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作者：Cheng, MY; Fan, JQ; Marron, JS
作者单位：National Chung Cheng University; University of North Carolina; University of North Carolina Chapel Hill
摘要：Many popular curve estimators based on smoothing have difficulties caused by boundary effects. These effects are visually disturbing in practice and can play a dominant role in theoretical analysis. Local polynomial regression smoothers are known to correct boundary effects automatically. Some analogs are implemented for density estimation and the resulting estimators also achieve automatic boundary corrections. In both settings of density and regression estimation, we investigate best weight ...
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作者：Murphy, SA; van der Vaart, AW
作者单位：Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Vrije Universiteit Amsterdam
摘要：Likelihood ratio tests and related confidence intervals for a real parameter in the presence of an infinite dimensional nuisance parameter are considered. In all cases, the estimator of the real parameter has an asymptotic normal distribution. However, the estimator of the nuisance parameter may not be asymptotically Gaussian or may converge to the true parameter value at a slower rate than the square root of the sample size. Nevertheless the likelihood ratio statistic is shown to possess an a...
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作者：Uddin, N; Morgan, JP
作者单位：Tennessee Technological University; Old Dominion University
摘要：This paper addresses the problems of determination and construction of universally optimal designs in two-dimensional blocks of size p x 2, assuming within-block observations are correlated. Generalized least-squares estimation of treatment contrasts is considered in four fixed block-effects models: (I) with fixed row and column effects, (II) with the row effects only, (III) with the column effects only, and (IV) with neither row nor column effects. For a general dependence structure and p = 2...
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作者：Li, KC
作者单位：University of California System; University of California Los Angeles
摘要：It is not uncommon to find nonlinear patterns in the scatterplots of regressor variables. But how such findings affect standard regression analysis remains largely unexplored. This article offers a theory on nonlinear confounding, a term for describing the situation where a certain nonlinear relationship in regressors leads to difficulties in modeling and related analysis of the data. The theory begins with a measure of nonlinearity between two regressor variables. It is then used to assess no...
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作者：Butler, SM; Louis, TA
作者单位：University of Minnesota System; University of Minnesota Twin Cities; University of Kentucky
摘要：We consider a general random effects model for repeated binary measures, assuming a latent linear model with any class of mixing distributions. The latent model is assumed to have the Laird-Ware structure, but the random effects may be from any specified class of multivariate distributions and the error vector may have any specified continuous distribution. Elementwise threshold crossing then gives the observed vector of binary outcomes. Special cases of this model include recently discussed m...
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作者：Brown, LD; Hwang, JTG; Munk, A
作者单位：University of Pennsylvania; Cornell University; Ruhr University Bochum
摘要：It is shown that the standard two one-sided tests procedure for bioequivalence is a biased test. Better tests exist. In this paper, an unbiased alpha-level test and other tests which are uniformly more powerful than the two one-sided tests procedure are constructed. Its power can be noticeably larger than that of the alpha-level two one-sided tests procedure.
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作者：Hsieh, F
作者单位：National Taiwan University
摘要：Pertaining to the estimating equations proposed by Tsiatis, based on the Linear rank test, we show the existence of local confounding between the baseline hazard function and the covariates. Due to the local confounding, an estimating equation in Tsiatis' family with a larger time point of truncation could contain less information about the regression parameter than the estimating equation with a smaller time point of truncation. This phenomenon further indicates significant loss of efficiency...
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作者：Kong, A; Liu, JS; Wong, WH
作者单位：University of Chicago; Stanford University; University of California System; University of California Los Angeles
摘要：By noting the connection with h-sample U-statistics, we find a simple decomposition of the variance of the cross-match estimate, which can be regarded as a generalization of Efron and Stein. We apply the decomposition in assessing efficiencies of several plans of using the weighted samples from an importance scheme. The applications of the formula to multiple imputations lead to a method of crossing jointly imputed data to gain more accuracy.
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作者：Hedayat, S; Stufken, J; Su, GQ
作者单位：University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; Iowa State University
摘要：We study the construction of orthogonal arrays with three levels and index 1 and the existence of orthogonal arrays with three levels and index 2. For strength greater than or equal to 2, we show that orthogonal arrays with three levels and index 1 are unique, and we establish the maximum number of factors for orthogonal arrays with three levels and index 2.
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作者：Fan, JQ
作者单位：University of North Carolina; University of North Carolina Chapel Hill; Chinese University of Hong Kong
