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作者:Bayarri, MJ; Berger, J
作者单位:University of Valencia; Duke University
摘要:Selection models arise when the data are selected to enter the sample only if they occur in a certain region of the sample space. When this selection occurs according to some probability distribution, the resulting model is often instead called a weighted distribution model. In either case the original density becomes multiplied by a weight function w(x). Often there is considerable uncertainty concerning this weight function; for instance, it may be known only that w Lies between two specifie...
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作者:Cheng, CS; Martin, RJ; Tang, BX
作者单位:University of California System; University of California Berkeley; University of Sheffield; University of Memphis
摘要:The construction of run orders of two-level factorial designs with extreme (minimum and maximum) numbers of level changes is considered. Minimizing the number of level changes is mainly due to economic considerations, while the problem of maximizing the number of level changes arises from some recent results on trend robust designs. The construction is based on the fact that the 2(k) runs of a saturated regular fractional factorial design for 2(k) -1 factors can be ordered in such a way that t...
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作者:Terbeck, W; Davies, PL
作者单位:University of Duisburg Essen
摘要:The two-way analysis of variance with interactions is a well established and integral part of statistics. In spite of its long standing, it is shown that the standard definition of interactions is counterintuitive and obfuscates rather than clarifies. A different definition of interaction is given which among other advantages allows the detection of interactions even in the case of one observation per cell. A characterization of unconditionally identifiable interaction patterns is given and it...
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作者:Massam, H; Neher, E
作者单位:York University - Canada; University of Virginia; University of Ottawa
摘要:In this paper we generalize the major results of Andersson and Perlman on LCI models to the setting of symmetric cones and give an explicit closed form formula for the estimate of the covariance matrix in the generalized LCI models that we define. To this end, we replace the cone H-I(+)(R) sitting inside the Jordan algebra of symmetric real I x I-matrices by the symmetric cone Omega of an Euclidean Jordan algebra V. We introduce the Andersson-Perlman cone Omega(K) subset of or equal to Omega w...
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作者:Fourdrinier, D; Strawderman, WE; Wells, MT
作者单位:Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); Rutgers University System; Rutgers University New Brunswick; Cornell University
摘要:Bayes estimation of the mean of a multivariate normal distribution is considered under quadratic loss. We show that, when particular spherical priors are used, the superharmonicity of the square root of the marginal density provides a viable method for constructing (possibly proper) Bayes (and admissible) minimax estimators. Examples illustrate the theory; most notably it is shown that a multivariate Student-t prior yields a proper Bayes minimax estimate.
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作者:Dette, H; Röder, I
作者单位:Ruhr University Bochum; Ruhr University Bochum; Leipzig University
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作者:Dümbgen, L
作者单位:Ruprecht Karls University Heidelberg; University of Lubeck
摘要:Suppose one observes a process V on the unit interval, where dV = f(o)+ dW with an unknown parameter f(o) epsilon L-1[0, 1] and standard Brownian motion W. We propose a particular test of one-point hypotheses about f(o) which is based on suitably standardized increments of V. This test is shown to have desirable consistency properties if, for instance, f(o) is restricted to various Holder classes of functions. The test is mimicked in the context of nonparametric density estimation, nonparametr...
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作者:Ling, SQ; Li, WK
作者单位:University of Hong Kong
摘要:This paper investigates the maximum likelihood estimator (MLE) for unstable autoregressive moving-average (ARMA) time series with the noise sequence satisfying a general autoregressive heteroscedastic (GARCH) process. Under some mild conditions, it is shown that the MLE satisfying the likelihood equation exists and is consistent. The limiting distribution of the RILE is derived in a unified manner for all types of characteristic roots on or outside the unit circle and is expressed as a functio...
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作者:Choudhuri, N
作者单位:University of Michigan System; University of Michigan
摘要:This paper shows that the Bayesian bootstrap (BB) distribution of a multidimensional mean functional based on i.i.d. observations has a strongly unimodal Lebesgue density provided the convex hull of the data has a nonempty interior. This result is then used to construct the finite sample BE credible sets. The influence of an outlier on these credible sets is studied in detail and a comparison is made with the empirical likelihood ratio confidence sets in this context.
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作者:Amit, Y; Geman, D
作者单位:University of Chicago; University of Massachusetts System; University of Massachusetts Amherst