关键词: 函数型数据分析, 变系数零膨胀模型, 函数型零膨胀模型, B-样条, Karhunen-Loève表示

Abstract: Actual data analysis frequently comes across the case where zero-inflated count response will be related to both a function-valued random variable and random vector as the predictor variables. Functional partially varying coefficient zero-inflated model (FPVCZIM) is discussed in the paper, and the infinite slope function is approximated by the principal component basis function and coefficient functions are fitted by Bspline. The expectation-maximization algorithm is used to obtain the estimators, and their theoretical properties are considered. The rates of convergency of the estimators of infinite slope function and coefficient functions are obtained under some regularity conditions, respectively. Both finite sample Monte Carlo simulation studies and real data analysis are used to illustrate our proposed method.

Key words: Functional Data Analysis, Varying Coefficient Zero-inflated Model, Functional Zero-inflated Model, B-spline, Karhunen-Loève Representation