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作者:Zhou, Niwen; Guo, Xu
作者单位:Beijing Normal University; Beijing Normal University
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作者:Zhao, Jiwei
作者单位:University of Wisconsin System; University of Wisconsin Madison
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作者:Matsubara, Takuo; Knoblauch, Jeremias; Briol, Francois-Xavier; Oates, Chris J.
作者单位:Newcastle University - UK; Alan Turing Institute; University of London; University College London
摘要:Generalised Bayesian inference updates prior beliefs using a loss function, rather than a likelihood, and can therefore be used to confer robustness against possible mis-specification of the likelihood. Here we consider generalised Bayesian inference with a Stein discrepancy as a loss function, motivated by applications in which the likelihood contains an intractable normalisation constant. In this context, the Stein discrepancy circumvents evaluation of the normalisation constant and produces...
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作者:Ding, Peng
作者单位:University of California System; University of California Berkeley
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作者:Dong, Chaohua; Gao, Jiti; Linton, Oliver
作者单位:Zhongnan University of Economics & Law; Monash University; University of Cambridge
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作者:Kumar, Kuldeep
作者单位:Bond University
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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:Hunt, Ian
作者单位:University of Tasmania
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作者:Tchetgen, Eric J. Tchetgen
作者单位:University of Pennsylvania
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作者:Vansteelandt, Stijn; Dukes, Oliver
作者单位:Ghent University; University of London; London School of Hygiene & Tropical Medicine
摘要:Inference for the parameters indexing generalised linear models is routinely based on the assumption that the model is correct and a priori specified. This is unsatisfactory because the chosen model is usually the result of a data-adaptive model selection process, which may induce excess uncertainty that is not usually acknowledged. Moreover, the assumptions encoded in the chosen model rarely represent some a priori known, ground truth, making standard inferences prone to bias, but also failin...