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Optimal Sparse Segment Identification With Application in Copy Number Variation Analysis

稀疏信号段的最优识别及其拷贝数变异应用

Motivated by DNA copy number variation (CNV) analysis based on high-density single nucleotide polymorphism (SNP) data, we consider the problem of detecting and identifying sparse short segments in a long one-dimensional sequence of data with additive Gaussian white noise, where the number, length and location of the segments are unknown. We present a statistical characterization of the identifiable region of a segment where it is possible to reliably separate the segment…

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Variable Selection in Nonparametric Varying-Coefficient Models for Analysis of Repeated Measurements

重复测量分析中非参数变系数模型的变量选择

Nonparametric varying-coefficient models are commonly used for analysis of data measured repeatedly over time, including longitudinal and functional responses data. While many procedures have been developed for estimating the varying-coefficients, the problem of variable selection for such models has not been addressed. In this article, we present a regularized estimation procedure for variable selection that combines basis function approximations and the smoothly clipped…

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