Bayesian partial linear model for skewed longitudinal data.

Bayesian partial linear model for skewed longitudinal data.
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DOI:
10.1093/biostatistics/kxv005
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发表时间:
2015-07
期刊:
影响因子:
2.1
通讯作者:
Yuanyuan Tang;D. Sinha;D. Pati;S. Lipsitz;S. Lipshultz
Yuanyuan Tang;D. Sinha;D. Pati;S. Lipsitz;S. Lipshultz
中科院分区:
数学2区
文献类型:
--
作者:
Yuanyuan Tang;D. Sinha;D. Pati;S. Lipsitz;S. Lipshultz

文献摘要

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Unlike majority of current statistical models and methods focusing on mean response for highly skewed longitudinal data, we present a novel model for such data accommodating a partially linear median regression function, a skewed error distribution and within subject association structures. We provide theoretical justifications for our methods including asymptotic properties of the posterior and associated semiparametric Bayesian estimators. We also provide simulation studies to investigate the finite sample properties of our methods. Several advantages of our method compared with existing methods are demonstrated via analysis of a cardiotoxicity study of children of HIV-infected mothers.