Abstract
. In this article, we develop one kind of varying-coefficients latent variable model and its corresponding estimation method based on local-polynomial theory. The model is an expansion of classical latent variable model to varying-coefficients ones, in which the relations among latent variables and observed variables are allowed to vary as smooth functions of another variable. As comparison, we use the existing quantile varying-coefficients latent variable model and its estimation method. Simulation studies and real data analysis are carried out to illustrate the performances of our proposed models and estimation methods.
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