Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
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高斯随机函数与 DNA 小环几何形状的二阶比较
DOI：
10.1198/jasa.2010.tm09239
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发表时间：
2010
影响因子：
3.7
通讯作者：
["V. Panaretos
中科院分区：
文献类型：
--
作者：
["V. Panaretos
给定 [0,1] 上连续零均值独立同分布高斯过程的两个样本，我们考虑测试它们是否共享相同协方差结构的问题。我们的研究的动机是确定短链 DNA 的机械特性是否受到其碱基对序列的显着影响；尽管预计是真实的，但迄今为止尚未在三维电子显微镜数据中观察到。测试问题被认为涉及不适定反问题的各个方面，并且提出并研究了基于经验协方差算子的希尔伯特-施密特距离的 Karhunen-Loève 近似的测试。当应用于通过电子显微镜获得的 DNA 小环数据集时，我们的测试似乎表明序列对 DNA 形状有潜在的影响。补充材料可在线获取。
Given two samples of continuous zero-mean iid Gaussian processes on [0,1], we consider the problem of testing whether they share the same covariance structure. Our study is motivated by the problem of determining whether the mechanical properties of short strands of DNA are significantly affected by their base-pair sequence; though expected to be true, had so far not been observed in three-dimensional electron microscopy data. The testing problem is seen to involve aspects of ill-posed inverse problems and a test based on a Karhunen–Loève approximation of the Hilbert–Schmidt distance of the empirical covariance operators is proposed and investigated. When applied to a dataset of DNA minicircles obtained through the electron microscope, our test seems to suggest potential sequence effects on DNA shape. Supplemental material available online.