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作者:Chib, Siddhartha; Shin, Minchul; Simoni, Anna
作者单位:Washington University (WUSTL); Federal Reserve System - USA; Federal Reserve Bank - Philadelphia; Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS); ENSAE Paris
摘要:We consider the Bayesian analysis of models in which the unknown distribution of the outcomes is specified up to a set of conditional moment restrictions. The non-parametric exponentially tilted empirical likelihood function is constructed to satisfy a sequence of unconditional moments based on an increasing (in sample size) vector of approximating functions (such as tensor splines based on the splines of each conditioning variable). For any given sample size, results are robust to the number ...
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作者:Cohen, Peter L.; Fogarty, Colin B.
作者单位:Massachusetts Institute of Technology (MIT)
摘要:In finite population causal inference exact randomization tests can be constructed for sharp null hypotheses, hypotheses which impute the missing potential outcomes. Oftentimes inference is instead desired for the weak null that the sample average of the treatment effects takes on a particular value while leaving the subject-specific treatment effects unspecified. Tests valid for sharp null hypotheses can be anti-conservative should only the weak null hold. We develop a general framework for u...
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作者:Papadogeorgou, Georgia; Imai, Kosuke; Lyall, Jason; Li, Fan
作者单位:State University System of Florida; University of Florida; Harvard University; Harvard University; Dartmouth College; Duke University; State University System of Florida; University of Florida
摘要:Many causal processes have spatial and temporal dimensions. Yet the classic causal inference framework is not directly applicable when the treatment and outcome variables are generated by spatio-temporal point processes. We extend the potential outcomes framework to these settings by formulating the treatment point process as a stochastic intervention. Our causal estimands include the expected number of outcome events in a specified area under a particular stochastic treatment assignment strat...
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作者:Hunt, Ian
作者单位:University of Tasmania
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作者:Dunson, David B.; Wu, Hau-Tieng; Wu, Nan
作者单位:Duke University; Duke University
摘要:In nonparametric regression, it is common for the inputs to fall in a restricted subset of Euclidean space. Typical kernel-based methods that do not take into account the intrinsic geometry of the domain across which observations are collected may produce sub-optimal results. In this article, we focus on solving this problem in the context of Gaussian process (GP) models, proposing a new class of Graph Laplacian based GPs (GL-GPs), which learn a covariance that respects the geometry of the inp...
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作者:Zhu, Ziwei; Wang, Tengyao; Samworth, Richard J.
作者单位:University of Cambridge; University of Michigan System; University of Michigan; University of London; London School Economics & Political Science
摘要:We study the problem of high-dimensional Principal Component Analysis (PCA) with missing observations. In a simple, homogeneous observation model, we show that an existing observed-proportion weighted (OPW) estimator of the leading principal components can (nearly) attain the minimax optimal rate of convergence, which exhibits an interesting phase transition. However, deeper investigation reveals that, particularly in more realistic settings where the observation probabilities are heterogeneou...
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作者:Zhou, Quan; Yang, Jun; Vats, Dootika; Roberts, Gareth O.; Rosenthal, Jeffrey S.
作者单位:Texas A&M University System; Texas A&M University College Station; University of Oxford; Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Kanpur; University of Warwick; University of Toronto
摘要:Yang et al. proved that the symmetric random walk Metropolis-Hastings algorithm for Bayesian variable selection is rapidly mixing under mild high-dimensional assumptions. We propose a novel Markov chain Monte Carlo (MCMC) sampler using an informed proposal scheme, which we prove achieves a much faster mixing time that is independent of the number of covariates, under the assumptions of Yang et al. To the best of our knowledge, this is the first high-dimensional result which rigorously shows th...
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作者:Tchetgen, Eric J. Tchetgen
作者单位:University of Pennsylvania
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作者:Sarkar, Soham; Panaretos, Victor M.
作者单位:Indian Statistical Institute; Indian Statistical Institute Delhi; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
摘要:Covariance estimation is ubiquitous in functional data analysis. Yet, the case of functional observations over multidimensional domains introduces computational and statistical challenges, rendering the standard methods effectively inapplicable. To address this problem, we introduce Covariance Networks (CovNet) as a modelling and estimation tool. The CovNet model is universal-it can be used to approximate any covariance up to desired precision. Moreover, the model can be fitted efficiently to ...
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作者:Walther, Guenther; Perry, Andrew
作者单位:Stanford University
摘要:We consider the problem of detecting an elevated mean on an interval with unknown location and length in the univariate Gaussian sequence model. Recent results have shown that using scale-dependent critical values for the scan statistic allows to attain asymptotically optimal detection simultaneously for all signal lengths, thereby improving on the traditional scan, but this procedure has been criticised for losing too much power for short signals. We explain this discrepancy by showing that t...