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Application of Distance Covariance to Extremes and Time Series and Inference for Linear Preferential Attachment Networks

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서명/저자사항Application of Distance Covariance to Extremes and Time Series and Inference for Linear Preferential Attachment Networks.
개인저자Wan, Phyllis.
단체저자명Columbia University. Statistics.
발행사항[S.l.]: Columbia University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항174 p.
기본자료 저록Dissertation Abstracts International 79-11B(E).
Dissertation Abstract International
ISBN9780438088733
학위논문주기Thesis (Ph.D.)--Columbia University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Adviser: Richard A. Davis.
요약This thesis covers four topics: i) Measuring dependence in time series through distance covariance
요약Topic i) studies a dependence measure based on characteristic functions, called distance covariance, in time series settings. Distance covariance recently gathered popularity for its ability to detect nonlinear dependence. In particular, we char
요약Topic ii) proposes a goodness-of-fit test for general classes of time series model by applying the auto-distance covariance function (ADCV) to the fitted residuals. Under the correct model assumption, the limit distribution for the ADCV of the r
요약Topic iii) considers data in the multivariate regular varying setting where the radial part R is asymptotically independent of the angular part as thetaR goes to infinity. The goal is to estimate the limiting distribution of theta given R&rarr
요약Topic iv) investigates inference questions related to the linear preferential attachment model for network data. Preferential attachment is an appealing mechanism based on the intuition "the rich get richer" and produces the well-observed power-
일반주제명Statistics.
언어영어
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