Xin Gao

  1. Generalized genetic association study with samples of related individuals.

    Authors: Xin Gao, Zeny Feng, William W. L. Wong, Flavio Schenkel
    Subjects: Applications
    Abstract

    Genetic association study is an essential step to discover genetic factors
    that are associated with a complex trait of interest. In this paper we present
    a novel generalized quasi-likelihood score (GQLS) test that is suitable for a
    study with either a quantitative trait or a binary trait. We use a logistic
    regression model to link the phenotypic value of the trait to the distribution
    of allelic frequencies. In our model, the allele frequencies are treated as a
    response and the trait is treated as a covariate that allows us to leave the
    distribution of the trait values unspecified.

  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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