas A&M University System; Texas A&M University College Station; University of North Carolina; University of North Carolina Chapel Hill; University of Pennsylvania
摘要:Two-way functional data consist of a data matrix whose row and column domains are both structured, for example, temporally or spatially, as when the data are time series collected at different locations in space. We extend one-way functional principal component analysis (PCA) to two-way functional data by introducing regularization of both left and right singular vectors in the singular value decomposition (SVD) of the data matrix. We focus oil a penalization approach and solve the nontrivial ...
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作者:Paindaveine, Davy
作者单位:Universite Libre de Bruxelles; Universite Libre de Bruxelles
摘要:This paper proposes several extensions of the concept of runs to the multivariate setup, and studies the resulting tests of multivariate randomness against serial dependence. Two types of multivariate runs are defined: (i) an elliptical extension of the spherical runs proposed by Marden (1999), and (ii) an original concept of matrix-valued runs. The resulting runs tests themselves exist in various versions, one of which is a function of the number of data-based hyperplanes separating pairs of ...
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作者:Lennox, Kristin P.; Dahl, David B.; Vannucci, Marina; Tsai, Jerry W.
作者单位:Texas A&M University System; Texas A&M University College Station; Rice University; University of the Pacific
摘要:Interest in predicting protein backbone conformational angles has prompted the development of modeling and inference procedures for bivariate angular distributions. We present it Bayesian approach to density estimation for bivariate angular data that uses a Dirichlet process mixture model and a bivariate von Mises distribution. We derive the necessary full conditional distributions 10 fit the model, as well as the details for sampling from the posterior predictive distribution, We show how our...
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作者:Murphy, S. A.; Bingham, D.
作者单位:University of Michigan System; University of Michigan; Simon Fraser University
摘要:Dynamic treatment regimes are time-varying treatments that individualize sequences of treatments to the patient. The construction of dynamic treatment regimes is challenging because a patient will be eligible for some treatment components only if he has not responded (or has responded) to other treatment components. In addition, there are usually a number of potentially useful treatment components and combinations thereof. In this article, we propose new methodology for identifying promising c...