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作者：Wu, HQ; Wu, CFJ
作者单位：Iowa State University; University of Michigan System; University of Michigan
摘要：Wu and Hamada recommend selecting resolution IV designs with the maximum number of clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a method by using graphical representations, combinatorial and group-theoretic arguments to prove if a given design is a MaxC2 design. In particular, we show that all known minimum aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the second 2(9-4), 2(13-7), 2(16-10) and 2(17-11) designs giv...
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作者：Regazzini, E; Guglielmi, A; Di Nunno, G
作者单位：University of Pavia; Consiglio Nazionale delle Ricerche (CNR)
摘要：The distribution of a mean or, more generally, of a vector of means of a Dirichlet process is considered. Some characterizing aspects of this paper are: (i) a review of a few basic results, providing new formulations free from many of the extra assumptions considered to date in the literature, and giving essentially new, simpler and more direct proofs; (ii) new numerical evaluations, with any prescribed error of approximation, of the distribution at issue; (iii) a new form for the law of a vec...
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作者：McCullagh, P
作者单位：University of Chicago
摘要：This paper addresses two closely related questions, What is a statistical model? and What is a parameter? The notions that a model must make sense, and that a parameter must have a well-defined meaning are deeply ingrained in applied statistical work, reasonably well understood at an instinctive level, but absent from most formal theories of modelling and inference. In this paper, these concepts are defined in algebraic terms, using morphisms, functors and natural transformations. It is argued...
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作者：Fraser, DAS; Reid, N
作者单位：University of Toronto
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作者：Park, BU; Kim, WC; Jones, MC
作者单位：Seoul National University (SNU); Open University - UK
摘要：This paper considers a class of local likelihood methods introduced by Eguchi and Copas. Unified asymptotic results are presented in the usual smoothing context of the bandwidth, h, tending to zero as the sample size tends to infinity. We present our results pointwise in the univariate case, but then go on to extend them to global properties and to indicate how to cope with the multivariate case. Specific members of the class due to Copas, and Hjort and Jones are seen to be members of a subset...
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作者：Bickel, PJ
作者单位：University of California System; University of California Berkeley
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作者：Brons, H
作者单位：University of Copenhagen
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作者：Helland, IS
作者单位：University of Oslo
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作者：Dudley, RM; Haughton, D
作者单位：Massachusetts Institute of Technology (MIT); Bentley University
摘要：Let Theta be a parameter space included in a finite-dimensional Euclidean space and let A be a half-space. Suppose that the maximum likelihood estimate theta(n) of theta is not in A (otherwise, replace A by its complement) and let A be the maximum log likelihood (at theta(n)) minus the maximum log likelihood over the boundary partial derivativeA. It is shown that under some conditions, uniformly over all half-spaces A, either the posterior probability of A is asymptotic to Phi (-root2Delta) wh...
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作者：Wu, WB; Mielniczuk, J
作者单位：University of Chicago; Polish Academy of Sciences; Institute of Computer Science of the Polish Academy of Sciences
摘要：In this paper we provide a detailed characterization of the asymptotic behavior of kernel density estimators for one-sided linear processes. The conjecture that asymptotic normality for the kernel density estimator holds under short-range dependence is proved under minimal assumptions on bandwidths. We also depict the dichotomous and trichotomous phenomena for various choices of bandwidths when the process is long-range dependent.
