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作者:Wang, Linbo; Richardson, Thomas S.; Zhou, Xiao-Hua
作者单位:University of Washington; University of Washington Seattle; US Department of Veterans Affairs; Veterans Health Administration (VHA); Vet Affairs Puget Sound Health Care System
摘要:It is common that, in multiarm randomized trials, the outcome of interest is truncated by death', meaning that it is only observed or well-defined conditioning on an intermediate outcome. In this case, in addition to pairwise contrasts, the joint inference for all treatment arms is also of interest. Under a monotonicity assumption we present methods for both pairwise and joint causal analyses of ordinal treatments and binary outcomes in the presence of truncation by death. We illustrate via ex...
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作者:Bradley, Jonathan R.; Wikle, Christopher K.; Holan, Scott H.
作者单位:University of Missouri System; University of Missouri Columbia
摘要:The modifiable areal unit problem and the ecological fallacy are known problems that occur when modelling multiscale spatial processes. We investigate how these forms of spatial aggregation error can guide a regionalization over a spatial domain of interest. By regionalization' we mean a specification of geographies that define the spatial support for areal data. This topic has been studied vigorously by geographers but has been given less attention by spatial statisticians. Thus, we propose a...
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作者:Belloni, Alexandre; Rosenbaum, Mathieu; Tsybakov, Alexandre B.
作者单位:Duke University; Sorbonne Universite; Institut Polytechnique de Paris; ENSAE Paris
摘要:We consider the linear regression model with observation error in the design. In this setting, we allow the number of covariates to be much larger than the sample size. Several new estimation methods have been recently introduced for this model. Indeed, the standard lasso estimator or Dantzig selector turns out to become unreliable when only noisy regressors are available, which is quite common in practice. In this work, we propose and analyse a new estimator for the errors-in-variables model....
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作者:Dalalyan, Arnak S.
摘要:Sampling from various kinds of distribution is an issue of paramount importance in statistics since it is often the key ingredient for constructing estimators, test procedures or confidence intervals. In many situations, exact sampling from a given distribution is impossible or computationally expensive and, therefore, one needs to resort to approximate sampling strategies. However, there is no well-developed theory providing meaningful non-asymptotic guarantees for the approximate sampling pr...
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作者:VanderWeele, Tyler J.; Tchetgen, Eric J. Tchetgen
作者单位:Harvard University; Harvard T.H. Chan School of Public Health
摘要:We consider causal mediation analysis when exposures and mediators vary over time. We give non-parametric identification results, discuss parametric implementation and also provide a weighting approach to direct and indirect effects based on combining the results of two marginal structural models. We also discuss how our results give rise to a causal interpretation of the effect estimates produced from longitudinal structural equation models. When there are time varying confounders affected by...