Title
Estimation And Prediction Of A Generalized Mixed-Effects Model With T-Process For Longitudinal Correlated Binary Data
Abstract
We propose a generalized mixed-effects model based on t-process for longitudinal correlated binary data. The correlations among repeated binary outcomes are defined by a latent t-process, which provides a new framework on modeling nonlinear random- effects. The covariance kernel of the process can adaptively capture the subject-specific variations while the heavy-tails of the t-process enable robust inferences. We develop an efficient estimation procedure based on Monte Carlo EM algorithm and a prediction approach through conditional inference. Numerical studies indicate that the estimation and prediction based on the proposed model is robust against outliers compared with Gaussian model. We use the renal anemia and meteorological data as illustrative examples.
Year
DOI
Venue
2021
10.1007/s00180-020-01057-0
COMPUTATIONAL STATISTICS
Keywords
DocType
Volume
Functional data, Heavy-tailed process, Prediction, Random-effects, Robustness
Journal
36
Issue
ISSN
Citations 
2
0943-4062
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Chunzheng Cao100.34
Ming He200.34
Jianqing Shi313.07
Xin Liu400.34