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作者:Aldrich, John
作者单位:University of Southampton
摘要:Karl Pearson edited Biometrika for the first 35 years of its existence. Not only did he shape the journal, he also contributed over 200 pieces and inspired, more or less directly, most of the other contributions. The journal could not be separated from the man.
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作者:He, Yuanzhen; Tang, Boxin
作者单位:Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; Simon Fraser University
摘要:This paper introduces, constructs and studies a new class of arrays, called strong orthogonal arrays, as suitable designs for computer experiments. A strong orthogonal array of strength t enjoys better space-filling properties than a comparable orthogonal array in all dimensions lower than t while retaining the space-filling properties of the latter in t dimensions. Latin hypercubes based on strong orthogonal arrays of strength t are more space-filling than comparable orthogonal array-based La...
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作者:Zhao, Shengli; Li, Pengfei; Karunamuni, Rohana
作者单位:Qufu Normal University; University of Waterloo; University of Alberta
摘要:This paper considers the construction of blocked two-level regular designs with weak minimum aberration. We first obtain the minimum value of the number of two-factor interactions which are aliased with the block effects. Based on this result, two methods are then proposed in two different scenarios to construct weak minimum aberration blocked two-level designs with respect to some existing combined wordlength patterns.
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作者:Gandy, Axel; Lau, F. Din-Houn
作者单位:Imperial College London
摘要:Cumulative sum or cusum charts are typically used to detect a change in the distribution of a sequence of observations, e.g., shifts in the mean. Usually, after signalling, the chart is restarted by setting it to some value below the signalling threshold. We propose a non-restarting cusum chart which is able to detect periods during which the stream is out of control. Further, we advocate an upper boundary to prevent the cusum chart rising too high, which helps to detect a change back into con...
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作者:Jeng, X. Jessie; Cai, T. Tony; Li, Hongzhe
作者单位:North Carolina State University; University of Pennsylvania; University of Pennsylvania
摘要:Copy number variant is an important type of genetic structural variation appearing in germline DNA, ranging from common to rare in a population. Both rare and common copy number variants have been reported to be associated with complex diseases, so it is important to identify both simultaneously based on a large set of population samples. We develop a proportion adaptive segment selection procedure that automatically adjusts to the unknown proportions of the carriers of the segment variants. W...
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作者:Banerjee, Anjishnu; Dunson, David B.; Tokdar, Surya T.
作者单位:Duke University
摘要:Gaussian processes are widely used in nonparametric regression, classification and spatiotemporal modelling, facilitated in part by a rich literature on their theoretical properties. However, one of their practical limitations is expensive computation, typically on the order of n(3) where n is the number of data points, in performing the necessary matrix inversions. For large datasets, storage and processing also lead to computational bottlenecks, and numerical stability of the estimates and p...
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作者:Cai, T. Tony; Li, Hongzhe; Liu, Weidong; Xie, Jichun
作者单位:University of Pennsylvania; University of Pennsylvania; Shanghai Jiao Tong University; Shanghai Jiao Tong University; Pennsylvania Commonwealth System of Higher Education (PCSHE); Temple University
摘要:Motivated by analysis of genetical genomics data, we introduce a sparse high-dimensional multivariate regression model for studying conditional independence relationships among a set of genes adjusting for possible genetic effects. The precision matrix in the model specifies a covariate-adjusted Gaussian graph, which presents the conditional dependence structure of gene expression after the confounding genetic effects on gene expression are taken into account. We present a covariate-adjusted p...
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作者:Wood, Simon N.
作者单位:University of Bath
摘要:The problem of testing smooth components of an extended generalized additive model for equality to zero is considered. Confidence intervals for such components exhibit good across-the-function coverage probabilities if based on the approximate result, where f is the vector of evaluated values for the smooth component of interest and V (f) is the covariance matrix for f according to the Bayesian view of the smoothing process. Based on this result, a Wald-type test of f=0 is proposed. It is show...
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作者:Li, Chenxi; Fine, Jason P.
作者单位:University of North Carolina; University of North Carolina Chapel Hill
摘要:We study the nonparametric estimation of the cumulative incidence function and the cause-specific hazard function for current status data with competing risks via kernel smoothing. A smoothed naive nonparametric maximum likelihood estimator and a smoothed full nonparametric maximum likelihood estimator are shown to have pointwise asymptotic normality and faster convergence rates than the corresponding unsmoothed nonparametric likelihood estimators. Using the smoothed estimators and the plug-in...
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作者:Ogburn, Elizabeth L.; Vanderweele, Tyler J.
作者单位:Harvard University; Harvard T.H. Chan School of Public Health; Harvard University; Harvard T.H. Chan School of Public Health
摘要:Suppose we are interested in the effect of a binary treatment on an outcome where that relationship is confounded by an ordinal confounder. We assume that the true confounder is not observed but, rather, we observe a nondifferentially mismeasured version of it. We show that, under certain monotonicity assumptions about its effect on the treatment and on the outcome, an effect measure controlling for the mismeasured confounder will fall between the corresponding crude and true effect measures. ...