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作者：Davidov, Ori; Peddada, Shyamal
作者单位：University of Haifa; National Institutes of Health (NIH) - USA; NIH National Institute of Environmental Health Sciences (NIEHS)
摘要：Researchers are often interested in drawing inferences regarding the order between two experimental groups on the basis of multivariate response data. Since standard multivariate methods are designed for two-sided alternatives, they may not be ideal for testing for. order between two groups. In this article we introduce the notion of the linear stochastic order and investigate its properties. Statistical theory and methodology are developed to both estimate the direction which best separates t...
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作者：Vanderweele, Tyler J.; Shpitser, Ilya
作者单位：Harvard University; Harvard T.H. Chan School of Public Health; Harvard University; Harvard T.H. Chan School of Public Health
摘要：The causal inference literature has provided a clear formal definition of confounding expressed in terms of counterfactual independence. The literature has not, however, come to any consensus on a formal definition of a confounder, as it has given priority to the concept of confounding over that of a confounder. We consider a number of candidate definitions arising from various more informal statements made in the literature. We consider the properties satisfied by each candidate definition, p...
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作者：Saegusa, Takumi; Wellner, Jon A.
作者单位：University of Washington; University of Washington Seattle; University of Washington; University of Washington Seattle
摘要：We develop asymptotic theory for weighted likelihood estimators (WLE) under two-phase stratified sampling without replacement. We also consider several variants of WLEs involving estimated weights and calibration. A set of empirical process tools are developed including a Glivenko-Cantelli theorem, a theorem for rates of convergence of M-estimators, and a Donsker theorem for the inverse probability weighted empirical processes under two-phase sampling and sampling without replacement at the se...
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作者：Liu, Weidong; Shao, Qi-Man
作者单位：Shanghai Jiao Tong University; Chinese University of Hong Kong
摘要：A Cramer moderate deviation theorem for Hotelling's T-2-statistic is proved under a finite (3 + delta)th moment. The result is applied to large scale tests on the equality of mean vectors and is shown that the number of tests can be as large as e(0)(n(1/3)) before the chi-squared distribution calibration becomes inaccurate. As an application of the moderate deviation results, a global test on the equality of m mean vectors based on the maximum of Hotelling's T-2-statistics is developed and its...
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作者：Jiang, Jiming
作者单位：University of California System; University of California Davis
摘要：We give answer to an open problem regarding consistency of the maximum likelihood estimators (MLEs) in generalized linear mixed models (GLMMs) involving crossed random effects. The solution to the open problem introduces an interesting, nonstandard approach to proving consistency of the MLEs in cases of dependent observations. Using the new technique, we extend the results to MLEs under a general GLMM. An example is used to further illustrate the technique.
