Title
Heteroscedastic replicated measurement error models under asymmetric heavy-tailed distributions
Abstract
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.
Year
DOI
Venue
2018
10.1007/s00180-017-0720-8
Computational Statistics
Keywords
DocType
Volume
Scale mixtures of skew-normal distributions, Maximum likelihood estimates, EM algorithm, Robustness
Journal
33
Issue
ISSN
Citations 
1
1613-9658
0
PageRank 
References 
Authors
0.34
7
4
Name
Order
Citations
PageRank
Chun-Zheng Cao161.62
Mengqian Chen200.68
Yahui Wang300.34
Jianqing Shi413.07