半参数过度离散广义线性模型的变量选择和模型平均
Variable Selection and Model Averaging in Semiparametric Overdispersed Generalized Linear Models
摘要:
我们将双指数回归模型中的均值和方差项表示为预测变量的加性函数,并使用贝叶斯变量选择来确定哪些预测变量进入模型,以及它们是线性进入还是灵活进入。当方差项为零时,得到一个广义可加模型,如果预测变量线性地进入均值,则该模型成为一个广义线性模型。该模型估计使用马尔可夫链蒙特卡罗模拟和方法说明使用真实和模拟数据集。
英文摘要:
We express the mean and variance terms in a double exponential regression model as additive functions of the predictors and use Bayesian variable selection to determine which predictors enter the model, and whether they enter linearly or flexibly. When the variance term is null we obtain a generalized additive model, which becomes a generalized linear model if the predictors enter the mean linearly. The model is estimated using Markov chain Monte Carlo simulation and the methodology is illustrated using real and simulated data sets.
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