Yuehua Wu

  1. A Novel Approach for Fast Detection of Multiple Change Points in Linear Models.

    Authors: Yuehua Wu, Xiaoping Shi, Baisuo Jin
    Subjects: Methodology
    Abstract

    A change point problem occurs in many statistical applications. If there
    exist change points in a model, it is harmful to make a statistical analysis
    without any consideration of the existence of the change points and the results
    derived from such an analysis may be misleading. There are rich literatures on
    change point detection. Although many methods have been proposed for detecting
    multiple change points, using these methods to find multiple change points in a
    large sample seems not feasible.

  2. Tuning parameter selection for penalized likelihood estimation of inverse covariance matrix.

    Authors: Xin Gao, Daniel Q. Pu, Yuehua Wu, Hong Xu
    Subjects: Methodology
    Abstract

    In a Gaussian graphical model, the conditional independence between two
    variables are characterized by the corresponding zero entries in the inverse
    covariance matrix. Maximum likelihood method using the smoothly clipped
    absolute deviation (SCAD) penalty (Fan and Li, 2001) and the adaptive LASSO
    penalty (Zou, 2006) have been proposed in literature. In this article, we
    establish the result that using Bayesian information criterion (BIC) to select
    the tuning parameter in penalized likelihood estimation with both types of
    penalties can lead to consistent graphical model selection.

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