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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：Chiaromonte, F; Cook, RD; Li, B
作者单位：Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; University of Minnesota System; University of Minnesota Twin Cities
摘要：In this article, we describe how the theory of sufficient dimension reduction, and a well-known inference method for it (sliced inverse regression), can be extended to regression analyses involving both quantitative and categorical predictor variables. As statistics faces an increasing need for effective analysis strategies for high-dimensional data, the results we present significantly widen the applicative scope of sufficient dimension reduction and open the way for a new class of theoretica...
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作者：Claeskens, G; Hall, P
作者单位：Australian National University; Texas A&M University System; Texas A&M University College Station
摘要：In kernel density estimation, those data values that make a nondegenerate contribution to the estimator (computed at a given point) tend to be spaced well apart. This property has the effect of suppressing many of the conventional consequences of long-range dependence, for example, slower rates of convergence, which might otherwise be revealed by a traditional loss-or risk-based assessment of performance. From that viewpoint, dependence has to be very long-range indeed before a density estimat...
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作者：Picard, D; Tribouley, K
作者单位：Universite Paris Cite
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作者：Brillinger, DR
作者单位：University of California System; University of California Berkeley
摘要：As both practicing data analyst and scientific methodologist, John W. Tukey made an immense diversity of contributions to science, government and industry. This article reviews some of the highly varied aspects of his life. Following articles address specific contributions to important areas of statistics. I believe that the whole country-scientifically, industrially, financially-is better off because of him and bears evidence of his influence.
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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：Adrover, J; Yohai, V
作者单位：National University of Cordoba; University of Buenos Aires; Consejo Nacional de Investigaciones Cientificas y Tecnicas (CONICET)
摘要：In this paper we study the maximum asymptotic bias of the projection estimate for multivariate location based on univariate estimates of location and dispersion. In particular we study the projection estimate that uses the median and median absolute deviation about the median (MAD) as univariate location and dispersion estimates respectively. This estimator may be considered a natural affine equivariant multivariate median. For spherical distributions the maximum bias of this estimate depends ...
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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：Butler, RW; Wood, ATA
作者单位：Colorado State University System; Colorado State University Fort Collins; University of Nottingham
摘要：In this paper we present Laplace approximations for two functions of matrix argument: the Type I confluent hypergeometric function and the Gauss hypergeometric function, Both of these functions play an important role in distribution theory in multivariate analysis, but from a practical point of view they have proved challenging, and they have acquired a reputation for being difficult to approximate, Appealing features of the approximations we present are: (i) they are fully explicit (and simpl...
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作者：Cheng, CS; Mukerjee, R
作者单位：University of California System; University of California Berkeley; Indian Institute of Management (IIM System); Indian Institute of Management Calcutta
