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作者：Bowsher, Clive G.
作者单位：University of Cambridge
摘要：The dynamic properties and independence structure of stochastic kinetic models (SKMs) are analyzed. An SKM is a highly multivariate jump process used to model chemical reaction networks, particularly those in biochemical and cellular systems. We identify SKM subprocesses with the corresponding counting processes and propose a directed, cyclic graph (the kinetic independence graph or KIG) that encodes the local independence structure of their conditional intensities. Given a partition [A, D, B]...
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作者：Huang, Jian; Horowitz, Joel L.; Wei, Fengrong
作者单位：University of Iowa; Northwestern University; University System of Georgia; University of West Georgia
摘要：We consider a nonparametric additive model of a conditional mean function in which the number of variables and additive components may be larger than the sample size but the number of nonzero additive components is small relative to the sample size. The statistical problem is to determine which additive components are nonzero. The additive components are approximated by truncated series expansions with B-spline bases. With this approximation, the problem of component selection becomes that of ...
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作者：Lloyd, Chris; Kabaila, Paul
作者单位：La Trobe University
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作者：Scott, James G.; Berger, James O.
作者单位：University of Texas System; University of Texas Austin; Duke University
摘要：This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens automatically in Bayesian analysis, and to distinguish this correction from the Bayesian Ockham's-razor effect. Our second goal is to contrast empirical-Bayes and fully Bayesian approaches to variable selection through examples, theoretical results and simulations. Considerable differences between ...
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作者：Bigot, Jeremie; Gadat, Sebastien
作者单位：Universite de Toulouse; Universite Toulouse III - Paul Sabatier; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS)
摘要：This paper considers the problem of adaptive estimation of a mean pattern in a randomly shifted curve model. We show that this problem can be transformed into a linear inverse problem, where the density of the random shifts plays the role of a convolution operator. An adaptive estimator of the mean pattern, based on wavelet thresholding is proposed. We study its consistency for the quadratic risk as the number of observed curves tends to infinity, and this estimator is shown to achieve a near-...
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作者：Sullivant, Seth; Talaska, Kelli; Draisma, Jan
作者单位：North Carolina State University; University of Michigan System; University of Michigan; Eindhoven University of Technology
摘要：Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. Submatrices with low rank correspond to generalizations of conditional independence constraints on collections of random variables. We give a precise graph-theoretic characterization of when submatrices of the covariance matrix have small rank for a general class of mixed graphs that includes directed acyclic and undirected graphs as special cases. Our new trek separation criterion genera...
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作者：Jensen, Jens Ledet; Fuh, Cheng-Der
作者单位：National Central University; Academia Sinica - Taiwan
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作者：Olshen, Richard A.; Rajaratnam, Bala
作者单位：Stanford University; Stanford University; Stanford University
摘要：Standard statistical techniques often require transforming data to have mean 0 and standard deviation I. Typically, this process of standardization or normalization is applied across subjects when each subject produces a single number. High throughput genomic and financial data often come as rectangular arrays where each coordinate in one direction concerns subjects who might have different status (case or control, say), and each coordinate in the other designates outcome for a specific featur...
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作者：Hallin, Marc; Paindaveine, Davy; Siman, Miroslav
作者单位：Universite Libre de Bruxelles
摘要：A new multivariate concept of quantile, based on a directional version of Koenker and Bassett's traditional regression quantiles, is introduced for multivariate location and multiple-output regression problems. In their empirical version, those quantiles can be Computed efficiently via linear programming techniques. Consistency, Bahadur representation and asymptotic normality results are established. Most importantly, the contours generated by those quantiles are shown to coincide with the cla...
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作者：Groeneboom, Piet; Jongbloed, Geurt; Witte, Birgit I.
作者单位：Delft University of Technology
摘要：We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable.) event time in the current status model. A well studied and natural nonparametric estimator for the distribution function in this model is the nonparametric maximum likelihood estimator (MILE). We study two alternative methods for the estimation of the distribution function, assuming some smoothness of the event time distribution. The first estimator is based oil a maximum smo...
