-
作者:Zhou, Ying; Zhang, Xinyi
作者单位:University of Toronto
-
作者:Zhang, Yunyi; Politis, Dimitris N.
作者单位:The Chinese University of Hong Kong, Shenzhen; University of California System; University of California San Diego; University of California System; University of California San Diego; University of California System; University of California San Diego
摘要:High-dimensional linear models with independent errors have been well-studied. However, statistical inference on a high-dimensional linear model with heteroskedastic, dependent (and possibly nonstationary) errors is still a novel topic. Under such complex assumptions, the paper at hand introduces a debiased and thresholded ridge regression estimator that is consistent, and is able to recover the model sparsity. Moreover, we derive a Gaussian approximation theorem for the estimator, and apply a...
-
作者:He, Yinqiu; Gu, Yuqi; Ying, Zhiliang
作者单位:University of Wisconsin System; University of Wisconsin Madison; Columbia University; Columbia University
-
作者:Gronsbell, Jessica L.; Cai, Tianxi
-
作者:Crane, Harry; Xu, Min
作者单位:Rutgers University System; Rutgers University New Brunswick
摘要:Many statistical models for networks overlook the fact that most real-world networks are formed through a growth process. To address this, we introduce the Preferential Attachment Plus Erd & odblac;s-R & eacute;nyi model, where we let a random network G be the union of a preferential attachment (PA) tree T and additional Erd & odblac;s-R & eacute;nyi (ER) random edges. The PA tree captures the underlying growth process of a network where vertices/edges are added sequentially, while the ER comp...
-
作者:Goncalves, Flavio B.; Gamerman, Dani
作者单位:Universidade Federal de Minas Gerais; Universidade Federal do Rio de Janeiro
-
作者:Liu, Yukun; Fan, Yan
作者单位:East China Normal University; Shanghai University of International Business & Economics
摘要:Inverse probability weighting (IPW) is widely used in many areas when data are subject to unrepresentativeness, missingness, or selection bias. An inevitable challenge with the use of IPW is that the IPW estimator can be remarkably unstable if some probabilities are very close to zero. To overcome this problem, at least three remedies have been developed in the literature: stabilizing, thresholding, and trimming. However, the final estimators are still IPW-type estimators, and inevitably inher...
-
作者:Miao, Ruizhong; Li, Tianxi
作者单位:University of Virginia
摘要:In a complex network, the core component with interesting structures is usually hidden within noninformative connections. The noises and bias introduced by the noninformative component can obscure the salient structure and limit many network modeling procedures' effectiveness. This paper introduces a novel core-periphery model for the noninformative periphery structure of networks without imposing a specific form of the core. We propose spectral algorithms for core identification for general d...
-
作者:Goncalves, Flavio B.; Latuszynski, Krzysztof; Roberts, Gareth O.
作者单位:Universidade Federal de Minas Gerais; University of Warwick
摘要:Statistical inference for discretely observed jump-diffusion processes is a complex problem which motivates new methodological challenges. Thus, existing approaches invariably resort to time-discretisations which inevitably lead to approximations in inference. In this paper, we give the first general collection of methodologies for exact (in this context meaning discretisation-free) likelihood-based inference for discretely observed finite activity jump-diffusions. The only sources of error in...
-
作者:Battey, Heather S.; Reid, Nancy
作者单位:Imperial College London; University of Toronto
摘要:This paper develops an approach to inference in a linear regression model when the number of potential explanatory variables is larger than the sample size. The approach treats each regression coefficient in turn as the interest parameter, the remaining coefficients being nuisance parameters, and seeks an optimal interest-respecting transformation, inducing sparsity on the relevant blocks of the notional Fisher information matrix. The induced sparsity is exploited through a marginal least-squa...