中文摘要：

变化系数模型是古典线性模型的有用延期。他们广泛地被用于经济， biomedicine，传染病学等等。他们上有广泛的研究在最近三十年年。在这份报纸，许多与变化系数模型有关的模型被聚集起来。各种变化系数模型上的假设测试的评价过程和理论被总结。从我的意见，等待学习的一些方面被建议。

英文摘要：

Varying-coefficient models are a useful extension of classical linear model. They are widely applied to economics, biomedicine, epidemiology, and so on. There are extensive studies on them in the latest three decade years. In this paper, many of models related to varying-coefficient models are gathered up. All kinds of the estimation procedures and theory of hypothesis test on the varying-coefficients model are summarized. Prom my opinion, some aspects waiting to study are proposed.