Browse Graduate Dissertations and Theses at Illinois by Subject "U-statistics"

  • Yao, Shun (2017-07-14)
    The study of dependence for high dimensional data originates in many different areas of contemporary research. While a lot of existing work focuses on measuring the linear dependence and monotone dependence for fixed ...

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  • Yu, Mengjia (2020-06-26)
    Change point inference refers to detection of structural breaks of a sequence observation, which may have one or more distributional shifts subject to models such as mean or covariance changes. In this dissertation, we ...

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  • Zhu, Changbo (2020-07-15)
    Statistical inference is a procedure of using collected observations to deduce properties of the underlying data generating process. In this thesis, we investigate three important problems in high-dimensional statistics ...

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  • Wang, Runmin (2020-07-14)
    Owing to the advances in the science and technology, there is a surge of interest in high-dimensional data. Many methods developed in low or fixed dimensional setting may not be theoretically valid under this new setting, ...

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