Heteroscedastic replicated measurement error models under asymmetric heavy-tailed distributions
Heteroscedastic replicated measurement error models under asymmetric heavy-tailed distributions
复制标题
非对称重尾分布下的异方差重复测量误差模型
DOI:
10.1007/s00180-017-0720-8
复制
发表时间:
2018-03
期刊:
影响因子:
--
通讯作者:
Shi Jian Qing
中科院分区:
文献类型:
--
作者:
Cao Chunzheng;Chen Mengqian;Wang Yahui;Shi Jian Qing
We propose a heteroscedastic replicated measurement error model based on the class of scale mixtures of skew-normal distributions, which allows the variances of measurement errors to vary across subjects. We develop EM algorithms to calculate maximum likelihood estimates for the model with or without equation error. An empirical Bayes approach is applied to estimate the true covariate and predict the response. Simulation studies show that the proposed models can provide reliable results and the inference is not unduly affected by outliers and distribution misspecification. The method has also been used to analyze a real data of plant root decomposition.
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