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作者：Phoa, Frederick K. H.
作者单位：Academia Sinica - Taiwan
摘要：The study of good nonregular fractional factorial designs has received significant attention over the last two decades. Recent research indicates that designs constructed from quaternary codes (QC) are very promising in this regard. The present paper aims at exploring the fundamental structure and developing a theory to characterize the wordlengths and aliasing indexes for a general (1/4)(p)th-fraction QC design. Then the theory is applied to (1/64)th-fraction QC designs. Examples are given, i...
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作者：Comte, Fabienne; Johannes, Jan
作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Catholique Louvain
摘要：We consider the estimation of the slope function in functional linear regression, where scalar responses are modeled in dependence of random functions. Cardot and Johannes [J. Multivariate Anal. 101 (2010) 395-408] have shown that a thresholded projection estimator can attain up to a constant minimax-rates of convergence in a general framework which allows us to cover the prediction problem with respect to the mean squared prediction error as well as the estimation of the slope function and it...
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作者：Chetelat, Didier; Wells, Martin T.
作者单位：Cornell University
摘要：We consider the problem of estimating the mean vector of a p-variate normal (theta, Sigma) distribution under invariant quadratic loss, (delta - theta)'Sigma(-1) (delta - theta), when the covariance is unknown. We propose a new class of estimators that dominate the usual estimator delta(0)(X) = X. The proposed estimators of theta depend upon X and an independent Wishart matrix S with n degrees of freedom, however, S is singular almost surely when p > n. The proof of domination involves the dev...
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作者：Adler, Robert J.; Subag, Eliran; Taylor, Jonathan E.
作者单位：Technion Israel Institute of Technology; Stanford University
摘要：We provide a new approach, along with extensions, to results in two important papers of Worsley, Siegmund and coworkers closely tied to the statistical analysis of fMRI (functional magnetic resonance imaging) brain data. These papers studied approximations for the exceedence probabilities of scale and rotation space random fields, the latter playing an important role in the statistical analysis of fMRI data. The techniques used there came either from the Euler characteristic heuristic or via t...
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作者：Ma, Shujie
作者单位：University of California System; University of California Riverside
摘要：We propose a two-step estimating procedure for generalized additive partially linear models with clustered data using estimating equations. Our proposed method applies to the case that the number of observations per cluster is allowed to increase with the number of independent subjects. We establish oracle properties for the two-step estimator of each function component such that it performs as well as the univariate function estimator by assuming that the parametric vector and all other funct...
