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作者：Uddin, N; Morgan, JP
作者单位：Tennessee Technological University; Old Dominion University
摘要：This paper addresses the problems of determination and construction of universally optimal designs in two-dimensional blocks of size p x 2, assuming within-block observations are correlated. Generalized least-squares estimation of treatment contrasts is considered in four fixed block-effects models: (I) with fixed row and column effects, (II) with the row effects only, (III) with the column effects only, and (IV) with neither row nor column effects. For a general dependence structure and p = 2...
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作者：Suen, CY; Chen, H; Wu, CFJ
作者单位：University System of Ohio; Cleveland State University; University System of Ohio; Case Western Reserve University; University of Michigan System; University of Michigan
摘要：Chen and Hedayat and Tang and Wu studied and characterized minimum aberration 2(n-m) designs in terms of their complemetary designs. Based on a new and more powerful approach, we extend the study to identify minimum aberration q(n-m) designs through their complementary designs. By using MacWilliams identities and Krawtchouk polynomials in coding theory, we obtain some general and explicit relationships between the wordlength pattern of a q(n-m) design and that of its complementary design. Thes...
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作者：Hengartner, NW
作者单位：Yale University
摘要：Let X-1,X-2,...,X-n be an i.i.d. sample from the Poisson mixture distribution p(x) = (1/x!)integral(o)(infinity) s(x)e(-s) f(s)ds. Rates of convergence in mean integrated squared error (MISE) of orthogonal series estimators for the mixing density f supported on [a, b] are studied. For the Holder class of densities whose rth derivative is Lipschitz alpha, the MISE converges at the rate (log n/log log n)(-2(r + alpha)). For Sobolev classes of densities whose rth derivative is square integrable, ...
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作者：Junker, BW; Ellis, JL
作者单位：Carnegie Mellon University; Radboud University Nijmegen
摘要：Recently, the problem of characterizing monotone unidimensional latent variable models for binary repeated measures was studied by Ellis and van den Wollenberg and by Junker. We generalize their work with a de Finetti-like characterization of the distribution of repeated measures X = (X-1, X-2,...) that can be represented with mixtures of likelihoods of independent but not identically distributed random variables, where the data satisfy a stochastic ordering property with respect to the mixing...
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作者：Geiger, D; Heckerman, D
作者单位：Technion Israel Institute of Technology; Microsoft
摘要：We provide a new characterization of the Dirichlet distribution. Let theta(ij), 1 less than or equal to i less than or equal to k, 1 less than or equal to j less than or equal to n, be positive random variables that sum to unity. Define theta(i). = Sigma(j=1)(n) theta(ij), theta(I), = (theta(i.))(i=1)(k-1), theta(j\1) = theta(ij)/Sigma(j)theta(ij) and theta(J\i) = (theta(j\i))(j=1)(n-1). We prove that if (theta(I)., theta(J\1),..., theta(J\k)) are mutually independent and (theta.(J), theta(I\l...
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作者：Gordon, L; Pollak, M
作者单位：Hebrew University of Jerusalem
摘要：Observations are taken independently and sequentially. Detection of a change in distribution is studied when the problem has an invariance structure. The prechange distribution is assumed to be a member of a specified family and is assumed known up to a nuisance parameter. We provide a general method of constructing surveillance schemes in the presence of a nuisance parameter and give sufficient conditions for approximating their average run lengths to false alarm. Applications include detecti...
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作者：Yang, S
作者单位：Texas Tech University System; Texas Tech University
摘要：The product-limit estimator (PLE) and weighted empirical processes are two important ingredients of almost any censored regression analysis. A link between them is provided by the generalized PLEs introduced in this paper. These generalized PLEs are the product-limit integrals of the empirical cumulative hazard function estimators in which weighted empirical processes are used to replace the standard empirical processes. The weak convergence and some large sample approximations of the generali...
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作者：Chen, K; Lo, SH
作者单位：Hong Kong University of Science & Technology; Columbia University
摘要：By approximating the classical product-limit estimator of a distribution function with an average of iid random variables, we derive sufficient and necessary conditions for the rate of(both strong and weak) uniform convergence of the product-limit estimator over the whole line. These findings somehow fill a longstanding gap in the asymptotic theory of survival analysis. The result suggests a natural way of estimating the rate of convergence. We also prove a related conjecture raised by Gill an...
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作者：Cheng, MY
作者单位：National Chung Cheng University
摘要：Local linear density estimators achieve automatic boundary corrections and enjoy some typical optimal properties. Proper choice of the smoothing parameters is crucial for their performance. A data-based bandwidth selector is developed in the spirit of plug-in rules. Consistency and asymptotic normality of the selected bandwidth are demonstrated. The bandwidth is very efficient regardless of whether there are non-smooth boundaries in the support of the density or not.
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作者：DasGupta, A; Strawderman, WE
作者单位：Purdue University System; Purdue University; Rutgers University System; Rutgers University New Brunswick
摘要：For the canonical problem of estimating the mean of a multivariate normal distribution with a known covariance matrix using a squared error loss, we give a general method for finding estimates that have risk functions identical to that of a given inadmissible estimate. In the case of more than one dimension, the estimates considered are spherically symmetric, but in one dimension no such assumption is made. Generally speaking, we characterize all estimates which have the risk duplication prope...
