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作者：Phoa, Frederick K. H.; Xu, Hongquan
作者单位：University of California System; University of California Los Angeles
摘要：The research of developing a general methodology for the construction of good nonregular designs has been very active in the last decade. Recent research by Xu and Wong [Statist. Sinica 17 (2007) 1191-1213] suggested a new class of nonregular designs Constructed from quaternary codes. This paper explores the properties and uses Of quaternary codes toward the construction of quarter-fraction nonregular designs. Some theoretical results are obtained regarding the aliasing structure Of Such desig...
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作者：Mueller, Ursula U.
作者单位：Texas A&M University System; Texas A&M University College Station
摘要：We consider regression models with parametric (linear or nonlinear) regression function and allow responses to be missing at random. We assume that the errors have mean zero and are independent of the covariates. In order to estimate expectations of functions of covariate and response we use a fully imputed estimator, namely all empirical estimator based oil estimators of conditional expectations given the covariate. We exploit the independence of covariates and errors by writing the condition...
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作者：Hu, Feifang; Zhang, Li-Xin; He, Xuming
作者单位：University of Virginia; Zhejiang University; University of Illinois System; University of Illinois Urbana-Champaign
摘要：Response-adaptive randomization hits recently attracted a lot of attention in the literature. In this paper, we propose a new and simple family of response-adaptive randomization procedures that attain the cramer-Rao lower bounds on the allocation variances for any allocation proportions including optimal allocation proportions. The allocation Probability functions of proposed procedures are discontinuous. The existing large sample theory for adaptive designs relies on Taylor expansions of the...
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作者：Johannes, Jan
作者单位：Ruprecht Karls University Heidelberg
摘要：We consider the problem of estimating a density f(X) using a sample Y-l,....Y-n from f(Y) = f(X) star f(is an element of), where f(is an element of) is an unknown density. We assume that all additional sample is an element of(l),...,is an element of(m) from f(is an element of) is observed. Estimators of f(X) and its derivatives are constructed by using nonparametric estimators of f(X) and f(is an element of) and by applying a spectral cut-off in the Fourier domain. We derive the rate of conver...
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作者：Zhang, Tong
作者单位：Rutgers University System; Rutgers University New Brunswick
摘要：We derive sharp performance bounds for least squares regression With L-1 regularization front parameter estimation accuracy and feature selection quality perspectives. The main result proved for L-1 regularization extends it similar result in [Ann. Statist. 35 (2007) 2313-2351] for the Dantzig selector. It gives an affirmative answer to an open question in [Ann. Statist. 35 (2007) 2358-2364]. Moreover, the result leads to an extended view of feature selection that allows less restrictive condi...
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作者：James, Gareth M.; Wang, Jing; Zhu, Ji
作者单位：University of Southern California; University of Michigan System; University of Michigan
摘要：Regression models to relate a scalar Y to a functional predictor X(t) are becoming increasingly common. Work in this area has concentrated on estimating a coefficient function, beta(t), with Y related to X(t) through integral beta(t)X(t)dt. Regions where beta (t) not equal 0 correspond to places where there is a relationship between X (t) and Y. Alternatively, points where beta(t) = 0 indicate no relationship. Hence, for interpretation put-poses, it is desirable for a regression procedure to b...
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作者：Anderes, Ethan; Chatterjee, Sourav
作者单位：University of California System; University of California Davis; University of California System; University of California Berkeley
摘要：This paper proves fixed domain asymptotic results for estimating a smooth invertible transformation f:R-2 -> R-2 when observint, the deformed oil a dense,rid in a bounded, simply connected random field Z o f on a dense grid in a bounded, simply connected domain Omega, where Z is assumed to be an isotropic Gaussian random field on R-2. The estimate f is constructed on a simply connected domain U, such that (U) over bar subset of Omega and is defined using kernel smoothed quadratic variations, B...
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作者：Song, Rui; Kosorok, Michael R.; Fine, Jason P.
作者单位：University of North Carolina; University of North Carolina Chapel Hill; University of North Carolina; University of North Carolina Chapel Hill
摘要：We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile likelihood are Constructed and shown to be asymptotically optimal under a weighted average power criterion with respect to a prior oil the nonidentifiable aspect of the model. These results extend existing results for parametric models, which involve more restrictiv...
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作者：Yuan, Ao
作者单位：Howard University
摘要：Bayesian and frequentist methods differ in many aspects, but share some basic optimality properties. In practice, there are situations in which one of the methods is more preferred by some criteria. We consider the case of inference about a Set Of Multiple parameters, which can be divided into two disjoint subsets. On one set, a frequentist method may be favored and on the other, the Bayesian. This motivates a joint estimation procedure in which some of the parameters are estimated Bayesian, a...
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作者：Zhang, Cun-Hui; Zhang, Zhiyi
作者单位：Rutgers University System; Rutgers University New Brunswick; University of North Carolina; University of North Carolina Charlotte
摘要：This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237-264]. This new necessary and sufficient condition extends the validity of the asymptotic normality beyond the previously proven cases.
