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作者:Kuffner, T. A.; Lee, S. M. S.; Young, G. A.
作者单位:Washington University (WUSTL); University of Hong Kong; Imperial College London
摘要:We establish a general theory of optimality for block bootstrap distribution estimation for sample quantiles under mild strong mixing conditions. In contrast to existing results, we study the block bootstrap for varying numbers of blocks. This corresponds to a hybrid between the subsampling bootstrap and the moving block bootstrap, in which the number of blocks is between 1 and the ratio of sample size to block length. The hybrid block bootstrap is shown to give theoretical benefits, and start...
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作者:Diaz, I; Hejazi, N. S.; Rudolph, K. E.; van der Laan, M. J.
作者单位:Cornell University; Weill Cornell Medicine; University of California System; University of California Berkeley; Columbia University
摘要:Interventional effects for mediation analysis were proposed as a solution to the lack of identifiability of natural (in)direct effects in the presence of a mediator-outcome confounder affected by exposure. We present a theoretical and computational study of the properties of the interventional (in)direct effect estimands based on the efficient influence function in the nonparametric statistical model. We use the efficient influence function to develop two asymptotically optimal nonparametric e...
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作者:Hazelton, M. L.; Mcveagh, M. R.; van Brunt, B.
作者单位:University of Otago; Massey University
摘要:For statistical linear inverse problems involving count data, inference typically requires sampling a latent variable with conditional support comprising of the lattice points in a convex polytope. Irreducibility of random walk samplers is guaranteed only if a sufficiently rich array of sampling directions is available. In principle, this can be achieved by finding a Markov basis of moves ab initio, but in practice doing so may be computationally infeasible. What is more, the use of a full Mar...
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作者:Luo, Wei; Li, Bing
作者单位:Zhejiang University; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
摘要:In many dimension reduction problems in statistics and machine learning, such as in principal component analysis, canonical correlation analysis, independent component analysis and sufficient dimension reduction, it is important to determine the dimension of the reduced predictor, which often amounts to estimating the rank of a matrix. This problem is called order determination. In this article, we propose a novel and highly effective order-determination method based on the idea of predictor a...
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作者:Plumlee, M.; Erickson, C. B.; Ankenman, B. E.; Lawrence, E.
作者单位:Northwestern University; United States Department of Energy (DOE); Los Alamos National Laboratory
摘要:Experiments are often used to produce emulators of deterministic computer code. This article introduces composite grid experimental designs and a sequential method for building the designs for accurate emulation. Computational methods are developed that enable fast and exact Gaussian process inference even with large sample sizes. We demonstrate that the proposed approach can produce emulators that are orders of magnitude more accurate than current approximations at a comparable computational ...
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作者:Guo, F. Richard; Richardson, Thomas S.; Robins, James M.
作者单位:University of Washington; University of Washington Seattle; Harvard University; Harvard T.H. Chan School of Public Health
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作者:Kim, S.; Cho, H.; Bang, D.; De Marchi, D.; El-Zaatari, H.; Shah, K. S.; Valancius, M.; Zikry, T. M.; Kosorok, M. R.
作者单位:University of North Carolina; University of North Carolina Chapel Hill
摘要:In this discussion, we examine the contributions of Qian et al. (2021) and potential applications of the newly developed estimator for the causal excursion effect in binary outcome data. Specifically, we consider extension of their method to count outcomes and observational data, propose an alternative use of their method for analysing excursion effect trajectories and discuss ways of improving estimator efficiency.
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作者:Qian, Tianchen; Yoo, Hyesun; Klasnja, Predrag; Almirall, Daniel; Murphy, Susan A.
作者单位:University of California System; University of California Irvine; University of Michigan System; University of Michigan; University of Michigan System; University of Michigan; Harvard University
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作者:Ma, Rong; Cai, T. Tony; Li, Hongzhe
作者单位:University of Pennsylvania; University of Pennsylvania
摘要:Motivated by the problem of estimating bacterial growth rates for genome assemblies from shotgun metagenomic data, we consider the permuted monotone matrix model Y = Theta Pi + Z where Y is an element of R-nxp is observed, Theta is an element of R-nxp an unknown approximately rank-one signal matrix with monotone rows, Pi is an element of R-pxp is an unknown permutation matrix, and Z is an element of R-nxp is the noise matrix. In this article we study estimation of the extreme values associated...
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作者:Amico, M.; Van Keilegom, I; Han, B.
作者单位:KU Leuven
摘要:Survival analysis relies on the hypothesis that, if the follow-up is long enough, the event of interest will eventually be observed for all observations. This assumption, however, is often not realistic. The survival data then contain a cure fraction. A common approach to modelling and analysing this type of data consists in using cure models. Two types of information can therefore be obtained: the survival at a given time and the cure status, both possibly modelled as a function of the covari...